Fuzzy homomorphism and algebraic structures
The authors prove analogues of homomorphism theorems for fuzzy homomorphisms. Their definition of a fuzzy function is as follows: A fuzzy function \(f: X\to Y\), where \(X\) and \(Y\) are two sets, is an ordinary function from \(X\) into \(p(Y)\), where \(p(Y)\) is the set of all fuzzy subsets of \(Y\). The authors study the composition of fuzzy homomorphisms, a concept which usually introduces some complications into the fuzzification of fuzzy functions. The authors also study the generation of a fuzzy subgroup by a fuzzy subset where product replaces minimum.
scientific article; zbMATH DE number 516636