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:
![B equal A .R](https://3.bp.blogspot.com/_n9X_m234oaw/TS0GJQ2G48I/AAAAAAAADMM/eYsNbk_6HK0/s320/fuzzy-product.png)
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.