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

Author:

Arul Selvaraj X,Jayaraj J

Abstract

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.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Reference10 articles.

1. Fuzzy sets

2. Fuzzy groups;Rosenfield;J-Math anal. Appl.,1971

3. On the Lattice of (δ,γ)-Fuzzy Ideals of a Lattice;Arui Selvaraj;Journal of emerging Technologies and Innovative Research,2019

4. t – norm (δ,γ)-Fuzzy Bi-Ideals Of a Near-Rings;Aral Selvaraj;J. of emerging Technologies and Innovative Research,2019

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