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:
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.