On Tripolar Fuzzy Pure Ideals in Ordered Semigroups
Tripolar fuzzy sets are a concept that deals with tripolar information. This idea is a generalization of bipolar and intuitionistic fuzzy sets. In this paper, the notions of tripolar fuzzy pure ideals in ordered semigroups are introduced, and some algebraic properties of tripolar fuzzy pure ideals a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2022-09-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/2631 |
| _version_ | 1811187429155012608 |
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| author | Nuttapong Wattanasiripong Jirapong Mekwian Hataikhan Sanpan Somsak Lekkoksung |
| author_facet | Nuttapong Wattanasiripong Jirapong Mekwian Hataikhan Sanpan Somsak Lekkoksung |
| author_sort | Nuttapong Wattanasiripong |
| collection | DOAJ |
| description | Tripolar fuzzy sets are a concept that deals with tripolar information. This idea is a generalization of bipolar and intuitionistic fuzzy sets. In this paper, the notions of tripolar fuzzy pure ideals in ordered semigroups are introduced, and some algebraic properties of tripolar fuzzy pure ideals are studied. We obtain some characterizations of weakly regular ordered semigroups in terms of tripolar fuzzy pure ideals. Finally, we introduce the concepts of tripolar weakly pure ideals and prove that the tripolar fuzzy ideals are tripolar weakly pure ideals if such tripolar fuzzy ideals satisfy the idempotent property. |
| first_indexed | 2024-04-11T14:02:11Z |
| format | Article |
| id | doaj.art-0f28ccd51af544aa8b6282a9dbf1ad6c |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-04-11T14:02:11Z |
| publishDate | 2022-09-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-0f28ccd51af544aa8b6282a9dbf1ad6c2022-12-22T04:20:01ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392022-09-0120494910.28924/2291-8639-20-2022-492016On Tripolar Fuzzy Pure Ideals in Ordered SemigroupsNuttapong WattanasiripongJirapong MekwianHataikhan SanpanSomsak LekkoksungTripolar fuzzy sets are a concept that deals with tripolar information. This idea is a generalization of bipolar and intuitionistic fuzzy sets. In this paper, the notions of tripolar fuzzy pure ideals in ordered semigroups are introduced, and some algebraic properties of tripolar fuzzy pure ideals are studied. We obtain some characterizations of weakly regular ordered semigroups in terms of tripolar fuzzy pure ideals. Finally, we introduce the concepts of tripolar weakly pure ideals and prove that the tripolar fuzzy ideals are tripolar weakly pure ideals if such tripolar fuzzy ideals satisfy the idempotent property.http://etamaths.com/index.php/ijaa/article/view/2631 |
| spellingShingle | Nuttapong Wattanasiripong Jirapong Mekwian Hataikhan Sanpan Somsak Lekkoksung On Tripolar Fuzzy Pure Ideals in Ordered Semigroups International Journal of Analysis and Applications |
| title | On Tripolar Fuzzy Pure Ideals in Ordered Semigroups |
| title_full | On Tripolar Fuzzy Pure Ideals in Ordered Semigroups |
| title_fullStr | On Tripolar Fuzzy Pure Ideals in Ordered Semigroups |
| title_full_unstemmed | On Tripolar Fuzzy Pure Ideals in Ordered Semigroups |
| title_short | On Tripolar Fuzzy Pure Ideals in Ordered Semigroups |
| title_sort | on tripolar fuzzy pure ideals in ordered semigroups |
| url | http://etamaths.com/index.php/ijaa/article/view/2631 |
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