ISOMORPHISM THEOREMS OF COMPLEX FUZZY Γ-RINGS

Abstract

A complex fuzzy $\mathrm{\Gamma }$-ring is a fuzzy $\mathrm{\Gamma }$-ring whose membership function takes values in the closure of the unit disk around the origin (or closed unit disk around the origin) in the complex plane. In this paper, we define the complex fuzzy sub-$\mathrm{\Gamma }$-ring and complex fuzzy ideals of $\mathrm{\Gamma }$-rings. We establish an analogue of the isomorphism theorems of $\mathrm{\Gamma }$-rings out of complex fuzzy $\mathrm{\Gamma }$-rings.