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 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.
|1||Definition||Fuzzification 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.|
|2||Purpose||Fuzzification converts a precise data into imprecise data.||Defuzzification converts an imprecise data into precise data.|
|3||Example||Voltmeter.||Stepper motor, D/A converter.|
|4||Methods used||Inference, Rank ordering, Angular fuzzy sets, Neural network.||Maximum membership principle, Centroid method, Weighted average method, Center of sums.|
|5||Complexity||Fuzzification is easy.||Defuzzification is quiet complex to implement.|
|6||Approach||Fuzzification uses if-then rules to fuzzify the crisp value.||Defuzzification uses center of gravity methods to get centroid of sets.|