INTUITIONISTIC FUZZY ASPECTS OF MULTIPLICATION $N$-GROUPS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 65

Volume : 19 , Issue : 2
DOI: https://doi.org/10.56827/SEAJMMS.2023.1902.20
Author :
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)

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.

Keywords and Phrases

Near rings, $N$- groups, $DN$-groups, multiplication $DN$- groups, intuitionistic fuzzy multiplication $N$-groups.

A.M.S. subject classification

16Y30, 08A72, 03F55.

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