On inf-Hesitant Fuzzy Γ-Ideals of Γ-Semigroups
The notions of an inf-hesitant fuzzy Γ-ideal and a sup,inf-hesitant fuzzy Γ-ideal, which are a generalization of an interval-valued fuzzy Γ-ideal, of a Γ-semigroup are introduced and some properties are investigated. Characterizations of the notions are provided in terms of sets, fuzzy sets, intuiti...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2022/9755894 |
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| _version_ | 1850226162575343616 |
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| author | Pongpun Julatha Aiyared Iampan |
| author_facet | Pongpun Julatha Aiyared Iampan |
| author_sort | Pongpun Julatha |
| collection | DOAJ |
| description | The notions of an inf-hesitant fuzzy Γ-ideal and a sup,inf-hesitant fuzzy Γ-ideal, which are a generalization of an interval-valued fuzzy Γ-ideal, of a Γ-semigroup are introduced and some properties are investigated. Characterizations of the notions are provided in terms of sets, fuzzy sets, intuitionistic fuzzy sets, interval-valued fuzzy sets, and hesitant fuzzy sets. Furthermore, characterizations of a Γ-ideal of a Γ-semigroup are given in terms of inf-hesitant and sup,inf-hesitant fuzzy Γ-ideals. |
| format | Article |
| id | doaj-art-5ed6ef0570d9434c96fa65010e68c7e0 |
| institution | OA Journals |
| issn | 1687-711X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-5ed6ef0570d9434c96fa65010e68c7e02025-08-20T02:05:09ZengWileyAdvances in Fuzzy Systems1687-711X2022-01-01202210.1155/2022/9755894On inf-Hesitant Fuzzy Γ-Ideals of Γ-SemigroupsPongpun Julatha0Aiyared Iampan1Department of MathematicsFuzzy Algebras and Decision-Making Problems Research UnitThe notions of an inf-hesitant fuzzy Γ-ideal and a sup,inf-hesitant fuzzy Γ-ideal, which are a generalization of an interval-valued fuzzy Γ-ideal, of a Γ-semigroup are introduced and some properties are investigated. Characterizations of the notions are provided in terms of sets, fuzzy sets, intuitionistic fuzzy sets, interval-valued fuzzy sets, and hesitant fuzzy sets. Furthermore, characterizations of a Γ-ideal of a Γ-semigroup are given in terms of inf-hesitant and sup,inf-hesitant fuzzy Γ-ideals.http://dx.doi.org/10.1155/2022/9755894 |
| spellingShingle | Pongpun Julatha Aiyared Iampan On inf-Hesitant Fuzzy Γ-Ideals of Γ-Semigroups Advances in Fuzzy Systems |
| title | On inf-Hesitant Fuzzy Γ-Ideals of Γ-Semigroups |
| title_full | On inf-Hesitant Fuzzy Γ-Ideals of Γ-Semigroups |
| title_fullStr | On inf-Hesitant Fuzzy Γ-Ideals of Γ-Semigroups |
| title_full_unstemmed | On inf-Hesitant Fuzzy Γ-Ideals of Γ-Semigroups |
| title_short | On inf-Hesitant Fuzzy Γ-Ideals of Γ-Semigroups |
| title_sort | on inf hesitant fuzzy γ ideals of γ semigroups |
| url | http://dx.doi.org/10.1155/2022/9755894 |
| work_keys_str_mv | AT pongpunjulatha oninfhesitantfuzzygidealsofgsemigroups AT aiyarediampan oninfhesitantfuzzygidealsofgsemigroups |