Norms on intuitionistic fuzzy multigroups

Authors

  • Rasul Rasuli Department of Mathematics, Payame Noor University(PNU), Tehran, Iran.

DOI:

https://doi.org/10.2298/YJOR200318033R

Keywords:

sets, multisets, fuzzy set theory, group theory, intuitionistic fuzzy multigroups, norms, intersection theory, products, homomorphisms

Abstract

In this paper, we propose the notion of intuitionistic fuzzy multigroups under norms (t-norm T and t-conorm C) and study the variety of their algebraic structure. Next, we define the inverse, product, intersection and the sum of them. Also, we explored some of their properties and got the related results. Finally, under group homomorphisms, image and pre image of them are introduced and investigated.

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Published

2021-08-01

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Section

Research Articles