Generalized Hesitant Fuzzy Ideals in Semigroups

Generalized Hesitant Fuzzy Ideals in Semigroups

In this paper, as a generalization of the concepts of hesitant fuzzy bi-ideals and hesitant fuzzy right (resp. left) ideals of semigroups, the concepts of hesitant fuzzy m,n-ideals and hesitant fuzzy m,0-ideals (resp. 0,n-ideals) are introduced. Furthermore, conditions for a hesitant fuzzy m,n-ideal...

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Main Authors: G. Muhiuddin, A. M. Alanazi, A. Mahboob, D. Al-Kadi
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2020/8856287
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spelling doaj-f8a1eab1fafd4b7486589718f86483b82021-01-04T00:00:55ZengHindawi LimitedJournal of Mathematics2314-47852020-01-01202010.1155/2020/8856287Generalized Hesitant Fuzzy Ideals in SemigroupsG. Muhiuddin0A. M. Alanazi1A. Mahboob2D. Al-Kadi3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of Mathematics and StatisticIn this paper, as a generalization of the concepts of hesitant fuzzy bi-ideals and hesitant fuzzy right (resp. left) ideals of semigroups, the concepts of hesitant fuzzy m,n-ideals and hesitant fuzzy m,0-ideals (resp. 0,n-ideals) are introduced. Furthermore, conditions for a hesitant fuzzy m,n-ideal (m,0-ideal, 0,n-ideal) to be a hesitant fuzzy bi-ideal (right ideal, left ideal) are provided. Moreover, several correspondences between bi-ideals (right ideals, left ideals) and hesitant fuzzy m,n-ideals (m,0-ideals, 0,n-ideals) are obtained. Also, the characterizations of different classes of semigroups in terms of their hesitant fuzzy m,n-ideals and hesitant fuzzy m,0-ideals (0,n-ideals) are investigated.http://dx.doi.org/10.1155/2020/8856287
collection DOAJ
language English
format Article
sources DOAJ
author G. Muhiuddin
A. M. Alanazi
A. Mahboob
D. Al-Kadi
spellingShingle G. Muhiuddin
A. M. Alanazi
A. Mahboob
D. Al-Kadi
Generalized Hesitant Fuzzy Ideals in Semigroups
Journal of Mathematics
author_facet G. Muhiuddin
A. M. Alanazi
A. Mahboob
D. Al-Kadi
author_sort G. Muhiuddin
title Generalized Hesitant Fuzzy Ideals in Semigroups
title_short Generalized Hesitant Fuzzy Ideals in Semigroups
title_full Generalized Hesitant Fuzzy Ideals in Semigroups
title_fullStr Generalized Hesitant Fuzzy Ideals in Semigroups
title_full_unstemmed Generalized Hesitant Fuzzy Ideals in Semigroups
title_sort generalized hesitant fuzzy ideals in semigroups
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4785
publishDate 2020-01-01
description In this paper, as a generalization of the concepts of hesitant fuzzy bi-ideals and hesitant fuzzy right (resp. left) ideals of semigroups, the concepts of hesitant fuzzy m,n-ideals and hesitant fuzzy m,0-ideals (resp. 0,n-ideals) are introduced. Furthermore, conditions for a hesitant fuzzy m,n-ideal (m,0-ideal, 0,n-ideal) to be a hesitant fuzzy bi-ideal (right ideal, left ideal) are provided. Moreover, several correspondences between bi-ideals (right ideals, left ideals) and hesitant fuzzy m,n-ideals (m,0-ideals, 0,n-ideals) are obtained. Also, the characterizations of different classes of semigroups in terms of their hesitant fuzzy m,n-ideals and hesitant fuzzy m,0-ideals (0,n-ideals) are investigated.
url http://dx.doi.org/10.1155/2020/8856287
work_keys_str_mv AT gmuhiuddin generalizedhesitantfuzzyidealsinsemigroups
AT amalanazi generalizedhesitantfuzzyidealsinsemigroups
AT amahboob generalizedhesitantfuzzyidealsinsemigroups
AT dalkadi generalizedhesitantfuzzyidealsinsemigroups
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