Various Forms of Fuzzy Composition Operations

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

Max-Min Composition:-

max-min-fuzzy-composition-operation

Max-Product Composition:-

max product fuzzy composition

Min-Max Composition:-

min-max-fuzzy-composition

Max-Max Composition:-

max-max-fuzzy-composition

Min-Min Composition:-

min-min-fuzzy-composition

Max-Average Composition:-

max-average-fuzzy-composition

Sum-Product Composition:-

sum-product-fuzzy-compositionWhere f is a logistic function like that of step, sigmoid, or linear.