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@lucaspg96
Last active December 12, 2017 12:22
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import math\n",
"from scipy.special import binom\n",
"import skfuzzy as fuzz\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.lines as mlines\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"from matplotlib.font_manager import FontProperties\n",
"%matplotlib inline "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def nmc(c,n):\n",
" soma = 0 \n",
" for i in range(1,c+1):\n",
" soma = soma + binom(c,i)*(-1)**(c-i)*i**(n)\n",
"\n",
" return (1 /math.factorial(c))*soma\n",
"\n",
"def distancia(a,b):\n",
" return math.sqrt(sum((a-b)**2))\n",
"\n",
"def HCM(U,pontos):\n",
" centroides = np.zeros((U.shape[0],pontos.shape[1]))\n",
" for i in range(centroides.shape[0]):\n",
" for j in range(centroides.shape[1]):\n",
" centroides[i,j] = pontos[:,j].dot(U[i])/sum(U[i])\n",
" \n",
" d = [[distancia(c,p) for p in pontos] for c in centroides]\n",
" d = np.array(d)\n",
" \n",
" U1 = np.zeros(U.shape)\n",
" for l in range(U.shape[1]):\n",
" c = np.argmin(d[:,l])\n",
" U1[c,l] = 1\n",
" \n",
" return U1,centroides\n",
"\n",
"def FCM(U, pontos, m=2):\n",
" centroides = np.zeros((U.shape[0],pontos.shape[1]))\n",
" \n",
" for i in range(centroides.shape[0]):\n",
" for j in range(centroides.shape[1]):\n",
" centroides[i,j] = pontos[:,j].dot(U[i]**m)/sum(U[i]**m)\n",
" \n",
" d = [[distancia(c,p) for p in pontos] for c in centroides]\n",
" d = np.array(d)\n",
" \n",
" U1 = np.zeros(U.shape)\n",
" for l in range(U.shape[0]):\n",
" for c in range(U.shape[1]):\n",
" U1[l,c] = (( d[l,c]/d[0,c] )**2 + (d[l,c]/d[1,c])**2)**(-1)\n",
" \n",
" inds = np.where(np.isnan(U1))\n",
" U1[inds] = 1\n",
" return U1,centroides\n",
"\n",
"def plot(pontos,U,centroides):\n",
" cores_pontos = [\"bo\",\"r^\"]\n",
" cores_centroides = [\"co\",\"m^\"]\n",
" \n",
" fig,ax = plt.subplots()\n",
" for i,c in enumerate(U):\n",
" ax.plot(centroides[i,0],centroides[i,1],cores_centroides[i],label='Centro do Grupo {}'.format(i+1))\n",
" pontos_centroide = []\n",
" for j,p in enumerate(U.T):\n",
" if p.argmax()==i:\n",
" pontos_centroide.append(pontos[j])\n",
" \n",
" pontos_centroide = np.array(pontos_centroide)\n",
" ax.plot(pontos_centroide[:,0],pontos_centroide[:,1],cores_pontos[i],label=\"C{}\".format(i+1))\n",
" \n",
" ax.legend(loc='upper right')\n",
" ax.legend(bbox_to_anchor=(1.30, 1.05))\n",
" ax.grid(True)\n",
" plt.show() \n",
"\n",
"def plot3d(pontos,U,centroides,labels=[\"X label\",\"Y label\",\"Z label\"]):\n",
" cores_pontos = [\"b^\",\"ro\",\"go\"]\n",
" cores_centroides = [\"c^\",\"mo\",\"yo\"]\n",
" \n",
" fig = plt.figure(figsize=(10,10))\n",
" ax = fig.add_subplot(111, projection='3d')\n",
"\n",
" for i,c in enumerate(U):\n",
" ax.scatter(centroides[i,0],centroides[i,1],centroides[i,2],c=cores_centroides[i][0],\n",
" marker=cores_centroides[i][1],label='Centro do Grupo {}'.format(i+1))\n",
" pontos_centroide = []\n",
" for j,p in enumerate(U.T):\n",
" if p.argmax()==i:\n",
" pontos_centroide.append(pontos[j])\n",
" \n",
" pontos_centroide = np.array(pontos_centroide)\n",
" ax.scatter(pontos_centroide[:,0], pontos_centroide[:,1], pontos_centroide[:,2], c=cores_pontos[i][0], marker=cores_pontos[i][1],label=\"C{}\".format(i+1))\n",
" \n",
" ax.legend(loc='upper right')\n",
" ax.legend(bbox_to_anchor=(1.30, 1.05))\n",
" ax.set_xlabel(labels[0])\n",
" ax.set_ylabel(labels[1])\n",
" ax.set_zlabel(labels[2])\n",
" ax.grid(True)\n",
" plt.show() \n",
" \n",
"def trust_metric(U):\n",
" return (U@U.T).trace()/U.shape[1]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Questão 1 (10.2)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0.6, 0.2, 0. , 0.8],\n",
" [ 0.3, 0.3, 0.8, 0.1],\n",
" [ 0.1, 0.5, 0.2, 0.1]])"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"M = np.array([[.6,.2,.0,.8],[.3,.3,.8,.1],[.1,.5,.2,.1]])\n",
"M"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0.6, 0.3, 0.3, 0.6],\n",
" [ 0.3, 0.5, 0.3, 0.2],\n",
" [ 0.3, 0.3, 0.8, 0.1],\n",
" [ 0.6, 0.2, 0.1, 0.8]])"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"R = fuzz.maxmin_composition(M.transpose(),M)\n",
"R"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 1., 0., 0., 1.],\n",
" [ 0., 1., 0., 0.],\n",
" [ 0., 0., 1., 0.],\n",
" [ 1., 0., 0., 1.]])"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"for i in range(R.shape[0]):\n",
" for j in range(R.shape[1]):\n",
" R[i,j] = 1 if R[i,j]>=0.5 else 0\n",
"\n",
"R"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Dada a matriz acima, os conjuntos que obtemos são: \n",
"[ x1 , x4 ] , [ x2 ] , [ x3 ]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Questão 2 (10.5)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[1, 1, 0, 0],\n",
" [0, 0, 1, 1]])"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#matriz de classificação\n",
"U = np.array([[1,1,0,0],[0,0,1,1]])\n",
"U"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 5, 5],\n",
" [ 6, 8],\n",
" [ 8, 10],\n",
" [ 9, 12]])"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pontos = np.array([[5,5],[6,8],[8,10],[9,12]])\n",
"pontos"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"U20: ----------------\n",
"[[ 0.96412723 0.81599046 0.05283268 0.02878368]\n",
" [ 0.03587277 0.18400954 0.94716732 0.97121632]]\n",
"\n",
"[[ 5.42371963 6.26158562]\n",
" [ 8.46476461 10.96632189]]\n"
]
},
{
"data": {
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AgMgLpWhVSLrJzOLMzCTdKqk0PLEQjJkzpWefbZzBMnNKTm58PvOSN3QBAEAk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\nRlV/Nmu2lQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117db5ac8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Ux = U\n",
"centroides = np.zeros((U.shape[0],pontos.shape[1]))\n",
"for i in range(1,21):\n",
" Ux,centroides = FCM(Ux,pontos)\n",
