MCDMDecision-makingDefuzzificationMath steps
Gaussian Centroid Defuzzification — Crisp representative of Gaussian fuzzy number
DEFUZZ-CENTROID-GAUSSIAN (Gaussian Centroid Defuzzification — Crisp representative of Gaussian fuzzy number) is a defuzzification multi-criteria decision-making (MCDM) method introduced by Zadeh, L.A. in 1965. 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
For symmetric Gaussian: defuzzified value = μ directly (no computation needed). σ only matters for overlap and aggregation, not defuzzification. For asymmetric Gaussian: x* shifts toward the heavier tail.
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.Zadeh, L.A. (1965). Fuzzy sets. Information and Control
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Cite this page
ScholarGate. (2026, June 2). DEFUZZ-CENTROID-GAUSSIAN. ScholarGate. https://scholargate.app/decision-making/defuzz-centroid-gaussian