MCDMDecision-makingRankingMath steps
Fuzzy SAW (Bonissone 1982) - L-R trapezoidal Simple Additive Weighting
FUZZY-SAW (Fuzzy SAW (Bonissone 1982) - L-R trapezoidal Simple Additive Weighting) is a ranking multi-criteria decision-making (MCDM) method introduced by Bonissone, P. P. in 1982. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
Key highlights
- Follows a transparent, reproducible computational procedure that can be audited step by step.
- Handles multiple criteria of differing scales and units within a single decision matrix.
Intuition
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How it works
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When to use it
Fuzzy SAW (Bonissone 1982 L-R variant) aggregates weighted L-R 4-tuple contributions per alternative, then defuzzifies via trapezoidal centroid. Output is the descending ranking of centroids.
Strengths & limitations
Strengths
- Follows a transparent, reproducible computational procedure that can be audited step by step.
- Handles multiple criteria of differing scales and units within a single decision matrix.
Limitations
- Assumes full compensation — a strong score on one criterion can offset a weak score on another.
Common pitfalls
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Sources
- 1.Bonissone, P. P. (1982). A fuzzy set based linguistic approach: Theory and applications. Approximate Reasoning in Decision Analysis (Gupta, M. M. and Sanchez, E., Eds.)
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ScholarGate. (2026, June 2). FUZZY-SAW. ScholarGate. https://scholargate.app/decision-making/fuzzy-saw