Homomorphism Theorems in the New View of Fuzzy Gamma Rings

Abstract

In this paper, we introduce several concepts related to fuzzy algebraic structures. We provide an example of a fuzzy binary operation and a fuzzy group. Additionally, we define a new fuzzy binary operation on a $\mathrm{\Gamma }$-ring $M$ and introduce a new fuzzy $\mathrm{\Gamma }$-ring. We also present homomorphism theorems between two fuzzy $\mathrm{\Gamma }$-rings and investigate some related properties.