MCDMDecision-makingRankingMath steps
Fuzzy TOPSIS (Chen 2000) — TOPSIS extension for group decision-making under fuzzy environment with triangular fuzzy numbers
FUZZY-TOPSIS-CHEN2000 (Fuzzy TOPSIS (Chen 2000) — TOPSIS extension for group decision-making under fuzzy environment with triangular fuzzy numbers) is a ranking multi-criteria decision-making (MCDM) method introduced by Chen, C.-T. in 2000. 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
CC ∈ [0, 1]. Higher CC means the alternative is closer to the FPIS and farther from the FNIS under the fuzzy vertex distance. Rank by descending CC.
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
- May exhibit rank reversal when alternatives are added to or removed from the set.
- Assumes full compensation — a strong score on one criterion can offset a weak score on another.
Common pitfalls
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Sources
- 1.Chen, C.-T. (2000). Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy Sets and Systems
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ScholarGate. (2026, June 2). FUZZY-TOPSIS-CHEN2000. ScholarGate. https://scholargate.app/decision-making/fuzzy-topsis-chen2000