A Hesitant Fuzzy Set Approach to Ideal Theory in Γ-Semigroups
We apply the hesitant fuzzy sets theory to Γ-semigroups and provide some characterizations of hesitant fuzzy left (right and bi-) ideals. We introduce the hesitant fuzzy left (resp., right and two-sided) ideal, hesitant fuzzy bi-ideal, and hesitant fuzzy interior ideal in Γ-semigroup and study some...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2018/5738024 |
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| author | Mohammad Y. Abbasi Aakif F. Talee Sabahat A. Khan Kostaq Hila |
| author_facet | Mohammad Y. Abbasi Aakif F. Talee Sabahat A. Khan Kostaq Hila |
| author_sort | Mohammad Y. Abbasi |
| collection | DOAJ |
| description | We apply the hesitant fuzzy sets theory to Γ-semigroups and provide some characterizations of hesitant fuzzy left (right and bi-) ideals. We introduce the hesitant fuzzy left (resp., right and two-sided) ideal, hesitant fuzzy bi-ideal, and hesitant fuzzy interior ideal in Γ-semigroup and study some properties of them. Finally, a characterization of a simple Γ-semigroup by means of a hesitant fuzzy simple Γ-semigroup is obtained. |
| format | Article |
| id | doaj-art-b199e83c63db41e583b4230833594cd5 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-b199e83c63db41e583b4230833594cd52025-02-03T06:06:46ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2018-01-01201810.1155/2018/57380245738024A Hesitant Fuzzy Set Approach to Ideal Theory in Γ-SemigroupsMohammad Y. Abbasi0Aakif F. Talee1Sabahat A. Khan2Kostaq Hila3Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, IndiaDepartment of Mathematics, Jamia Millia Islamia, New Delhi 110025, IndiaDepartment of Mathematics, Jamia Millia Islamia, New Delhi 110025, IndiaDepartment of Mathematics & Computer Science, University of Gjirokastra, Gjirokastra 6001, AlbaniaWe apply the hesitant fuzzy sets theory to Γ-semigroups and provide some characterizations of hesitant fuzzy left (right and bi-) ideals. We introduce the hesitant fuzzy left (resp., right and two-sided) ideal, hesitant fuzzy bi-ideal, and hesitant fuzzy interior ideal in Γ-semigroup and study some properties of them. Finally, a characterization of a simple Γ-semigroup by means of a hesitant fuzzy simple Γ-semigroup is obtained.http://dx.doi.org/10.1155/2018/5738024 |
| spellingShingle | Mohammad Y. Abbasi Aakif F. Talee Sabahat A. Khan Kostaq Hila A Hesitant Fuzzy Set Approach to Ideal Theory in Γ-Semigroups Advances in Fuzzy Systems |
| title | A Hesitant Fuzzy Set Approach to Ideal Theory in Γ-Semigroups |
| title_full | A Hesitant Fuzzy Set Approach to Ideal Theory in Γ-Semigroups |
| title_fullStr | A Hesitant Fuzzy Set Approach to Ideal Theory in Γ-Semigroups |
| title_full_unstemmed | A Hesitant Fuzzy Set Approach to Ideal Theory in Γ-Semigroups |
| title_short | A Hesitant Fuzzy Set Approach to Ideal Theory in Γ-Semigroups |
| title_sort | hesitant fuzzy set approach to ideal theory in γ semigroups |
| url | http://dx.doi.org/10.1155/2018/5738024 |
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