"print(\"U{}: ----------------\".format(i))\n",
"print(Ux)\n",
"print()\n",
"print(centroides)\n",
"\n",
"plot(pontos,Ux,centroides)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Questão 3 (10.8)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[1, 0, 0, 0],\n",
" [0, 1, 1, 1]])"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"U = np.array([[1,0,0,0],[0,1,1,1]])\n",
"U"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[-3. , 1. ],\n",
" [-2. , 2. ],\n",
" [-1. , 1.5],\n",
" [ 1. , 2. ]])"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pontos = np.array([[-3,1],[-2,2],[-1,1.5],[1,2]])\n",
"pontos"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/lucasperes/miniconda3/envs/fuzzy/lib/python3.6/site-packages/ipykernel_launcher.py:40: RuntimeWarning: invalid value encountered in double_scalars\n",
"/Users/lucasperes/miniconda3/envs/fuzzy/lib/python3.6/site-packages/ipykernel_launcher.py:40: RuntimeWarning: divide by zero encountered in double_scalars\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"U3: ----------------\n",
"[[ 0.97197017 0.81558989 0.24736344 0.08624258]\n",
" [ 0.02802983 0.18441011 0.75263656 0.91375742]]\n",
"\n",
"[[-2.61914882 1.33679297]\n",
" [-0.10617366 1.76732883]]\n"
]
},
{
"data": {
"image/png": 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HP/jB2JqaGrN27dob9u3bF5yRkTFm/Pjx8TU1NSY8PDwpKysrPD4+fsKaNWtu2L59++Dk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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11b1b18d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Ux = U\n",
"centroides = np.zeros((U.shape[0],pontos.shape[1]))\n",
"for i in range(1,4):\n",
" Ux,centroides = FCM(Ux,pontos)\n",
"print(\"U{}: ----------------\".format(i))\n",
"print(Ux)\n",
"print()\n",
"print(centroides)\n",
"\n",
"plot(pontos,Ux,centroides)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Questão 4 (10.11)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0.679 , 85.5 , 2.25 ],\n",
" [ 0.7056, 93. , 2.177 ],\n",
" [ 0.701 , 91. , 2.253 ],\n",
" [ 0.718 , 98.3 , 2.177 ]])"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pontos = np.array([[.679,85.5,2.25],[0.7056,93.0,2.177],[0.701,91.0,2.253],[.718,98.3,2.177]])\n",
"pontos"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[1, 0, 0, 0],\n",
" [0, 1, 1, 1]])"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"U = np.array([[1,0,0,0],[0,1,1,1]])\n",
"U"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### item a)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[ 1. 0. 0. 0.]\n",
" [ 0. 1. 1. 1.]]\n",
"\n",
"[[ 0.679 85.5 2.25 ]\n",
" [ 0.7082 94.1 2.20233333]]\n"
]
},
{
"data": {
"image/png": 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HXAAwPz+vdbvd2s985jMeAHjggQfm3333XXPs/T/88EPzAw88sAAAx44dmxdu/+tf/2r5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\n2LBh+Pn58eWXX3LlypXHPmyYmJio8yE8Ly+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"text/plain": [
"<matplotlib.figure.Figure at 0x1105b8cf8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"U2,centroides = HCM(U,pontos)\n",
"print(U2)\n",
"print()\n",
"print(centroides)\n",
"\n",
"plot3d(pontos,U2,centroides,labels=[\"Density(g/m3)\",\"Average molecular weight(g)\",\"H/C molecular ratio\"])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### item b)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/lucasperes/miniconda3/envs/fuzzy/lib/python3.6/site-packages/ipykernel_launcher.py:40: RuntimeWarning: invalid value encountered in double_scalars\n",
"/Users/lucasperes/miniconda3/envs/fuzzy/lib/python3.6/site-packages/ipykernel_launcher.py:40: RuntimeWarning: divide by zero encountered in double_scalars\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"U6: ----------------\n",
"[[ 0.99302868 0.06236234 0.38446218 0.08078576]\n",
" [ 0.00697132 0.93763766 0.61553782 0.91921424]]\n",
"\n",
"[[ 0.68201241 86.27376349 2.24971595]\n",
" [ 0.70967307 94.73471617 2.19105479]]\n"
]
},
{
"data": {
"image/png": 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HXAAwPz+vdbvd2s985jMeAHjggQfm3333XXPs/T/88EPzAw88sAAAx44dmxdu/+tf/2r5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2/MeL955pln8MwzzyT9b88//3za341EImhpacEvf/lLdHR0QKfTQavVoqysLGW2OYVSKlAhLhKp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\nyaQgyuPxOKxWK9ra2iTx4iVx9Q6HQ5KESykhw17j4+OS+CKL/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fcumUzi3r17sqd5ZoPM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\nEEIIITTg/wCw9bgz7JHrowAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11b38cf28>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Ux = U\n",
"centroides = np.zeros((U.shape[0],pontos.shape[1]))\n",
"for i in range(1,7):\n",
" Ux,centroides = FCM(Ux,pontos)\n",
"print(\"U{}: ----------------\".format(i))\n",
"print(Ux)\n",
"print()\n",
"print(centroides)\n",
"\n",
"plot3d(pontos,Ux,centroides,labels=[\"Density(g/m3)\",\"Average molecular weight(g)\",\"H/C molecular ratio\"])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### item c)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.81184677803934624"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"trust_metric(Ux)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### item d)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0.99302868, 0.06236234, 0.38446218, 0.08078576],\n",
" [ 0.00697132, 0.93763766, 0.61553782, 0.91921424]])"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Ux"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Questão 4 (10.12)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 1. , 420. ],\n",
" [ 1.7, 370. ],\n",
" [ 1. , 260. ],\n",
" [ 9. , 310. ],\n",
" [ 9.5, 265. ]])"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pontos = np.array([[1,420],[1.7,370],[1,260],[9,310],[9.5,265]])\n",
"pontos"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[1, 1, 1, 0, 0],\n",
