MCDMDecision-makingDefuzzificationMath steps
Bisector of Area Defuzzification — Vertical line dividing fuzzy set area equally
DEFUZZ-BISECTOR (Bisector of Area Defuzzification — Vertical line dividing fuzzy set area equally) is a defuzzification multi-criteria decision-making (MCDM) method introduced by van Leekwijck, W.; Kerre, E.E. in 1999. 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
Bisector = 'median' of fuzzy set. For symmetric TFNs: bisector = centroid = mode. For asymmetric: bisector is between centroid and the lighter tail. Use alongside centroid to assess sensitivity to defuzzification method.
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
- Results depend on the chosen normalisation, weights, and parameter settings.
Common pitfalls
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Sources
- 1.van Leekwijck, W., Kerre, E.E. (1999). Defuzzification: criteria and classification. Fuzzy Sets and Systems
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ScholarGate. (2026, June 2). DEFUZZ-BISECTOR. ScholarGate. https://scholargate.app/decision-making/defuzz-bisector