Homomorphism of t - norm (δ, γ)-Fuzzy Groups

Abstract

The concept of fuzzy sets was introduced by Zadeh [2] in 1965. Rosenfield [3] introduced the notion of a fuzzy group as easily as 1971. We expand the notion of t – norm from Rajesh Kumar [1]. The author have already introduced the notation (δ,γ)-fuzzy in [4] and t – norm (δ,γ)-fuzzy [5]. In this research paper, we study the notion of t – norm (δ,γ)-fuzzy set and subsequently study t – norm (δ,γ)-fuzzy subgroup and the behavior of these t – norm (δ,γ)-fuzzy subgroups (normal subgroups) under group homomorphism have been discussed.