Some Properties of a Fuzzy subgroup Homomorphism

In this paper aims to study some properties of homomorphism in group theory whichgives the ability to apply on fuzzy subgroup and fuzzy normal subgroup homomorphisms .We introduce some propositions ,theorems and notes on some properties of fuzzysubgroup homomorphism and fuzzy normal subgroup homomorphism and we set someconditions carried over on some properties of fuzzy subgroup homomorphism .