" [0, 0, 0, 1, 1]])"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"U = np.array([[1,1,1,0,0],[0,0,0,1,1]])\n",
"U"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### item a)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[ 1. 1. 0. 0. 0.]\n",
" [ 0. 0. 1. 1. 1.]]\n",
"\n",
"[[ 1.23333333 350. ]\n",
" [ 9.25 287.5 ]]\n"
]
}
],
"source": [
"U2,centroides = HCM(U,pontos)\n",
"print(U2)\n",
"print()\n",
"print(centroides)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### item b)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"U6: ----------------\n",
"[[ 0.97088479 0.93438927 0.01490714 0.13952258 0.00735198]\n",
" [ 0.02911521 0.06561073 0.98509286 0.86047742 0.99264802]]\n",
"\n",
"[[ 1.41879613 395.00526268]\n",
" [ 6.2935352 275.74155715]]\n"
]
}
],
"source": [
"Ux = U\n",
"centroides = np.zeros((U.shape[0],pontos.shape[1]))\n",
"for i in range(1,7):\n",
" Ux,centroides = FCM(Ux,pontos)\n",
"print(\"U{}: ----------------\".format(i))\n",
"print(Ux)\n",
"print()\n",
"print(centroides)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### item c)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.90735506049875492"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"trust_metric(Ux)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### item d)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0.97088479, 0.93438927, 0.01490714, 0.13952258, 0.00735198],\n",
" [ 0.02911521, 0.06561073, 0.98509286, 0.86047742, 0.99264802]])"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Ux"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Questão 6 (11.10)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"velocidades = np.arange(0,27,1)\n",
"v1 = fuzz.gaussmf(velocidades,5,3)\n",
"v2 = fuzz.gaussmf(velocidades,10,5)\n",
"v3 = fuzz.gaussmf(velocidades,15,3)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
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rplArEHl7ZyBLRdiEEGLLdf7FHoQOVRzCnqI9AAC1Qo1bL7hV5hmdTdx9+4ui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\nlJuLjk4wUwIDcW1oaK+vIT0T70776PBHMJm7X9o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NbEgI/54wgQnR0QC4gfPy8vhPB0bH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\npZRSSinb/wcmHWelSPRSNwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11b26bb70>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,ax = plt.subplots()\n",
"ax.plot(velocidades,v1,'g',linewidth=3,label='Low vel')\n",
"ax.plot(velocidades,v2,'c',linewidth=3,label='Medium vel')\n",
"ax.plot(velocidades,v3,'m',linewidth=3,label= 'High vel')\n",
"\n",
"ax.set_ylabel('grau de pertinencia')\n",
"ax.set_xlabel('Valores da Variavel de Entrada')\n",
"\n",
"ax.legend(loc='upper right')\n",
"ax.legend(bbox_to_anchor=(1.60, 1.15))\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"areas = np.arange(0,177,1)\n",
"a1 = fuzz.gaussmf(areas,50,26)\n",
"a2 = fuzz.gaussmf(areas,100,18)\n",
"a3 = fuzz.gaussmf(areas,150,4)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ud+S2p/cW1QvwC8ADAx+Q2y//9rLbzbIqqKvDr6WlAAACMEGl2WiN+fpwmk3x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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117e1b588>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,ax = plt.subplots()\n",
"ax.plot(areas,a1,'g',linewidth=3,label='Small area')\n",
"ax.plot(areas,a2,'c',linewidth=3,label='Medium area')\n",
"ax.plot(areas,a3,'m',linewidth=3,label= 'Big area')\n",
"\n",
"ax.set_ylabel('grau de pertinencia')\n",
"ax.set_xlabel('Valores da Variavel de Entrada')\n",
"\n",
"ax.legend(loc='upper right')\n",
"ax.legend(bbox_to_anchor=(1.60, 1.15))\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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RgjGsTUuDp3lJ7XhLC57Jy7Muur4zHAqN8/w1U6gViLi7I5ClImxCCLHmPP9i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\npJRSSill08RIKaWUUsr2/wEgH2ixh/Y1TgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11c31cc18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"v = 8\n",
"fig,ax = plt.subplots()\n",
"ax.plot(velocidades,v1,'g',linewidth=3,label='Low vel')\n",
"ax.plot(velocidades,v2,'c',linewidth=3,label='Medium vel')\n",
"ax.plot(velocidades,v3,'m',linewidth=3,label= 'High vel')\n",
"\n",
"ax.vlines(v,0,1,linewidth=3)\n",
"ax.plot(v,v1[v],'ro')\n",
"ax.plot(v,v2[v],'ro')\n",
"ax.plot(v,v3[v],'ro')\n",
"\n",
"ax.set_ylabel('grau de pertinencia')\n",
"ax.set_xlabel('Valores da Variavel de Entrada')\n",
"\n",
"ax.legend(loc='upper right')\n",
"ax.legend(bbox_to_anchor=(1.60, 1.15))\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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WG4fTrIqvw9sYSuMeI8a8HidGHqaoqgjv7XlPart7b1EDfx9/3D/ofqn96u+v\nutwsq6L6evym0wEACMBEhWajNeXtw2lWxdfN9BhZFV9zjxFjXo8TIw/z9s63UWuoBQAMiBuAsT3H\nKhyR/dw/+H74qs2bfu44s0NauNJVfHP+vLQ32vCQEMRqta0e7ywTIyOl/+hby8tRWO9dW19YDaU1\nU2PEPUaMMTlOjDxIvbEeb+18S2rPGzbPal8odxcbFIub+90stRf9vkjBaC4kH6a6xgWG0RpEabUY\nGRoKABAwJ3DeQghhVXzd7Ky0cJ6Vxhhr5NDEiIjGE1EeER0loiea+X4oEa0lohwi2k9EsxwZj6f7\n7MBnKKgsAADEBcXh+vTrFY7I/h65+BHp+ZeHvsSxkmMKRtOo2mjED6WlUtsV6ovkvHU4zVRjgqgz\nD7mSL0Hlf+FbntW2ILyOEWNez2GJERGpAbwBYAKAdAAziCi9yWEPADgghMgCMBrAq0TkGuMPbki+\n+OF9g+6DVu15P8qMmAyMTxoPABAQLrNNyA8lJagxmQfS0gMCkBwQoHBE1uQ9WD+WlKDS4B09I/Kh\nMZ9wn2Z7UHkdI8aYnCN7jIYAOCqEOC6EqAfwMYBrmhwjAAST+d0qCEAJAH5n6oDtp7dje/52AObN\nYu8ZdI/CETnO3IvnSs+X5yx3iQUfv5INT7nSMFqDXv7+6BsYCACoE8Kqd8uTtbaBbAN58TXXGDHG\nHJkYxQM4JWuftrwm9zqANABnAOwD8LAQwgTWbq/90dhbNCNzBmICnb9xqbOM6zUOaVFpAIDK+kqs\nyFmhaDwmIazqdlxtGK2BPK6vvWQ4ra3Ca8A6YeJZaYwxpYuvrwSwB0BXAP0BvE5EIU0PIqK7iWgn\nEe0sku1DxczOVJyxWtBxztA5CkbjeESE+wc3Tt1/Y8cbik7dz66oQLHe/IEa4+ODQcHBisXSGvny\nAd+XlMDkYssdOEJbhdcAF18zxqw5MjHKB5Aga3ezvCY3C8AXwuwogBMAUpteSAixVAgxSAgxKFrB\nvadc1ZKdS6SVoEd2H+kRCzq25dasWxGkDQIAHCw+iM0nNysWy7qSEun5+IgIqFx0JuCg4GBE+ZiT\ng0K9HjmVlQpH5Hg29RiFaKR3QmOlESY9d1oz5s0cmRjtAJBMRD0tBdXTAXzd5Ji/AIwFACKKBdAH\nwHEHxuRx9EY9lu5aKrXnDPHs3qIGIb4