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Home›Decision-making›Fuzzy SAW (Bonissone 1982) - L-R trapezoidal Simple Additive Weighting
MCDMRankingFuzzy LR TrFN

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.

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FUZZY-SAW
FUZZY-AHPSAW

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.

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.) link ↗

How to cite this page

ScholarGate. (2026, June 2). Fuzzy SAW (Bonissone 1982) - L-R trapezoidal Simple Additive Weighting. ScholarGate. https://scholargate.app/en/decision-making/fuzzy-saw

Related methods

FUZZY-AHPSAW

Which method?

Set this method beside its closest kin and read them side by side — the library lays the books on the table; the choice is yours.

  • FUZZY-AHPDecision-making↔ compare
  • SAWDecision-making↔ compare
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Similar methods

SAWIF-SAWPF-SAWGREY-SAWQR-SAWIV-SAWFUZZY-TOPSISHF-SAW

Related reference concepts

Decision Support SystemsDecision MakingWeighted ScoresHierarchical Cluster AnalysisParticipative Decision MakingEvaluation Criteria

Spotted an issue on this page? Report or suggest a fix →

ScholarGate — FUZZY-SAW (Fuzzy SAW (Bonissone 1982) - L-R trapezoidal Simple Additive Weighting). Retrieved 2026-07-21 from https://scholargate.app/en/decision-making/fuzzy-saw · Dataset: https://doi.org/10.5281/zenodo.20539026
Quick facts
Originator
Bonissone, P. P.
Subfamily
Ranking
Year
1982
Type
Fuzzy SAW - L-R trapezoidal (a, b, alpha, beta)
Value Space
Fuzzy LR TrFN
Uncertainty
epistemic
Compensation
full
Rank Reversal
No
Related methods
FUZZY-AHPSAW
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