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| | Situation | Recommended Algorithm | | |
| |------------------------------------------------------------------|------------------------------------------| | |
| | You need users to define importance subjectively via comparisons | AHP | | |
| | You need to validate logical consistency of judgments | AHP | | |
| | You have objective data and pre-defined weights | SAW | | |
| | You need a fast, easy-to-implement solution | SAW | | |
| | You need fine-grained differentiation between close alternatives | TOPSIS | | |
| | Scale of criteria values varies greatly | TOPSIS | | |
| | You want to combine subjective + objective data | AHP for weights → SAW/TOPSIS for scoring | |
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| | Alternative | Price | Performance | Battery | | |
| | ----------- | ----- | ----------- | ------- | | |
| | Laptop A | 0.800 | 0.944 | 0.800 | | |
| | Laptop B | 1.000 | 0.833 | 1.000 | | |
| | Laptop C | 0.667 | 1.000 | 0.667 | |
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| | Alternative | Price (Cost, max=2000) | Performance (Benefit, max=100) | Battery (Benefit, max=200) | | |
| | ----------- | ---------------------- | ------------------------------ | -------------------------- | | |
| | Laptop A | 1500 | 85 | 12 | | |
| | Laptop B | 1200 | 75 | 15 | | |
| | Laptop C | 1800 | 90 | 10 | |
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| | | Price | Camera | Battery | | |
| | ------- | ----- | ------ | ------- | | |
| | Price | 1.000 | 0.200 | 3.000 | | |
| | Camera | 5.000 | 1.000 | 7.000 | | |
| | Battery | 0.333 | 0.143 | 1.000 | |
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| | Algorithm | Available Since | Best For | | |
| | -------------------------------- | --------------- | ----------------------------------------------- | | |
| | AHP (Analytic Hierarchy Process) | v1.0.0 | Subjective weighting via pairwise comparison | | |
| | SAW (Simple Additive Weighting) | v1.1.0 | Simple, fast ranking with known weights | | |
| | TOPSIS | v1.2.0 | Robust ranking based on ideal solution distance | |