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Strong fuzzy GE-filters and fuzzy GE-ideals of bordered GE-algebrasopen access
- Issue Date
- Jan-2023
- Publisher
- Walter de Gruyter GmbH
- Keywords
- bordered GE-algebras; fuzzy GE-filters; fuzzy GE-ideals; GE-algebras
- Citation
- Topological Algebra and its Applications, v.11, no.1
- Indexed
- SCOPUS
- Journal Title
- Topological Algebra and its Applications
- Volume
- 11
- Number
- 1
- ISSN
- 2299-3231
- Abstract
- 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. © 2023 the author(s), published by De Gruyter.
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