huKXfLVL7jR1vKBbL900SI1elIrJaBVset6eyKr5uoceI\nVGTda8QFhV86AAAgAElEQVR1Rox5NYclRkIIA4AHAawHcBDAf4UQ+4noXiK613LY8wCGE9E+ABsA\nzBdCeEfxg52sPbwWZyvPAjBP0Z+SOkXhiJzngcEPSM+/PPQlTpefdnoMJXo9tpebi78JwBUunBgB\nwARZfOu8IDGyKr5uoccI4AJsxlgjh9YYCSG+E0KkCCF6CyFesLz2thDibcvzM0KIK4QQfYUQmUKI\njxwZjydakr1Eej77otnwUTf/W7EnyojJwKgeowAARmHE0uylbZxhfz+WlkqrXQ8JDkakj2v//OWJ\n21adDjoPn7bf1nYgzX2PC7AZ825KF1+zTjheehw/HPsBAEAg3DngToUjcj55r9HS7KWoNzp3u4t1\nstloE1xkb7TWxGi1UnG4EcBPHj5tv60NZBvwUBpjrAEnRm5sWfYy6fn4pPHoEdZDwWiUMSV1CroG\ndwUAFFYV4uu8pmVsjmMSwm3qi+TkcXp6nZFV8XUrPUZWq19zjxFjXo0TIzdVb6zHe3vek9r3DPTc\nBR1b46P2weyLZkvtZbuWtXK0feVUVqLQMk0/UqNx2Wn6TVnVGZ0/r+hSB45mNZTWSo0R9xgxxhpw\nYuSmvjr0Fc5VnQMAxAfH4+qUqxWOSDmzL5oNgnmK/I/HfsTJspNOua+8t+WKiAioXXSaflNDgoMR\npjEnAvn19dhfVaVwRI5j61CavMeI1zJizLtxYuSmmhZda1Qt/zbs6XqE9cAVva8AYN4/7d1d7zrl\nvvJZXRPcZBgNADQqldW0fU+enWbQ2dhjFCbrMdJxYsSYN+PEyA0dLTmKDSc2AABUpPLKouum7hpw\nl/T8vT3vSQteOorOYMBWnU5qu/o0/aa8oc5ICAGjzii1NaEtJ0bqULX0nBMjxrwbJ0ZuSD4t/ark\nq5AQmtDK0d5hUp9J0v5wZyrOYN2RdQ6934bSUjR85A4MCkKsVuvQ+9mbPDH6VadDpQdO2zdVmyAM\n5vop8iWofFt+u5MnTYYyz/tZMMZsZ1NiRERXE9HjRPRMw8PRgbHm1Rnq8P6e96W2txZdN6VVa3F7\n1u1S+53d7zj0fvJp7le6WW8RAMT5+qJfYCAAQC8EfpX1fnkKq2G0VnqLmn6fe4wY825tJkZE9DaA\nGwE8BPPivtMAeN+8cBex5tAaFFebFwdPCEnAhKQJCkfkOuRDit8e/hZnKs447F4bZInRWFm9jju5\nXBa3J65n1NHESD78xhjzPrb0GA0XQtwKoFQI8XcAwwCkODYs1hL5MNqdA+6EWqVu5WjvkhyZjNGJ\nowGYV8J+f/f7rZ/QQadqa3G4pgYA4KdSYXhIiEPu42jjODGScI0RY6yBLYlRjeVrNRF1BaAHEOe4\nkFhLjpUcw6aTmwCYi67l6/cwM3kR9ru734VJ2H+ndHlv0cjQUPip3TM5vSQsDD6WJQb2VlWhsN65\nq4Y7mrznR574NIeH0hhjDWxJjL4hojAA/wSwC8BJAKsdGRRr3vI9y6XnVyVfhfiQeOWCcVHXpV2H\nCH9zzc+JshPYcHyD3e+xoaxMej42LMzu13eWQLXaqrdrg4f1GnGNEWOsI9pMjIQQzwshyoQQn8Nc\nW5QqhHja8aExOaPJiA9yPpDas/rPUjAa1+Wn8cMt/W6R2vZeCVsIYTXsNM5N64saePJwWnsSI5W/\nCqQx956JOgFTnf17Ghlj7qHFxIiILrN8va7hAeBqAGMtz5kTbTixAafKTwEAogKiMDFlosIRuS75\ncNqXh75EUVWR3a59sLoaZy1DTmEaDS5yk21AWtI0MfKk7UHakxgREdcZMcYAtN5jNMrydVIzD/5U\ndjL5FP2b+94Mrdq91s1xpoyYDAzrNgwAoDfpsWLvCrtdWz7cNCYszG22AWnJoOBghFhqpE7V1eFI\nTU0bZ7gPq8Udw9peGZ6H0xhjQCuJkRBioeXrrGYedzgvRFZSU4I1B9dI7Tsu4h9/W+RT99/f877d\nekI8aRgNMG8PMkZWJ+VJw2ny5Kat4muAEyPGmJkt6xi9aCm+bmiHE9E/HBsWk1u9bzXqjHUAgIFx\nA9E3tq/CEbm+aenTEOATAADIPZeLXQW7On1Ng8mEzfLCaw9IjADPrTNqz1Ba02N4LSPGvJcts9Im\nCCGkTwMhRCmAqxwXEmtKPozGvUW2CfYNxvXp10tt+c+wo7IrK1FuNH9gxmu1SPH37/Q1XYE8MdpY\nWgqjh9QZtTsx4o1kGWOwLTFSE5FvQ4OI/AH4tnI8s6O9hXuRXZANAPBV+2JG5gyFI3If8pl7q/at\nQq2htlPXazqMRm5eX9SgT0AA4i17vemMRmRXVCgckX3YuoFsAy6+ZowBtiVGKwFsIKLZRDQbwI8A\nPmjjHGYn8tWbr027FuH+njF84wyX9rgUiWGJAIDS2lKszVvbqet5wjYgzSEijxxO4xojxlhH2LKO\n0UsAXgCQZnk8L4R42dGBMaDeWI+P9n0kte/oz8No7aEildXGsp0ZTqs2GrFFttGqJyVGgGfWGRnK\nOl5jJD+XMeZdbOkxghBinRDiUctjvaODYmbfHP7GasPYy3pepnBE7ue2/rdJz9cfW4/88vwOXWeL\nTod6S+1NWkAAuvp61miyPNHbotOh2uj+xcdcfM0Y6whbZqVdR0RHiEhHROVEVEFE5c4Iztu9t/s9\n6fnt/W/nDWM7IDEsEWMSxwAATMLU4TWNPHUYrUGcry8yAsyz+OqFwG+y3jF3JIRod2LENUaMMcC2\nHqOXAUwWQoQKIUKEEMFCCPfcTtyNnKk4g3VH10nt2/vfrlwwbk5ehL18z/IOrWkk3x/NE9Yvao4n\nDaeZqk2ApdOHfAkq37bf6rjGiDEG2JYYFQohDjo8EmZlRc4KaWf40Ymj0Su8l8IRua/r0q5DsNa8\ndUfe+TxsO72tXeeX6PXSTC0VgFGhofYO0SV4UmLU3t6ipsdxYsSY97IlMdpJRJ8Q0Ywm+6YxBxFC\nWBUK84axnROoDcQNGTdI7fYWYW8uK0NDH9Og4GCE+fjYMTrXMSosDA2DSbsrK1Fs2RPOHVklRjZs\nBwJwjRFjzMyWxCgEQDWAK8B7pTnF76d/R975PABAsDYYU9OmKhyR+5Mnl5/s/wTV+mqbz93gYduA\ntCRYo8HQkMZR8o2y4UN305EeI64xYowBtk3X573SnEy+dtGNGTciUBuoYDSeYXjCcCRHJAMAyuvK\nrfaea8tPHl54LSdP/Da48XBaexd3bHocJ0aMeS9bZqWlENEGIsq1tPsR0QLHh+adquqr8Mn+T6T2\nrIt4GM0eiMiqgN3W4bTTtbU4bNlx3k+lwvAQz553MNZDEqP2Lu4IcGLEGDOzZShtGYC/AdADgBBi\nL4DpjgzKm31x8AtU1JsLfftE9sGwbsMUjshz3Jp1KwjmbTw2ntiIP8v+bPMc+Wy0kaGh8FN79pIJ\nF4eEIEBlfls4VluLk5ak0N10ZChN5a8Cacz/PkSdgKnO5JDYGGOuzZbEKEAI8UeT1/jXKQeR92Tc\n3v92j9mPyxV0C+mGy3tfDgAQEPgw58M2z7EaRgsLc1hsrkKrUuFS2Z9zg5vWGXUkMSIi3kiWMWZT\nYlRMRL0B88QcIroeQIEtFyei8USUR0RHieiJFo4ZTUR7iGg/Ef1sc+Qe6GTZSWw6uQmAeTuLW7Nu\nVTgiz2O1plHOcmlJhOYIITx+YcfmyBNAdx1O60iNEcAF2Iwx2xKjBwAsAZBKRPkA/gfAfW2dRERq\nAG8AmAAgHcAMIkpvckwYgDdhXkAyA8C09oXvWT7Y07g375W9r0TX4K4KRuOZpqROQaiveR2i46XH\n8dtfv7V47KHqahRYpqyHaTQYEBzslBiV1rTOqCMLYiqtIzVGANcZMcZsm5V2XAgxDkA0gFQhxEgh\nxEkbrj0EwFHL+fUAPgZwTZNjbgLwhRDiL8u9zrUreg9iEiZ8kNOYGPFK147hp/HDjMwZUru1Imz5\nMNqYsDCovWRYMysoCJEac4JwTq9HblWVwhG1X3s3kG3uWN5IljHvZMusNF8iugnAwwAeIaJniOgZ\nG64dD+CUrH3a8ppcCoBwItpMRNlE1OzYERHdTUQ7iWhnUVGRDbd2P7/8+QtOlJ0AAIT7hWNyn8kK\nR+S55DP9Pt3/KSrrK5s9zhuH0QBARYTL3Hx2WkdqjJoey4s8MuadbBlK+wrmnh4DgCrZwx40AAYC\nuBrAlQCeJqKUpgcJIZYKIQYJIQZFR0fb6dauRd5zMSNzBvw0fgpG49kGdx2M9GjzqG6VvgqfHfjs\ngmMMJhM2e8H+aC2xGk5zwwLsjiZGXGPEGLMlMeomhLhRCPGyEOLVhocN5+UDSJBfx/Ka3GkA64UQ\nVUKIYgC/AMiyKXIPUlFXYfXhzGsXORYR4fas26V2c8Np2ZWV0BnNPQbxWi1S/P2dFZ5LkBdgby4r\nA9xsmQKr4msbtwQBuMaIMWZbYrSViPp24No7ACQTUU8i0sK89tHXTY75CsBIItIQUQCAoQC8bsPa\nTw98Km1RkRGdgYFxAxWOyPPdknUL1GT+sP/lz19wrOSY1febDqN527IJvf390cPXFwBQaTQCqakK\nR9Q+XHzNGOsoWxKjkQCyLdPu9xLRPiLa29ZJQggDgAcBrIc52fmvEGI/Ed1LRPdajjkI4HsAewH8\nAeAdIURuR/8w7qrphrHe9iGshC5BXTAheYLUXr5nudX3vWV/tJYQkXVd1YABygXTAVxjxBjrKFsS\nowkAktG4iexEy9c2CSG+E0KkCCF6CyFesLz2thDibdkx/xRCpAshMoUQi9v/R3BvR0uOSlPG1aTG\nzf1uVjgi79F0TSOjyfxBWGM0YotOJ33Pmwqv5az+3APdpxdTCME1RoyxDmsxMSKihk2hKlp4MDuQ\n91RclXwVYoNilQvGy0xMmYiogCgAwOny09hwYgMAYItOhzrL2j2pAQHoahlS8jZWiVF6OuDnHhMC\nTNUmwNLZo/JTQaW15fc/Mx5KY4y19o6xyvI1G8BOy9dsWZt1ktFktFq7SN6DwRxPq9bi5r6NPXQN\nQ5obvHg2mlysVovMwEBzw8cH6NuRUkPn62h9EcCJEWOslcRICDHR8rWnEKKX5WvDo5fzQvRcG09s\nxOny0wCAqIAoXJ1ytcIReZ87LrpDer7m4BqU1pR63f5orbH687tJnVFHh9GaHs81Rox5J1sWeNxg\ny2us/eRF1zP7zoRWrVUwGu/UN7avNAuwzliHd/d9guwK80ixCsBoL0+MxoWHY8ZPP+HE9OkwLlmC\nEwCwcqXSYbWqM4kR1xgxxlqrMfIjoggAUUQUTkQRlkciLlzBmrVTWW0Z1hxaI7V5GE058l6jt45u\nQ8POYIOCgxHm46NMUC7isnXrsOyVV5BYWAgVgEQAuPtul06OOrqBLGC95hEnRox5p9Z6jO6BuZ4o\nFdb1RV8BeN3xoXm2T3I/Qa2hFgDQv0t/ZHXxunUtXcaMzBnwVZsLrI+Lxh4ib52NJhfw9NMIrKuz\nfrG6GnjqKWUCsgHXGDHGOqO1GqN/A0gC8I8mNUZZQghOjDppec5y6Tn3Fikr3D8cU1KnWBqNdTSc\nGAH466/2ve4COjOUpvJTgXzM64iJOgFjLdcZMeZtWq0xEkIYAVznpFi8xsGig9h2ehsAwEflg5v6\n3qRwROyOi+4AfGOAgO4AAD+VCiNCQto4ywt0796