On properties of generalized bipolar fuzzy semigroups
In this paper, we introduce a generalization of a bipolar fuzzy subsemigroup, namely a (𝛼1, 𝛼2; 𝛽1, 𝛽2)-bipolar fuzzy subsemigroup. The notions of (𝛼1, 𝛼2; 𝛽1, 𝛽2)-bipolar fuzzy left (right, bi-) ideals are discussed. Some necessary and sufficient conditions of (𝛼1, 𝛼2; 𝛽1, 𝛽2)-bipolar fuzzy left...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Prince of Songkla University
2019-04-01
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| Series: | Songklanakarin Journal of Science and Technology (SJST) |
| Subjects: | |
| Online Access: | https://rdo.psu.ac.th/sjstweb/journal/41-2/21.pdf |
| _version_ | 1811276007797161984 |
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| author | Pannawit Khamrot Manoj Siripitukdet |
| author_facet | Pannawit Khamrot Manoj Siripitukdet |
| author_sort | Pannawit Khamrot |
| collection | DOAJ |
| description | In this paper, we introduce a generalization of a bipolar fuzzy subsemigroup, namely a (𝛼1, 𝛼2; 𝛽1, 𝛽2)-bipolar fuzzy
subsemigroup. The notions of (𝛼1, 𝛼2; 𝛽1, 𝛽2)-bipolar fuzzy left (right, bi-) ideals are discussed. Some necessary and sufficient
conditions of (𝛼1, 𝛼2; 𝛽1, 𝛽2)-bipolar fuzzy left (right, bi-) ideals are obtained. Furthermore, any regular semigroup is
characterized in terms of generalized bipolar fuzzy semigroups |
| first_indexed | 2024-04-12T23:48:48Z |
| format | Article |
| id | doaj.art-17593cc751b5428993d65ef67219cb20 |
| institution | Directory Open Access Journal |
| issn | 0125-3395 |
| language | English |
| last_indexed | 2024-04-12T23:48:48Z |
| publishDate | 2019-04-01 |
| publisher | Prince of Songkla University |
| record_format | Article |
| series | Songklanakarin Journal of Science and Technology (SJST) |
| spelling | doaj.art-17593cc751b5428993d65ef67219cb202022-12-22T03:11:46ZengPrince of Songkla UniversitySongklanakarin Journal of Science and Technology (SJST)0125-33952019-04-0141240541310.14456/sjst-psu.2019.51On properties of generalized bipolar fuzzy semigroupsPannawit Khamrot0Manoj Siripitukdet1Department of Mathematics, Faculty of Science, Naresuan University, Mueang, Phitsanulok, 65000 ThailandDepartment of Mathematics, Faculty of Science, Naresuan University, Mueang, Phitsanulok, 65000 ThailandIn this paper, we introduce a generalization of a bipolar fuzzy subsemigroup, namely a (𝛼1, 𝛼2; 𝛽1, 𝛽2)-bipolar fuzzy subsemigroup. The notions of (𝛼1, 𝛼2; 𝛽1, 𝛽2)-bipolar fuzzy left (right, bi-) ideals are discussed. Some necessary and sufficient conditions of (𝛼1, 𝛼2; 𝛽1, 𝛽2)-bipolar fuzzy left (right, bi-) ideals are obtained. Furthermore, any regular semigroup is characterized in terms of generalized bipolar fuzzy semigroupshttps://rdo.psu.ac.th/sjstweb/journal/41-2/21.pdfgeneralized bipolar fuzzy semigroup(𝛼1𝛼2; 𝛽1𝛽2)-bipolar fuzzy subsemigroupfuzzy left (rightbi-) idealregular semigroup |
| spellingShingle | Pannawit Khamrot Manoj Siripitukdet On properties of generalized bipolar fuzzy semigroups Songklanakarin Journal of Science and Technology (SJST) generalized bipolar fuzzy semigroup (𝛼1 𝛼2; 𝛽1 𝛽2)-bipolar fuzzy subsemigroup fuzzy left (right bi-) ideal regular semigroup |
| title | On properties of generalized bipolar fuzzy semigroups |
| title_full | On properties of generalized bipolar fuzzy semigroups |
| title_fullStr | On properties of generalized bipolar fuzzy semigroups |
| title_full_unstemmed | On properties of generalized bipolar fuzzy semigroups |
| title_short | On properties of generalized bipolar fuzzy semigroups |
| title_sort | on properties of generalized bipolar fuzzy semigroups |
| topic | generalized bipolar fuzzy semigroup (𝛼1 𝛼2; 𝛽1 𝛽2)-bipolar fuzzy subsemigroup fuzzy left (right bi-) ideal regular semigroup |
| url | https://rdo.psu.ac.th/sjstweb/journal/41-2/21.pdf |
| work_keys_str_mv | AT pannawitkhamrot onpropertiesofgeneralizedbipolarfuzzysemigroups AT manojsiripitukdet onpropertiesofgeneralizedbipolarfuzzysemigroups |