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Positive implicative BE-filters of BE-algebras based on Łukasiewicz fuzzy sets
- Authors
- Jun, Y.B.
- Issue Date
- May-2023
- Publisher
- University of Hatef
- Keywords
- fpiBE-filter ŁfBEalgebra; O-set; piBE-filter; piŁfBEfilter; q-set; ŁfBE-filter; ϵ-set
- Citation
- Journal of Algebraic Hyperstructures and Logical Algebras, v.4, no.1, pp 1 - 11
- Pages
- 11
- Indexed
- SCOPUS
- Journal Title
- Journal of Algebraic Hyperstructures and Logical Algebras
- Volume
- 4
- Number
- 1
- Start Page
- 1
- End Page
- 11
- ISSN
- 2676-6019
- Abstract
- Łukasiewicz fuzzy set is applied to positive implicative filter of BE-algebra. The notion of positive implicative Łukasiewicz fuzzy BE-filters is introduced, and its properties are investigated. The relationship between fuzzy positive implicative BE-filter and positive implicative Łukasiewicz fuzzy BEfilter is discussed, and conditions under which Łukasiewicz fuzzy BE-filter can be positive implicative Łukasiewicz fuzzy BE-filter are explored. Characterizations of positive implicative Łukasiewicz fuzzy BE-filter are provided. Conditions for Łukasiewicz fuzzy set to be positive implicative Łukasiewicz fuzzy BE-filter are considered. Conditions are found where ϵ-set, q-set, and O-set of the Łukasiewicz fuzzy set can be positive implicative BE-filter. © 2023, University of Hatef. All rights reserved.
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