Centroid Defuzzification — Centre of gravity crisp representative
DEFUZZ-CENTROID (Centroid Defuzzification — Centre of gravity crisp representative) is a defuzzification multi-criteria decision-making (MCDM) method introduced by Mamdani, E.H. in 1975. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
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When to use it
Centroid is the most widely used defuzzification method. It preserves the balance of the fuzzy set. Use for symmetric TFNs; for highly skewed FNs consider MOM or bisector.
Strengths & limitations
- 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.
- Assumes full compensation — a strong score on one criterion can offset a weak score on another.
Sources
- Mamdani, E.H., Assilian, S. (1975). An experiment in linguistic synthesis with a fuzzy logic controller. International Journal of Man-Machine Studies DOI: 10.1016/S0020-7373(75)80002-2 ↗
How to cite this page
ScholarGate. (2026, June 2). Centroid Defuzzification — Centre of gravity crisp representative. ScholarGate. https://scholargate.app/en/decision-making/defuzz-centroid
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.
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- FUZZY-AHPDecision-making↔ compare
- FUZZY-TOPSISDecision-making↔ compare
- FUZZY-VIKORDecision-making↔ compare
- MABACDecision-making↔ compare
- TOPSISDecision-making↔ compare
- VIKORDecision-making↔ compare
- WASPASDecision-making↔ compare