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FUZZY GE-FILTERS OF GE-ALGEBRASopen access
- Issue Date
- Jan-2025
- Publisher
- Faculty of Mathematical Sciences | University of Guilan
- Keywords
- fuzzy GE-algebra; fuzzy GE-filter; Q<sub>t</sub>-set; ϵ<sub>t</sub>-set
- Citation
- Journal of Algebra and Related Topics, v.12, no.2, pp 1 - 15
- Pages
- 15
- Indexed
- SCOPUS
- Journal Title
- Journal of Algebra and Related Topics
- Volume
- 12
- Number
- 2
- Start Page
- 1
- End Page
- 15
- ISSN
- 2345-3931
- Abstract
- In this paper, notions of ϵt-set and Qt-set of a fuzzy set f in a GE-algebra X are introduced and defined fuzzy GE-algebra in terms of ϵt-set. We provided conditions for the ϵt-set and Qt-set of a fuzzy set f to be GE-subalgebras of X. We provided conditions for a fuzzy set in a GE-algebra to be a fuzzy GE-algebra. The concept of fuzzy GE-filter of a GE-algebra is introduced and investigated its properties. We explored the conditions under which the ϵt-set and Qt-set can be GE-filters. Some characterizations of fuzzy GE-filters of GE-algebras are given. © 2025, University of Guilan. All rights reserved.
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