New types of fuzzy (m, n)-ideals in ordered semigroups-Reference-Cited by-同舟云学术

New types of fuzzy (m, n)-ideals in ordered semigroups

Published:2021-12-16 Issue:6 Volume:41 Page:6561-6574
ISSN:1064-1246
Container-title:Journal of Intelligent & Fuzzy Systems
language:
Short-container-title:IFS

Author:

Muhiuddin G.¹,Mahboob A.²,Khan N. M.³,Al-Kadi D.⁴

Affiliation:

1. Department of Mathematics, University of Tabuk, Tabuk, Saudi Arabia

2. Department of Mathematics, Madanapalle Institute of Technology & Science, Madanapalle, India

3. Department of Mathematics, Aligarh Muslim University, Aligarh, India

4. Department of Mathematics and Statistic, College of Science, Taif University, Taif, Saudi Arabia

Abstract

In this paper, we introduce new types of fuzzy (m, n)-ideals in ordered semigroups. In fact, the notion of (∈ , ∈ ∨ (κ*, qκ))-fuzzy (m, n)-ideals of the ordered semigroups is introduced. Further, we present the characterzations of this notion in different ways. Then the (κ*, κ)-lower part of the (∈ , ∈ ∨ (κ*, qκ))-fuzzy (m, n)-ideals is defined and its associated properties are investigated. After that, (m, n)-regular ordered semigroups are characterized in terms of its (∈ , ∈ ∨ (κ*, qκ))-fuzzy (m, n)-ideals and their (κ*, κ)-lower parts.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

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