Strong fuzzy GE-filters and fuzzy GE-ideals of bordered GE-algebras
The notion of strong fuzzy generalized exchange (GE)-filters and fuzzy GE-ideals of bordered GE-algebras is studied, and their related properties are investigated. We proved that the intersection of strong fuzzy GE-filters (fuzzy GE-ideals) is a strong fuzzy GE-filter (fuzzy GE-ideal). We studied th...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-12-01
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| Series: | Topological Algebra and its Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/taa-2023-0104 |
| _version_ | 1797397448406073344 |
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| author | Alemayehu Teferi Getachew Eshetie Workaferahu Solomon Bandaru Ravikumar Jun Young Bae |
| author_facet | Alemayehu Teferi Getachew Eshetie Workaferahu Solomon Bandaru Ravikumar Jun Young Bae |
| author_sort | Alemayehu Teferi Getachew |
| collection | DOAJ |
| description | The notion of strong fuzzy generalized exchange (GE)-filters and fuzzy GE-ideals of bordered GE-algebras is studied, and their related properties are investigated. We proved that the intersection of strong fuzzy GE-filters (fuzzy GE-ideals) is a strong fuzzy GE-filter (fuzzy GE-ideal). We studied the conditions for a fuzzy subset of a bordered GE-algebra to be a strong fuzzy GE-filter and the characterization of a strong fuzzy GE-filter. We studied that under some conditions, any fuzzy subset of a bordered GE-algebra can be a fuzzy GE-ideal. A given fuzzy GE-ideal and an element in a bordered fuzzy GE-algebra is established. |
| first_indexed | 2024-03-09T01:10:09Z |
| format | Article |
| id | doaj.art-e65709e34e1f4d9baf00d684d2ee4711 |
| institution | Directory Open Access Journal |
| issn | 2299-3231 |
| language | English |
| last_indexed | 2024-03-09T01:10:09Z |
| publishDate | 2023-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Topological Algebra and its Applications |
| spelling | doaj.art-e65709e34e1f4d9baf00d684d2ee47112023-12-11T07:37:08ZengDe GruyterTopological Algebra and its Applications2299-32312023-12-01111313910.1515/taa-2023-0104Strong fuzzy GE-filters and fuzzy GE-ideals of bordered GE-algebrasAlemayehu Teferi Getachew0Eshetie Workaferahu Solomon1Bandaru Ravikumar2Jun Young Bae3Department of Mathematics, Debre Berhan University, 445 Debre Berhan, EthiopiaDepartment of Mathematics, Debre Berhan College of Education, 445 Debre Berhan, EthiopiaDepartment of Mathematics, School of Advanced Sciences, VIT-AP University, Andhra Pradesh 522237, IndiaDepartment of Mathematics Education, Gyeongsang National University, Jinju 52828, KoreaThe notion of strong fuzzy generalized exchange (GE)-filters and fuzzy GE-ideals of bordered GE-algebras is studied, and their related properties are investigated. We proved that the intersection of strong fuzzy GE-filters (fuzzy GE-ideals) is a strong fuzzy GE-filter (fuzzy GE-ideal). We studied the conditions for a fuzzy subset of a bordered GE-algebra to be a strong fuzzy GE-filter and the characterization of a strong fuzzy GE-filter. We studied that under some conditions, any fuzzy subset of a bordered GE-algebra can be a fuzzy GE-ideal. A given fuzzy GE-ideal and an element in a bordered fuzzy GE-algebra is established.https://doi.org/10.1515/taa-2023-0104ge-algebrasbordered ge-algebrasfuzzy ge-filtersfuzzy ge-ideals06f3503g2508a30 |
| spellingShingle | Alemayehu Teferi Getachew Eshetie Workaferahu Solomon Bandaru Ravikumar Jun Young Bae Strong fuzzy GE-filters and fuzzy GE-ideals of bordered GE-algebras Topological Algebra and its Applications ge-algebras bordered ge-algebras fuzzy ge-filters fuzzy ge-ideals 06f35 03g25 08a30 |
| title | Strong fuzzy GE-filters and fuzzy GE-ideals of bordered GE-algebras |
| title_full | Strong fuzzy GE-filters and fuzzy GE-ideals of bordered GE-algebras |
| title_fullStr | Strong fuzzy GE-filters and fuzzy GE-ideals of bordered GE-algebras |
| title_full_unstemmed | Strong fuzzy GE-filters and fuzzy GE-ideals of bordered GE-algebras |
| title_short | Strong fuzzy GE-filters and fuzzy GE-ideals of bordered GE-algebras |
| title_sort | strong fuzzy ge filters and fuzzy ge ideals of bordered ge algebras |
| topic | ge-algebras bordered ge-algebras fuzzy ge-filters fuzzy ge-ideals 06f35 03g25 08a30 |
| url | https://doi.org/10.1515/taa-2023-0104 |
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