Open AccessArticle

On properties of hesitant fuzzy ideals in semigroups

and

1Taif University, Department of Mathematics and Statistic, Taif, 21974, Saudi Arabia2University of Tabuk, Department of Mathematics, Tabuk, 71491, Saudi Arabia

* Corresponding Author: Aakif Fairooze Talee. Email:

Annals of Communications in Mathematics 2020, 3 (1), 97-106. https://doi.org/10.62072/acm.2020.030110

Received: 26 March 2020 |

Accepted: 30 May 2020 |

Published: 25 May 2020

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Abstract

In this paper, we study some properties of hesitant fuzzy ideals and hesitant fuzzy bi-ideals in a semigroup and discuss their characterizations. Also we introduce hesitant fuzzy interior ideals in a semigroup and studied their properties. It is proved that in a semigroup a hesitant fuzzy ideal is a hesitant fuzzy interior ideal but the converse is not true. Moreover we prove that in regular and in intra-regular semigroups the hesitant fuzzy ideals and the hesitant fuzzy interior ideals coincide.

Keywords

hesitant fuzzy bi-ideal; hesitant fuzzy duo; Hesitant fuzzy ideal; hesitant fuzzy interior ideal

Cite This Article

Aakif Fairooze Talee, M. Y. Abbasi, A. Basar.

On properties of hesitant fuzzy ideals in semigroups.

Annals of Communications in Mathematics

2020,

3 (1):

97-106.

https://doi.org/10.62072/acm.2020.030110

Copyright © 2020 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).