Abstract
In this paper, we introduce the concepts of fuzzy homomorphism and fuzzy isomorphism between two fuzzy groups by a natural way, and study some of their properties. We prove the decomposition theorems for fuzzy homomorphism and fuzzy isomorphism. Lastly, using the concept of ϕ-fuzzy quotient group we give the fuzzy homomorphism (isomorphism) theorems of fuzzy groups.
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