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September 16, 2021 01:18
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This program shows all the operations performed when calculating the transitivity of a fuzzy relation
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C = [[1, 0.8,0.9], [0.8, 1,0.9],[0.9, 0.9,1]] | |
def operations(i,j,k,X): | |
print("X[" + str(j) + "]" + "[" + str(k) + "] >= max(X[" + str(j) + "]" + "[" + str(k) + "],min(X[" + str(j) + "]" + "[" + str(i) + "],X[" + str(i) + "]" + "[" + str(k) + "]))") | |
print(str(X[j][k]) + " >= max(" + str(X[j][k]) + ",min(" + str(X[j][i]) + "," + str(X[i][k]) + "))") | |
print(str(X[j][k]) + " >= max(" + str(X[j][k]) + "," + str(min(X[j][i],X[i][k])) + ")") | |
print(str(X[j][k]) + " >= " + str(max(X[j][k],min(X[j][i],X[i][k])))) | |
print("----------------") | |
def transitive(X): | |
for i in range(len(X)): | |
for j in range(len(X)): | |
for k in range(len(X)): | |
if (X[j][k] < max(X[j][k],min(X[j][i],X[i][k]))): | |
print("Intransividad detectada: ") | |
operations(i,j,k,X) | |
#return False | |
else: | |
print("Se cumple la transitividad:") | |
operations(i,j,k,X) | |
#return True | |
transitive(C) |
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