Defuzzification
Centroid Defuzzification: Centre of gravity crisp representative
Mamdani, E.H., Assilian, S. · 1975
Strengths
- •Most widely used
- •Considers entire fuzzy set shape
- •Unique output
Limitations
- •Computationally expensive for general MFs (numerical integration)
Method assistant
Grounded explanations: it explains the method, it does not compute.
Assumptions to verify
- •Input is a valid fuzzy number (a ≤ b ≤ c or a ≤ b ≤ c ≤ d)
When not to use
- •Bimodal membership functions
How to cite
Mamdani, E.H.; Assilian, S. (1975). An experiment in linguistic synthesis with a fuzzy logic controller. International Journal of Man-Machine Studies. https://doi.org/10.1016/S0020-7373(75)80002-2