Difference between Fuzzification and Defuzzification


Fuzzification

Fuzzification may be defined as the process of transforming a crisp set to a fuzzy set or a fuzzy set to fuzzier set. Basically, this operation translates accurate crisp input values into linguistic variables.

Defuzzification

Defuzzification It may be defined as the process of reducing a fuzzy set into a crisp set or to convert a fuzzy member into a crisp member.

We have already studied that the fuzzification process involves conversion from crisp quantities to fuzzy quantities. In a number of engineering applications, it is necessary to defuzzify the result or rather "fuzzy result" so that it must be converted to crisp result. Mathematically, the process of Defuzzification is also called "rounding it off".

Following are the important difference between Fuzzification and Defuzzification.

Sr. No.KeyFuzzificationDefuzzification
1DefinitionFuzzification is the process of transforming a crisp set to a fuzzy set or a fuzzy set to fuzzier set.Defuzzification is the process of reducing a fuzzy set into a crisp set or converting a fuzzy member into a crisp member.
2PurposeFuzzification converts a precise data into imprecise data.Defuzzification converts an imprecise data into precise data.
3ExampleVoltmeter.Stepper motor, D/A converter.
4Methods usedInference, Rank ordering, Angular fuzzy sets, Neural network.Maximum membership principle, Centroid method, Weighted average method, Center of sums.
5ComplexityFuzzification is easy.Defuzzification is quiet complex to implement.
6ApproachFuzzification uses if-then rules to fuzzify the crisp value.Defuzzification uses center of gravity methods to get centroid of sets.
raja
Published on 27-Nov-2019 07:45:26
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