Various Forms of Fuzzy Composition Operations

If A and B are two fuzzy sets and R is a fuzzy relation such that then the various forms of fuzzy composition operations are as follow:

Max-Min Composition:-

Max-Product Composition:-

Min-Max Composition:-

Max-Max Composition:-

Min-Min Composition:-

Max-Average Composition:-

Sum-Product Composition:-

Where f is a logistic function like that of step, sigmoid, or linear.

Tags: fuzzy, fuzzy logic, fuzzy composition

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