Consider the following methods: π1: Mean of maximum π2: Centre of area π3:β¦
2019
Consider the following methods:
π1: Mean of maximum
π2: Centre of area
π3: Height method
Which of the following is/are defuzzification method(s)?
- A.
OnlyΒ π2
- B.
OnlyΒ π1Β andΒ π2
- C.
OnlyΒ π2Β andΒ π3
- D.
π1,Β π2Β andΒ π3
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Correct answer: D
Defuzzification: the process of converting a fuzzy set into a single crisp output value.
Answer: Mean of maximum, Centre of area, and Height method are all defuzzification methods.
Mean of maximum (M1): Takes the average of the input values at which the membership function attains its maximum value; useful when there are multiple maxima.
Centre of area (M2): Also called the centroid method or centre of gravity; computes the crisp output as the area-weighted average of the aggregated membership function over the output domain.
Height method (M3): Uses the heights (peak membership values) of individual output fuzzy sets to compute a weighted average of their representative values; often applied when each fuzzy set has a single representative point.
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