+112AoUyWGLVjOxDAvLAlF2Az5t1sWeBjAxFN\nJV6O2W7kaxdN6jNJWkuHKWdsz7EIj7tcaqdq6uDnZvuDOcQLL0AEBFi9ZAoIAF54QaGA2taZHiOA\nC7AZ83a2JEb3APgUQD0RlRNRBRGVOzguj2UwGbBi7wqpzcNorkGtUiOue+OC7vXFWxWMxoXMnAla\nuhQnw8JgIsLJ2Fj88vLLwMyZSkfWos4UXzc9hxMjxrxPm+8aQohgZwTiLX449gMKKgsAALGBsRif\nNF7hiBgAmIRAgSYOMJoAAIeOrMTZynvQJaiLwpG5gJkz0XPtWuDeewEAN8XEYLSyEbWqM8XXACdG\njHk7W9YxIiK6mYietrQTiGiI40PzTO/ufld6fnO/m6FRtf83WmZ/eyorUWpJilBfAlPlUazIWdH6\nSd5k1y7p6YbSUgghWjlYWZ0dSuMaI8a8my1DaW8CGAagoUK4EsAbDovIgxVWFuLrvK+l9uyLZisY\nDZP7UbbaNUp3ARB4b897Lp0AONXRo4BlY91CvR77q6oUDqhlXGPEGOsMWxKjoUKIBwDUAoAQohQA\nL9HcAR/mfAiDyfxGOyJhBNKi0xSOiDX4saREeu5bkQsAOFR8CNvztysVkmsRAti9W2rK95NzNVxj\nxBjrDFsSIz0RqQHzgsBEFA3A5NCoPJAQAu/sfkdq3zngTgWjYXI1RiN+s/SGAMC1sQnS8/d3v9/c\nKd6pyXCaq+IaI8ZYZ9iSGL0GYA2AWCJ6AcBvAF50aFQe6Ne/fsXh84cBACG+IZiWPk3hiFiDX3U6\n1FmGzNICAvBg1nTpe6tzV6Oq3nWHjZxKlhhtLiuDweSavx9xjRFjrDPaTIyEECsBPA5zMnQGwBQh\nxKeODszTvLOrsbfopsybEKgNVDAaJievL7o8PBzDE4ajT2QfAEBFfQX+u/+/SoXmWvLzgbNnAQAV\nRiN2WDbbdSVCCK4xYox1ii09RgAQAEBtOd7fceF4prLaMnx6oDGX5GE01yKvL7o8PBxEhLsG3CW9\ntnTXUiXCck3yOiMXHE4zVZsASyePyk8FldbWt7hGvJEsY97Nlun6zwD4AEAEgCgA7xPRAkcH5klW\n7VtltWHsgLgBbZzBnKWwvh45lhlWGiKMCjNvIntb/9ugVZvnGGw7vQ17C/cqFqNLkQ2n/eSCiZFV\nb1E7twORzuMaI8a8mi2/Ts0EMFgI8awQYiGAiwHc4tiwPIcQAst2LZPadw24C7y7iuuQ93oMCwlB\nsMb8oRgVEIXr0hq3CVyWveyCc71Sdrb0dGt5OSoNrpU4dLbwGuAaI8a8nS2J0RkAfrK2L4B8x4Tj\neXYV7MKes3sAAH4aP94w1sU0rS+Su3vA3dLzFXtXoFpf7bS4XFZpKfoFmuvj9EJgk4tN27faQLYD\n9UVNz5NfjzHmHWxJjHQA9hPRciJ6H0AugDIieo2IXnNseO5PXnQ9LX0awvzCFIyGyQkhLqgvkhud\nOBpJEUkAAF2dDp/u5zkHADA+IkJ6vl7283MFnS28Brj4mjFvZ0titAbAkwA2AdgM4CkAXwHItjxY\nC6rqq7Aqd5XUlhf0MuUdqq5Gfn09ACBUrcagYOttAZsWYcuHRL3ZlbLE6HsXS4w6u7hj0/MMOgOv\nfs6Yl7FlE9kPnBGIJ/r0wKcorysHAKREpmBk95EKR8Tk5MNol4WHQ6O68PeE2/vfjgUbF0Bv0mPL\nqS3Yf24/MmIynBmmyxkRGopAlQpVJhOO1dbiaHU1kgIClA4LAKAv1UvPNeEd7DHyV4N8CaJOQNQL\nmGpMUAd0rF6JMeZ+2j+XldlsaXbjNO87L7qTi65dTGv1RQ1iAmMwJXWK1OZeI8BXpcIY2c9rvQvN\nTjOUyobSOpgYAYBPuE+z12SMeT5OjBxkd8Fu/H76dwCAj8oHt/W/TeGImFydyYTNssLhlhIjALh7\nYGMR9oc5H6JGX+PQ2NzBlfLEyIWG06yKrzs4Xb/puVyAzZh3sTkxIiLX6Ct3E2/tfEt6Pi1jGmIC\nYxSMhjX1m06HSqO5HqWXnx96+7e8bullPS9Dz7CeAIDS2lJ8fvBzp8ToyuQF2BtLS1HvItuD2KvH\nSH6ufHiOMeb5bFngcTgRHQBwyNLOIqI3HR6ZGyurLcPKfSul9v2D7lcwGtac786fl55fFRnZ6jCn\nilTWK2Fn80rYSQEB6OVnXsWjymTCFtkmvEqSJ0by4bD2kidGPJTGmHexpcfoXwCuBHAeAIQQOQAu\ndWRQ7u7DnA+lNW/6xfbD8IThCkfEmlonG/65Stb70ZJZF82CRmX+sPz1r19xoOiAw2JzF644bd8e\nxddNz+XEiDHvYtNQmhDiVJOXeDnYFggh8OaOxg61+wfdz0XXLuZETQ0OVpsTVz+VCqPD2l5bqktQ\nF1zT5xqpLf879lauOG2fi68ZY51lS2J0ioiGAxBE5ENEjwI4aMvFiWg8EeUR0VEieqKV4wYTkYGI\nrrcxbpe16eQm5J3PAwAEa4Mxs99MhSNiTcl7i8aEhcFfbdtU7PsHNw6JfpjzISrqXG93eWcaExYG\njSXpz6mqQkFdncIRNUmM7FR8zTVGjHkXWxKjewE8ACAe5q1A+lvarSIiNYA3AEwAkA5gBhGlt3Dc\nSwB+sD1s1yXvSbgt6zYEaYMUjIY1p73DaA3GJI5BWlQaAKCivgIr9q6we2zuJFijwcjQUKntCr1G\nVrPS7DWUxrPSGPMqbSZGQohiIcRMIUSsECJGCHGzEOJ8W+cBGALgqBDiuBCiHsDHAK5p5riHAHwO\n4Fy7IndB+eX5+PLQl1L7vsH3KRgNa06t0Wi1ceyEyEibzyUiq16jN3a84fWrIk+QJZbfnrflbcFx\nhEnYb7o+1xgx5rVaTIyI6D8N+6E197Dh2vEA5LVJpy2vye8RD+BaAG/BAyzbtQxGYS6/Gp04GunR\nF3SQMYX9rNOhxjK1PMXfv9Vp+s25NetWqRfwQNEB/Pznz3aP0Z1MkiWW6xWetm8oNwCWPFUdrIZK\n0/Fl2jgxYsx7tfbOsRPmvdD8AAwAcMTy6A9Aa6f7LwYwXwjR6rspEd1NRDuJaGdRUZGdbm1feqPe\nalXk+wZxb5ErWtdkmn57hfiG4JZ+t0jtN3a8YZe43FWqbNp+pdGIX2SLZjqbvQqvAS6+ZsybtZgY\nCSE+sOyT1g/AaCHEf4QQ/wEwFubkqC35ABJk7W6W1+QGAfiYiE4CuB7Am0Q0pckxEEIsFUIMEkIM\nio6OtuHWzvd13tc4U3EGgHkGk3wbCeY6vpPVwUxoR32R3AODG0vs1hxcg9Plpzsdl7siIkyUJZjf\nKDicZs/EiBd4ZMx72dLXHA4gRNYOsrzWlh0AkomoJxFpAUwH8LX8ACFETyFEohAiEcBnAO4XQnx5\n4aVcn7zn4K4Bd0GrtlenGrOXo9XVOFJj3s4jQKXCpbLC4fbIiMnAqB6jAABGYcSSnUvsFqM7kidG\na8+fV6zuyl4z0pqezz1GjHkXWxKj/wOwm4iWE9EHAHYBeLGtk4QQBgAPAlgP8/T+/woh9hPRvUR0\nb2eCdjU5Z3Ow6eQmAICa1FarJDPX8a2st+iy8HD42ThNvzkPDnlQer4kewlqDbWdis2djQoLQ5Dl\nZ3m8thaHLGtEOZu88Lozq14DPCuNMW9my6y09wEMBbAGwBcAhlmG2NokhPhOCJEihOgthHjB8trb\nQoi3mzn2diHEZ+0L3zUs3r5Yej41fSoSQhNaOZop5cviYun5pA7UF8lNSZ2C7qHdAQBF1UVYuXdl\nG2d4Lq1KZbWprFLDafZa9RoA1EFqwJI3m6pNMNW7xl5wjDHHs3Xl67NCiK8sj7OODsqdFFYWYtW+\nVVL7kYsfUTAa1pISvR6/ygqDO5sYaVQaPDTkIam9ePtir5667wp1RvasMSIiLsBmzEt1fD4rAwC8\ntfMt1BvrAQBD44fi4m4XKxwRa863589L+9gMDQ5GnK9vp69554A7EegTCADIPZeLDSc2dPqa7uqq\nyEg0bHyzRadDid75Bcv2TIyaXoMLsBnzHpwYdUKtodZqpWvuLXJdX8mG0aZERdnlmmF+YZjVf5bU\n/te2f9nluu4oRqvF0BDzHA0jlNlU1p7F102vwT1GjHmPNhMjIure3MMZwbm61ftWo6javK5SQkgC\npqZPVTgi1pxao9Fqu4pr7JQYAcCcoXNAlr6S7458h7ziPLtd2900nZ3mbPJenc4WXwO8yCNj3sqW\nHqNvAXxj+boBwHEA6xwZlDsQQlj1EDw45EFoVJ3/LZXZ34ayMlRZVmRO9vdHakCA3a6dHJmMiSkT\npfa/t//bbtd2N/LE6Nvz51Hn5FWwHTmUxokRY97DlllpfYUQ/Sxfk2HeA+13x4fm2jac2IB95/YB\nAAJ8AniKvguTD6NdExUFImrl6PaTD6Eu37Mc56uV3TNMKf0CA9HTsgp2eZM96ZzBXhvINrAqvuYp\n+4x5jXbXGAkhdsE8fd+rvbTlJen5rP6zEO5vy5qXzNlMQlgN69irvkhudOJo9O9iXgy+xlCD1/94\n3e73cAdEhKmylem/cPL2PVx8zRizB1tqjObKHo8S0SoAZ5wQm8vKPpONn47/BMC8oOO8YfMUjoi1\n5I/ycpytN88ajPbxwcUhIW2c0X5EhMeHPy61X/vjNVTVV9n9Pu5gqizx/LK4GAYnDqfJEyOuMWKM\ndZQtPUbBsocvzLVG1zgyKFcn7y26IeMG9AzvqWA0rDVfyXqLJkVGQm3nYbQG0zKmoWeY+d9BSU0J\n3t39rkPu4+qGhISgq9a8Hc55gwG/6HROua8QwnqBR56VxhjrIFtqjP4ue7wghFgphPDa/Q+OnD+C\nzw40LtA9f8R8BaNhrRFCYI1sOMees9Ga0qg0eHT4o1L7la2vQG/0vuEXFRGukw2nfe6k4TRjpREN\nC1Wp/FVQ+XZ+JRLuMWLMO9kylBZNRP8kou+IaGPDwxnBuaJ/bv0nBMwrHE9ImoCsLlkKR8Rasreq\nCnmWTWOD1GpcHu7YOrBZ/WchOsCcFJwqP4XVuasdej9XJR9OW1NcDJMTVgTXF8um6kd1fhit6XXk\n12eMeTZbfq1aCeAQgJ4A/g7gJIAdDozJZRVUFOCDnMZt4ri3yLV9cu6c9HxyZCT8O7FprC38ffzx\n8NCHpfbLW16GSXjfHlsjQ0MR5WNOKgrq6/F7ebnD78mJEWPMXmxJjCKFEO8C0AshfhZC3AHgMgfH\n5ZIWb1ssbf9xcbeLcWmPSxWOiLVECGGVGN0YE+OU+94/+H4EaYMAAPuL9uObw9845b6uRKNSWc3+\nczlISW8AACAASURBVMZwmr5IlhhF2ycx0kZrpef1RfV2uSZjzPXZkhg1vOMUENHVRHQRgAgHxuSS\niquL8caON6T2/BHz7b4eDrOf7IoKHK81l8KFqNW4MsI5/2TD/cNxz8B7pPbzvzzvlZvLyofTvigq\ncvjPwBGJkSZSVmNUYoAwet/fI2PeyJbE6B9EFApgHoBHAbwDwOs2BXt166uo0punYGfGZGJyn8kK\nR8Ra84msl2JKVBR8Vc7bFnDesHnw05gXOtx5Zie+O/Kd0+7tKi4LD0eoZejyz7o67KyocOj9HDGU\nptKoGguwBaAv4eE0xrxBq58WRKQGkCyE0AkhcoUQY4QQA4UQXzspPpdQXF2M//zxH6m9cNRCqIj3\n33VVQgj8V4FhtAZxwXFWvUbP/vys1/UaaVUqq1mAq2R/H