INTUITIONISTIC FUZZY ASPECTS OF MULTIPLICATION N-GROUPS

Md Nazir Hussain; Navalakhi Hazarika; Anuradha Devi

doi:10.56827/SEAJMMS.2023.1902.20

Md Nazir Hussain Department of Mathematics, Bilasipara College, Dhubri - 783348, Assam, INDIA
Navalakhi Hazarika Department of Mathematics, GL Choudhury College, Barpeta - 781315, Assam, INDIA
Anuradha Devi The Assam Royal Global University, Department of Mathematics, Betkuchi, Guwahati - 781035, Assam, INDIA

DOI: https://doi.org/10.56827/SEAJMMS.2023.1902.20

Keywords: Near rings, N- groups, DN-groups, multiplication DN groups, intuitionistic fuzzy multiplication N-groups.

Abstract

Intuitionistic fuzzy (IF) sets were first put forward by K. Atanassov as a generalised notation for fuzzy sets in 1983. The concepts of intuitionistic fuzzy near rings, intuitionistic fuzzy N-groups, intuitionistic fuzzy N-subgroups, intuitionistic fuzzy ideals of N-group are described by P. Saikia, L. K. Barthakur and H. K. Saikia in [10, 11]. Fuzzy distributive modules are studied by Sh. B. Semeein and I. M. A. Hadi in [4]. Intuitionistic fuzzy multiplication modules are studied by P. K. Sharma in [13]. We extend the notion of intuitionistic fuzzy multiplication modules to intuitionistic fuzzy multiplication N-groups. Here, we define intuitionistic fuzzy multiplication N-group and some basic definitions that are needed in this sequel. The relations ship of multiplication N-groups, intuitionistic fuzzy multiplication N-groups, DN-groups and intuitionistic fuzzy DN-groups are also studied