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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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/8856287 |
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| author | G. Muhiuddin A. M. Alanazi A. Mahboob D. Al-Kadi |
| author_facet | G. Muhiuddin A. M. Alanazi A. Mahboob D. Al-Kadi |
| author_sort | G. Muhiuddin |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-f8a1eab1fafd4b7486589718f86483b8 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-f8a1eab1fafd4b7486589718f86483b82025-02-03T06:45:52ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/88562878856287Generalized Hesitant Fuzzy Ideals in SemigroupsG. Muhiuddin0A. M. Alanazi1A. Mahboob2D. Al-Kadi3Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, Madanapalle Institute of Technology & Science, Madanapalle-517325, IndiaDepartment of Mathematics and Statistic, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaIn 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 |
| spellingShingle | G. Muhiuddin A. M. Alanazi A. Mahboob D. Al-Kadi Generalized Hesitant Fuzzy Ideals in Semigroups Journal of Mathematics |
| title | 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_short | Generalized Hesitant Fuzzy Ideals in Semigroups |
| title_sort | generalized hesitant fuzzy ideals in semigroups |
| 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 |