44gH+qSD4F1lrz3Sd4rxRjzXK1+ugsh\njABmOCkWl9W0t+i6tOsUjoi1Zlt5Of6qqwMAhGs0GOfg2WjNmT9ivtf3Gs2MjZWery4sdOhij1ZD\naXbqMWp6LU6MGPMOtnR7bCGi14noEiIa0PBweGQugnuL3I+86Pq6qChonTiM1oB7jYDLwsIQa5md\nVqjXY2NZmcPuZTWUZqcao6bX4plpjHkHWz4x+gPIAPAcgFctj1ccGZQr4d4i92ISAp/K6oucPYwm\n5+29RhqVCjNkvUYfFRY67F6OKL4GeGYaY97IlpWvxzTz8Irp+kVVRdxb5GZ+1elwRrY32piwMMVi\nadprtHDzQq/rNbpZlhitKS5GldHokPvwUBpjzF7au4lsw2M2EfV3RoBKeuHXF7i3yM28X1AgPb8+\nOhoaBYbR5OS9RtkF2fj84OeKxuNsA4KC0MffHwBQaTTi6+Jih9yHh9IYY/Ziy6fGIAD3Aoi3PO4B\nMB7AMiJ6vLUT3dmJ0hN4c8ebUvuFy17g3iIXV2EwWA2j3d6li4LRmMUFx+GhIQ9J7Sc3POlVe6gR\nkVWv0UoHDKeZ9CYYyix7makAn3AHJUbcY8SYV7Dlk74bgAFCiHlCiHkABgKIAXApgNsdGJuint70\nNPQm8xvhiIQRmJQySeGIWFs+LSpCtWXmU3pAAAYHBysckdkTI59AmJ95SO9IyRG8u/tdhSNyrptk\nidH3JSUoqrdvrY5Vb1GED0htv4VXeSiNMe9jS2IUA6BO1tYDiBVC1DR53WPsLtiNlftWSu2Xxr3E\nq1y7gffPnpWe3xEX5zJ/ZxH+EfjbyL9J7Wc3P4vK+koFI3KuXv7+GB4SAgAwAvivnbcIcdQwWtPr\n8VAaY97B1k1ktxPRQiJaCGALgFVEFAjggEOjU8gTG56Qnl/T5xqM6D5CwWiYLY5UV+M3nQ4AoIZ1\n0a8reGjIQ4gPjgcAFFYV4l+//0vhiJxL/vchrwOzB0fNSAN4Vhpj3siWWWnPA7gbQJnlca8Q4jkh\nRJUQYqajA3S2Dcc34IdjPwAAVKTCi2NfVDgiZovlst6iqyMjEau13+rH9uDv44/nxjwntV/e+jLO\nVTl2NWhXcmNMDHwtPXjZlZXItuMWIY6akdb0evoivdfNKmTMG9lUTSyE2CmE+LflsdPRQSnFYDJg\n7g9zpfas/rOQHp2uYETMFkYh8IEsMZrlAkXXzbk161bp31NlfSWe2fSMwhE5T4SPD6bJ1pRacuaM\n3a7tyKE0daAaKn/z26SoFzBWOma5AcaY6+BpVjJLs5dib+FeAECATwD+PvrvCkfEbPFTaSnyZWsX\nXR0ZqXBEzdOoNHhp3EtSe2n2Uuwu2K1gRM51b9eu0vNVhYUoNxjscl1H7ZPWgGemMeZdODGyKK4u\nxoKNC6T2U5c8hfiQeAUjYrZ6T1azcnNsLHwUXruoNVcnX40JSRMAAAICD617yGuGZ4aHhCAjIAAA\nUGUy2W3qviOH0ppekxMjxjyf636CONnTG59GaW0pAKBXeC/MHTa3jTOYK8ivq8MXskUDXXUYrQER\nYfH4xfBRmT9st5zaglX7VikclXMQEe6R9RotOXPGLkmhI4fSml6TZ6Yx5vk4MYJ5ev6S7CVSe/GV\ni6XViplreys/HwbLh+uo0FD0DQpSOKK2pUSm4JGLH5Haj/34GCrq7FeM7MpuiY2Fv6VHL6eqCn/Y\noQjbmT1GPDONMc/n0MSIiMYTUR4RHSWiJ5r5/kwi2ktE+4hoKxFlOTKe5ghhGc6A+cN1fNJ4TEyZ\n6OwwWAfUGo1YIhtGm9Otm4LRtM+CSxcgLigOAFBQWYB//PIPhSNyjjAfH6uNfd+2QxF2/dnGZMUn\nxv6JkTZWNmX/LCdGjHk6hyVGRKQG8AaACQDSAcwgoqZTvE4AGCWE6AvgeQBLHRVPS97Z9Q62nNoC\nAPBR+WDxlYtdZmFA1rqPz51Dsd7cW9Dd1xeTXbToujnBvsF4+fKXpfaibYukwn9Pd09cnPT8k3Pn\nUKLv3PBUXX7jOrO+3Xw7da3m+MY3XrM+nxMjxjydI3uMhgA4KoQ4LoSoB/AxgGvkBwghtgohSi3N\nbTBvP+I0ZyrO4LEfH5Pa84bNQ5+oPs4MgXWQEAKv5edL7Qfi4xXfMLa9ZvadiUu6XwLAvFTE7K9n\nw2Cyz0wtVzY0JARZgYEAgBqTqVO9RoZyA4zl5in05EvwibR/j5E82ao77ZGL/TPGZBz5SRIP4JSs\nfdryWktmA1jX3DeI6G4i2klEO4vstJ2AEAIPfPcAdHXm1ZKTI5LxzCjvWVfG3W3R6bC70rythr9K\nhTtlvRDugoiwbNIy+KrNH7w7z+zE4m2LFY7K8YgIcxMSpPZrp0+j1tix9YGa9hY5oreXEyPGvItL\n/IpNRGNgTozmN/d9IcRSIcQgIcSg6Ohou9zz84Of48tDX0rtZZOWwd/H3y7XZo4n7y26OTYWET72\n7ylwhj5RfawS8mc2PYNjJccUjMg5psfEoJuvOeEo1OuxooNT960So3j7D6MBTRKjfE6MGPN0jkyM\n8gEkyNrdLK9ZIaJ+AN4BcI0Q4rwD45GU1JTgwe8elNp3D7gboxJHOePWzA7+rK3FF7Kewznx7r3e\n1GPDH0NWrHneQY2hBnd/c7fHr22kVanwiKxY/pVTp2DswJ9Z3oPjiPoiANDGaQFLR1T92XqY9CaH\n3Icx5hocmRjtAJBMRD2JSAtgOoCv5QcQUXcAXwC4RQhx2IGxWJmzbg4Kq8y/oXYN7mpVBMtc3yun\nTqFh4OWysDBkusEU/db4qH3wzuR3oCLzf8eNJzbirZ1vKRyV490VF4dQtRoAcLimBl/L1qOylTMS\nI5WPqnFmmgDqC7gAmzFP5rDESAhhAPAg/r+9e4+PqjoXPv57ZpJMSEIIEBIgJAQiCBIsIAUrLUdq\nsYJVtJ63RbHeatFTL21Pa22t9ajU01qLPb71RVFERVGr7VGpVVsrVSwoBDCgXEUCQrgq5H6fWe8f\ne2WyEyY3zGQmk+frZ8zea/be88yafJgna629FvwN2AY8b4zZIiLXi8j19rA7gIHAIhEpFJGwr8O2\nfPNyln+wPLi/aPYi+iX2C/fLqi5yuK6OJa5b9G/NyYlgNF1n8tDJ/PhLPw7u//jvP2br0a0RjCj8\n+sbF8X1Xa9+9n3zS6ZYy911i4epKA+1OU6o3CesYI2PMq8aY0caYPGPMPbbsYWPMw3b7WmNMf2PM\nBPuYHM54io4X8R9//Y/g/jUTrmHOmDltnKGize/37aMm4HRlTO7bl5n9+0c4oq5z94y7GZ8xHoCa\nhhou+/Nl1DbE9pfwzVlZJNgB02vLy/lXaWmnzu+OFiOAhKymuYx0ALZSsS0qBl93h4ZAA5e/eDnl\ndc5Mu6cMOIUHZj0Q4ahUZ3xaV8f/c93afVtOTkzNOZUYl8gzlzwTvEtt0+FN/GLlLyIcVXgN9vm4\n0rWMy4K9ezt1fnclRnpnmlK9R69JjO5ZdQ9r9q0BnFXOl39zOSkJPXtsSm/z2337qLC3dY9LSmJO\nenqEI+p6+Rn53DfzvuD+wncX8sbHb0QwovC7JTs7+A/RG8ePs6qkpMPndsddaaBdaUr1Jr0iMVqz\nbw13r7o7uH/X2XcxJWtKBCNSnXWwtpYHXbfo3z1iBJ4Yai1yu3HKjcweNTu4P+9/57GvdF8bZ/Rs\no5KSmrUa3V5U1KGxRv4af9M6aV5IGJzQ9gmfg7YYKdV79IrEqLq+mvQkp3Vh+vDp3Dot5HRJKor9\nau9equ3YookpKVwcg61FjUSEpRcuJSPZWVPsaNVRLnn+EmoaaiIcWfjcMXw48TbRfae0lNePHWv3\nnLoDroHXQ3yIN3yJsrs1ShMjpWJbr0iMzhl5Dpuv38zc/Lk8dfFTeD3eSIekOmF7ZSWLXWOLFowY\nEVNji0LJTMnkhf/zAnGeOAAKDhRww19viNn5jXL79Gk2e/ktH39MQ6Dt+YLcXVruwdHh4G4x0vXS\nlIptvSIxAueL5tlLniWnX2zc3t2b/HT37uC8RTPS0pg9YEBE4+ku04dPZ+G5C4P7SwuXsnjD4ghG\nFF53DB9Oip3XaEtVFUsPHWrz+O4aeA0tWoyKazGB2ExQlVK9KDFSPdObx4/zl8+cCdEFWJiXF/Ot\nRW43TbmJ75z+neD+za/dzMqilRGMKHwG+3zc6lpD7ZdFRZQ2tL6obncmRt4kL3EDnNY7U2+axjYp\npWKOJkYqatUFAtyws2lC9CsyM5nYt28EI+p+IsLibyxm4uCJANQH6rn4jxez+fDmCEcWHv+ZnR1c\nQ+1IfT13FBW1emzN7qYxV4nZiWGPLTGn6TWqd1eH/fWUUpGhiZGKWgv37WNHtfMFlOr18uuRIyMc\nUWT0ie/Dy3NfZmjfoQCU1ZYxa/ksPin9JMKRdb0kr5ff5eUF9x8sLqawvDzksVXbq5rOG5MU9tj6\nnNq0yLT7tZVSsUUTIxWVdlVVNZvsb8GIEQzxhbe7JJpl98vmtXmvkepLBeBA+QHOe/o8jlW3f/dW\nT/OtQYP4mp3RPADM37kz5EDs7k6M3K+hiZFSsUsTIxV1Asbw3R07grfnfyE5me8PHRrhqCLv9MzT\neenbLxHviQdg26fbOO/p8yip6fiEiD2BiPDgqFHBpUIKysv5/f79zY6pL6mn7pBzd5j4hMTc8Hel\naWKkVO+giZGKOouKi1ll18zyAkvHjCHOo7+qADNGzGDZxcuC+wUHCpj51EyOVx+PYFRd79SkJO7I\nzQ3u/7KoiO2VlcH9Zq1Fo5PCOodR8HXcidE2TYyUilX6baOiypbKSm7ZvTu4f2tODpN62YDr9szN\nn8vD5z8c3F9/YH1MJkc/zc5mYoqzbE+tMVy2bRu1thWxu7vRwEnAsPlX9e5qArVtz7OklOqZNDFS\nUaPG7+fSrVupsV9++cnJzVoNVJPrJl/H4m80zWm04eAGzll2Docq2p77pyeJ93h4YsyYYJfa+xUV\n3GaT5kgkRt4kL4nDbZedH6o/1jvTlIpFmhipqHHzrl18YLtLEj0enjvtNHzahdaq+WfM59ELHg3u\nv3/ofc5ccibbjm6LYFRd6/SUFH7rukvt/v37eeno0YgkRi1fS8cZKRWb9FtHRYXFBw7w6MGDwf37\n8/IYl5wcwYh6hmsnXcvSC5fiFWfG6L2lezlr6Vm8veftCEfWdW7OyuJ812znV2zfTsnWpvFGmhgp\npbqSJkYq4t46fpybPvoouD8vI4Pr9S60Drt64tWsuHQFyfFOIllSU8LMp2ayZOOSmFhbTUR4cuxY\nRiQ63VjVNX7qXJM7Jp0aocRIB2ArFZM0MVIRtaWykos+/JB6+wU+MSWFR049tVct+9EVZo+azaqr\nVzE4ZTDgzJD9vb98j6tevorKusp2zo5+A+PjeTE/nz4eD0MPgNcunpeQ48Ob3H2LQrsTo8ptPb9e\nlVIn0sRIRczu6mrO27yZUr/zLTckIYGX8vNJ8nbfF10smTRkEmuvXcv4jPHBsmWbljF1ydSYGHf0\nhZQUnho7lrGut7IjO0BdiMkfwyXpNFdi9EEl/mp/G0crpXoiTYxUROytqeGrhYXsr3UWAk3xenl1\n/HhyEsM/UV8sy+mXw3vXvsdVE64Klm05uoVJj0xi4ZqF+AM9+4v8kkGD+F5R0/QNb46pZ+7WrdR3\nU3KUMCghuDSIqTOUrS3rltdVSnUfTYxUt9teWcmX33+fvTYpSvR4