Defuzzification
Gaussian Centroid Defuzzification: Crisp representative of Gaussian fuzzy number
Zadeh, L.A. · 1965
Strengths
- •Trivial for symmetric case: x*=μ
- •Closed-form for asymmetric two-sided Gaussian
Limitations
- •Gaussian FNs less common in MCDM literature than TFN
- •σ carries no ranking information after defuzzification
Method assistant
Grounded explanations: it explains the method, it does not compute.
Assumptions to verify
- •σ > 0
- •Symmetric Gaussian assumed unless σ_L, σ_R specified separately
When not to use
- •TFN/trapezoidal inputs: use DEFUZZ-CENTROID
How to cite
Zadeh, L.A. (1965). Fuzzy sets. Information and Control. https://doi.org/10.1016/S0019-9958(65)90241-X