$(lambda,alpha)$-Homomorphisms of intuitionistic fuzzy groups§

Abstract

In this paper, we present $(lambda, alpha)$-homomorphisms and $(lambda, alpha)$-isomorphisms between two intuitionistic fuzzy groups by means of the concept of cut-set of an intuitionistic fuzzy set. Furthermore, we discuss in detail a series of homomorphic properties of intuitionistic fuzzy groups by taking advantage of an intuitionistic L*-nested set. Consequently, we obtain some important results.