eCk/nwk6X1GXSIpP4vE5j/PY\nhY+RGOckmjUNNfzkjZ8wbek0th7dGuEIP5+sDU0r22/6Arz46adc/OGHVPm7J+lL+7e04Hbp26Xd\n8ppKqe6jiZHqVmtKS/mKq6UoQYQXx43jHLs2luo610y8hrXXrmXC4AnBsrXFa5m4eCI/+8fPKKvt\nea0dtcW11HzsDLz2Jwrbxzjlfz12jHM3beJoXV3YY3AnRiVvx9ZyLEopTYxUN3ri4EFmFBbyab3z\nF3+yx8Mr48dz3sCBEY4sdp2eeTrrrl3HghkLgmus1fnruHf1vYz6wyge2fBIj+pecyciA8/qx0/z\ncoL7q8vKmLJxI5srKsIagzsxKnu3TGfAVirGaGKkwq7S7+ea7du5escO6uzdZ+nx8bw5YQIzXfPT\nqPCI98Zz+/Tb2XjdRs4cdmaw/EjlEa575TrGLRrHsk3LqPfXt3GV6OBOjNL+LY17Ro7k/ry8xpU6\n2FNTw9SNG3n0wIGwTVXgy/KRmOd0UQZqApQV9LyWN6VU6zQxUmH1TkkJE9av5/FDTUtV5CcnUzBp\nElNTUyMYWe+Tn5HP6mtWs/yby8lOzQ6W7/hsB1e+dCWjHxzNQwUPRe3t/cYYSt5qSoz6Te8HwI+y\ns3k5P58UezdjTSDA/J07Of+DD9hdHZ5lO9Kmu7rT3tLuNKViiSZGKiwO19Xx3e3bmV5YyC7Xl9O8\njAzWTJxIbp8+EYyu9/KIh8vGX8b2G7ezYMYCUn1Nyemekj18/9XvM/T+odz06k1RN0i7vKCc6p3O\n75In0UPq1KbYL0hPZ92kSeS7Zkt/7dgxxhUU8Ou9e7v8lv60rzYlRoefOhwTE2kqpRyaGKkudaSu\njp/v3s2otWtZ6molSvV6efzUU3lq7Fj6xsVFMEIFzp1rt0+/nb0/3MuvZvyKgX2axnmV1ZbxYMGD\njFs0jqlLpvLqnZdTJOAHigCWL49IzMWLioPbGXMz8PZpPt/V2ORk1k6axI1ZWcGutZpAgNuKijht\n3TqWHjzYZQlS+kXpePs6r1+9s5qSldpqpFSskJ72l87kyZPN+vXrIx2GauHj6moeLC5m8YEDVLf4\n8rlg4EAWjRrFMJ2jKGpV1FXw2MbHWLR+ETs/2xksv3QzPPoXSHYNPwr0SUQeXYLMm9dt8dV/Vs+a\nrDWYWuffq0nrJpH6xda7YteVlXHdzp0UthiInePzcUt2Nt8ZPJh+nzNB/+imjyh+0EnW0i9JJ/9P\n+Z/reuEmIhuMMZMjHYdS0U4TI3XSShsa+NPRozxx6BD/Kj1xPpfTkpL4XV4es/Susx7DGMPKopU8\ntP4hVuxYwc6F9eSGmKpnf38vty75NmcNO4tpOdMYnzEeryd8M5bv/fVeim4rAiDljBQmr2//+70h\nEOAPxcUs2LuX4w0NzZ5L9Hi4OD2dKwcP5py0NOI8nW88r9xaScG4AmfHC1N3TaVPbvR2EWtipFTH\naGKkOsxvDB9WVvL6sWO8fuwY/yotpSHE78/ElBRuHz6ci9LT8eiaZz3Wsepj9E8eiIT4JyIAeO9s\n2k9JSOHMYWcyafAkxmWMIz8jn7HpY+kT//kThYpNFWyYuiHYWnTqklMZ8t0hHT6/rKGBRcXFLNy/\nPzhVhFtaXBwz+/dn1oABzOzfv1Mtm4UzCoODr1PPSmXCWxPwxEfnCAVNjJTqmLAmRiJyHvAA4AWW\nGGN+0+J5sc/PBqqAq4wxG9u6piZG3aPK72dnVRXbq6oorKhgXXk568vLKW9ldmEvMGvgQK4fOpTZ\nAwboIrCxIjcX9u49oXhPPxjxo7ZP9YiHvP55jB44mty0XHLTchmRNoLctFyy+2UzsM/AdluZag/U\nUjijMDjoOnl8MmcUnIHHdxItPH4/Sw8eZOmhQyd0sbllJSQwJTWVKX37kp+czJikJHITE0O2KpWu\nKeX96e87A7CArBuzOOV/TkG80ff7r4mRUh0TtsRIRLzATmAmsB8oAC41xmx1HTMbuAknMZoKPGCM\nmdrWdTUxOjnGGMr9fkobGpyH3T7e0MCB2lqKa2sprqujuLaWfbW1wZmp2zMxJYXLMzOZl5lJZkJC\nmN+F6nbLl8PVV4OrpcXEx7P7/l/yyuRUVu9bzep9qzlQfqDTlxaE9KR0MpIzyEjOIDMlk4ykDPr3\n6U9aVRpDVg1h0MOD8JTahCQJBq8czID8Afi8PnxxPnxe30kl4ZsqKnjy0CGeP3KE4g7Mlp0gwvDE\nRIb5fGT5fGQlJJDl8zE4IYEBDx7Du8B1o8G0VHLvyCVtRlpUtR5pYqRUx4Tz9qApwC5jzG4AEXkO\nmAO47wGeAywzTnb2noikicgQY8zBrgyk5HgNf7phc3C/ZSp4wn5jsthKztje+bRINk+8fujrtvb8\niYeb4P8DAYMfCBjXT2MI4HR9NZbXB9p+0ThguH20JUk8DElIYFiij2EJPvp4PUAlx9nN8VbfUDsX\njZLzTuqPhB7w3k76jx8DqUXFDPU3v33V+MH3jI+Z785kJjMBqKyr5LPqzyipKaG0upSS2hIqajs3\nA3W8P56U6hSGlAwhsyQTj+tVAwS4Z9Y9rHx9Jbze4jxPfDBJ8sX5SPAmBLfjPfF4xIPX48Ur3hO2\n8z1eRsZn8GliHkd9Izgen4nfc2KCX2cMH1VX81GIeZHkbFjwJkxb4+yXrS5j89c3U+MzHMgylKYZ\nahMD1PYJ0JBggAAewIitZJvXiWnaRgziPIvYD13s8RNuzmbO1yZ1qm6VUh0XzsQoC9jn2t+P0yrU\n3jFZQJcmRlVVfk55tqorL9mLBYAaoIZSQJfQjG0juR8PzcfleAL1pL97P7vendKsPJFEBtv/utKh\nfoe496J7KRxRGPL5+kA99XX1VNAVS4F4IHk49B0LKaMgKQeSssE3qNUzjAf+6y6YtxyuWAZee1Nm\nYq0wcndjptN1A9M/nPUZfK3LLqeUaqFHTCgjIvOB+QA5OTntHB3i/K4OSKlewseRTpV3FeMxHB19\nlJ1Td1IwrYBkbzLja8dTXldOeW05tf5aahtqqQ909TImAagsch5u3iTwZTgJki8dEtKd7fh+EN8X\nvzeFZd9KYdVZ/Zj99z585R1h8OEuDs3S4XtKhVc4E6NiINu1P8yWdfYYjDGPAI+AM8aos4Gk9ovn\n4D3OX3wt/02RFiUnPN9iiIC0PM7+K3XidUM/f8Jx0nK/neu59kWEOMDr8RAnECce4kTwBrex+4JP\nPHg9LV+Mk3MS5530YOxujPFkz4vl9xb4YRbez/afWD4wi7EPjO3S15J4Ia5/HL4hzlpk3sT2W1kC\nJkC9vz6YKLX86Td+/AE/fuMnYAJtbgdMIHh84zY074o0jd3YIctqYHAN5gwo+7mhpMSL7IvHlHsx\nVR6oFkydh4aA0zkWcE7G4HSfm8ZtxCkP7jdtA3x1ymmdr1ylVIeFMzEqAEaJyAicZGcucFmLY1YA\nN9rxR1OB0q4eXwSQnJLApbeN6+rLKhX75Dcwfz5Uubqik5LwPvAbMudlRi4uyyMeZ3xRnA98kY5G\nKRULwpYYGWMaRORG4G84HexLjTFbROR6+/zDwKs4d6Ttwrld/+pwxaOUOgmNs1v/4hfwySeQkwP3\n3NNUrpRSMUYneFRKqV5Ab9dXqmOiZ5INpZRSSqkI08RIKaWUUsrSxEgppZRSytLESCmllFLK0sRI\nKaWUUsrqcXelichR4MTlvjsmHfi0C8MJt54Ur8YaHj0pVuhZ8fa2WIcbY1pf20QpBfTAxOjzEJH1\nPel21Z4Ur8YaHj0pVuhZ8WqsSqlQtCtNKaWUUsrSxEgppZRSyuptidEjkQ6gk3pSvBprePSkWKFn\nxauxKqVO0KvGGCmllFJKtaW3tRgppZRSSrWq1yRGInKeiOwQkV0i8rNIx+MmItki8k8R2SoiW0Tk\nB7b8ThEpFpFC+5gd6VgBRGSPiHxgY1pvywaIyBsi8pH92T/ScQKIyKmu+isUkTIR+WG01K2ILBWR\nIyLyoaus1boUkZ/b3+EdIvL1KIj1PhHZLiKbReRFEUmz5bkiUu2q34ejINZWP/NI1msb8f7RFese\nESm05RGtW6ViXa/oShMRL7ATmAnsBwqAS40xWyMamCUiQ4AhxpiNItIX2ABcBHwLqDDG/C6iAbYg\nInuAycaYT11lvwWOGWN+YxPP/saYWyMVYyj296AYmApcTRTUrYhMByqAZcaYfFsWsi5F5DTgWWAK\nMBT4BzDaGOOPYKznAiuNMQ0ici+AjTUXeKXxuO7WSqx3EuIzj3S9thZvi+cXAqXGmLsjXbdKxbre\n0mI0BdhljNltjKkDngPmRDimIGPMQWPMRrtdDmwDsiIbVafNAZ6020/iJHbR5hzgY2PMyU4Q2uWM\nMauAYy2KW6vLOcBzxphaY0wRsAvnd7tbhIrVGPN3Y0yD3X0PGNZd8bSllXptTUTrFdqOV0QE54+k\nZ7szJqV6q96SGGUB+1z7+4nSxMP+NTgRWGuLbrLdFEujpXsKMMA/RGSDiMy3ZZnGmIN2+xCQGZnQ\n2jSX5l8u0Vi30HpdRvvv8TXAa679Ebar520R+Uqkgmoh1Gce7fX6FeCwMeYjV1k01q1SMaG3JEY9\ngoikAH8GfmiMKQMeAkYCE4CDwMIIhuf2ZWPMBGAWcIPtBggyTv9sVPXRikgCcCHwgi2K1rptJhrr\nMhQR+QXQACy3RQeBHPt78p/AMyKSGqn4rB7xmYdwKc0T+misW6ViRm9JjIqBbNf+MFsWNUQkHicp\nWm6M+V8AY8xhY4zfGBMAHqWbm/dbY4wptj+PAC/ixHXYjpVqHDN1JHIRhjQL2GiMOQzRW7dWejMO\nqQAABzVJREFUa3UZlb/HInIV8A1gnk3ksN1Sn9ntDcDHwOiIBUmbn3lU1iuAiMQB3wT+2FgWjXWr\nVCzpLYlRATBKREbYloO5wIoIxxRkxxA8BmwzxtzvKh/iOuxi4MOW53Y3EUm2A8QRkWTgXJy4VgBX\n2sOuBF6OTIStavZXdzTWrUtrdbkCmCsiPhEZAYwC1kUgviAROQ/4KXChMabKVT7IDnZHREbixLo7\nMlEGY2rtM4+6enX5GrDdGLO/sSAa61apWBIX6QC6g71j5kbgb4AXWGqM2RLhsNymAd8BPmi8JRe4\nDbhURCbgdKXsAa6LTHjNZAIvOrkcccAzxpjXRaQAeF5EvgvsxRksGhVsAjeT5vX322ioWxF5Fjgb\nSBeR/cB/Ab8hRF0aY7aIyPPAVpxuqxu6+c6pULH+HPABb9jfifeMMdcD04G7RaQeCADXG2M6Ohg6\nXLGeHeozj3S9thavMeYxThwXBxGuW6ViXa+4XV8ppZRSqiN6S1eaUkoppVS7NDFSSimllLI0MVJK\nKaWUsjQxUkoppZSyNDFSSimllLI0MVIhicg/W64yLs6q9A+1c15FeCPrmtcWkcdF5LoWZReJyGut\nndPKdZbYRUi7jIi8JSKT2znmbBF5pRPXbLkie6GIXNHOORd1xXsTZ2X49M97HaWU6g6aGKnWPIsz\nh4pbqDlVTpqd1TdSPvf7ExGvMeZaY8zWLo0sfD42xkxwPZa1c/xFQMjEKMKfnVJKhY0mRqo1fwLO\ntzOFNy5uOxR4R0RSRORNEdkoIh+IyJyWJ4vjPhH50B7zbVt+toi8IyIrcCbUQ0QuF5F1thVjsYh4\n7eMJ1/k/CvEaI0TkXfv8r1zl7cYHvAmMcS29kYwzy/BLdv8lcRbJ3SJNC+UiIhUislBENgFfcrfu\niMhDIrLennOXLTtPRF5wnR9s6RGRc238G0XkBXHWymuVvdZ2EdmIs0xEY3myOIuirhOR91t5v21d\nt0JE7hGRTSLynohkishZOGvL3Wc/lzz7Xv9HRNYDPxCRC0RkrX3Nf4hIpr3eQBH5u62HJYC4Xitk\nvSqlVNQwxuhDHyEfwCvAHLv9M+B3djsOSLXb6cAumiYLrbA/LwHewJlpPBP4BBiCM7tvJTDCHjcW\n+AsQb/cXAVcAZwBvuGJJCxHfCuAKu32D67Vbja/F+Q8CP7Dbc4E/uZ4bYH/2wVk6YqDdN8C3XMe9\nBUxucY7Xlp9uY/kESLbPPQRcbuNa5Sq/Fbij5TVdr5OIswL8KJxE43ngFfvcfwOXN9YTsLPxuq7z\nc4FqoND1+IrrPV1gt38L3G63nwD+vcV7XeTa7+/63K8FFtrt/+t6L+fb66e3Va/60Ic+9BEtD20x\nUm1xdze5u5kE+G8R2Qz8A8jCSX7cvgw8a5xFOw8DbwNftM+tM8YU2e1zcJKgAnGWQzkHZwX03cBI\nEfmDOOtxlYWIb5orpqdc5R2Jr633B3CzbRV6D2eB0VG23I+z2G8o37KtOe8D44DTjDENwOvABbb7\n6Xyctc/OxOmmWm3f95XA8FauCzAGKDLGfGSMMcDTrufOBX5mr/MWThKVE+IaLbvS3rHldThJMMAG\nnCSqNX90bQ8D/iYiHwC32PcMzpIVTwMYY/4KHHed01q9KqVUVNBxAqotLwO/F5FJQJJxVvIGmAcM\nAs4wxtSLyB6cL+OOqnRtC/CkMebnLQ8SkS8AXweux1kv7JoQ1wq1pk1H41sDDLGvcxY2SRKRs3G6\n1b5kjKkSkbdc59eYEOtoibP46E+ALxpjjovIE65zngNuBI4B640x5SIiOC1il4aIq7MEuMQYs+Mk\nz6+3yRY4iV9b/y64P7s/APcbY1bYOruzzSDbrlellIoK2mKkWmWMqQD+CSyleWtKP+CITTpmELql\n4x3g23as0CCcVoRQK5a/Cfy7iGQAiMgAERkuzl1MHmPMn4HbgUkhzl1NU4vPvE7Gh00G/gg8Cbxm\njKlxnX/cfnmPwWndaU8qTtJQasfazHI997aN/3s4SRI4LSbTROQU+76TRWR0G9ffDuSKSJ7ddydU\nfwNusskWIjKxA/F2RDnQt43n+wHFdvtKV/kq4DIbyyycLrfG4ztbr0op1a00MVLteRb4As0To+XA\nZNuFcgXOl3ZLLwKbgU3ASuCnxphDLQ8yzh1dtwN/t11fb+CMRcoC3rLdQ0/jrOLe0g+AG2wcWZ2M\nr6339zoQJyLbcFa6f6+N8xvfxyacLrTtwDM4SVvjc36crqpZ9ifGmKPAVcCz9n2/i9Nd1tr1a4D5\nwF9td90R19MLgHhgs4hssfuh5Enz2/VvbudtPQfcYgdX54V4/k7gBRHZAHzqKr8LmG5j+SbOGCs4\niXpVSqnuJk0t6EoppZRSvZu2GCmllFJKWZoYKaWUUkpZmhgppZRSSlmaGCmllFJKWZoYKaWUUkpZ\nmhgppZRSSlmaGCmllFJKWZoYKaWUUkpZ/x+kme8xWNCVwAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11c37ca58>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"a = 120\n",
"fig,ax = plt.subplots()\n",
"ax.plot(areas,a1,'g',linewidth=3,label='Small area')\n",
"ax.plot(areas,a2,'c',linewidth=3,label='Medium area')\n",
"ax.plot(areas,a3,'m',linewidth=3,label= 'Big area')\n",
"\n",
"ax.vlines(a,0,1,linewidth=3)\n",
"ax.plot(a,a1[a],'ro')\n",
"ax.plot(a,a2[a],'ro')\n",
"ax.plot(a,a3[a],'ro')\n",
"\n",
"ax.set_ylabel('grau de pertinencia')\n",
"ax.set_xlabel('Valores da Variavel de Entrada')\n",
"\n",
"ax.legend(loc='upper right')\n",
"ax.legend(bbox_to_anchor=(1.60, 1.15))\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Questão 7 (11.11)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0.25,\n",
" 0.5 , 0.75, 1. , 0.75, 0.5 , 0.25, 0. , 0. , 0. ,\n",
" 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ])"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"v = fuzz.trimf(velocidades,[7,11,15])\n",
"v"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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AJAoJRhaNhNy907pBk9LUabA/cL8hWzVwz0C4j+v5tiOk72OMHeWcp1p7HKSt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\n2NHqmWpDrhlCSKI1E7Qqq4rcZ3JbOEIppdoumIHRMiBdRIaJSBhwJvC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NLBHhsIQE/j12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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11b74cac8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,ax = plt.subplots()\n",
"ax.plot(velocidades,v1,'g',linewidth=3,label='Low vel')\n",
"ax.plot(velocidades,v2,'c',linewidth=3,label='Medium vel')\n",
"ax.plot(velocidades,v3,'m',linewidth=3,label= 'High vel')\n",
"ax.plot(velocidades,v,'k--',linewidth=3,label= 'Fuzzy input')\n",
"ax.set_ylabel('grau de pertinencia')\n",
"ax.set_xlabel('Valores da Variavel de Entrada')\n",
"\n",
"ax.legend(loc='upper right')\n",
"ax.legend(bbox_to_anchor=(1.60, 1.15))\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n",
" 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n",
" 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n",
" 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n",
" 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n",
" 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n",
" 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n",
" 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n",
" 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n",
" 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n",
" 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n",
" 0. , 0. , 0. , 0.025, 0.05 , 0.075, 0.1 , 0.125,\n",
" 0.15 , 0.175, 0.2 , 0.225, 0.25 , 0.275, 0.3 , 0.325,\n",
" 0.35 , 0.375, 0.4 , 0.425, 0.45 , 0.475, 0.5 , 0.525,\n",
" 0.55 , 0.575, 0.6 , 0.625, 0.65 , 0.675, 0.7 , 0.725,\n",
" 0.75 , 0.775, 0.8 , 0.825, 0.85 , 0.875, 0.9 , 0.925,\n",
" 0.95 , 0.975, 1. , 0.975, 0.95 , 0.925, 0.9 , 0.875,\n",
" 0.85 , 0.825, 0.8 , 0.775, 0.75 , 0.725, 0.7 , 0.675,\n",
" 0.65 , 0.625, 0.6 , 0.575, 0.55 , 0.525, 0.5 , 0.475,\n",
" 0.45 , 0.425, 0.4 , 0.375, 0.35 , 0.325, 0.3 , 0.275,\n",
" 0.25 , 0.225, 0.2 , 0.175, 0.15 , 0.125, 0.1 , 0.075,\n",
" 0.05 , 0.025, 0. , 0. , 0. , 0. , 0. , 0. , 0. ])"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"a = fuzz.trimf(areas,[90,130,170])\n",
"a"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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OjBw5sqRz586VISEhkQsXLgyMiIgoA4DVq1d7KZVK6eOPPx4SFhYWMXjw4JBN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\n+KSrM0pjSugAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11c4b1208>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,ax = plt.subplots()\n",
"ax.plot(areas,a1,'g',linewidth=3,label='Small area')\n",
"ax.plot(areas,a2,'c',linewidth=3,label='Medium area')\n",
"ax.plot(areas,a3,'m',linewidth=3,label= 'Big area')\n",
"ax.plot(areas,a,'k--',linewidth=3,label= 'Fuzzy input')\n",
"\n",
"ax.set_ylabel('grau de pertinencia')\n",
"ax.set_xlabel('Valores da Variavel de Entrada')\n",
"\n",
"ax.legend(loc='upper right')\n",
"ax.legend(bbox_to_anchor=(1.60, 1.15))\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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