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Lukasiewicz fuzzy BE-algebras and BE-filters
- Authors
- Jun, Young Bae; Ahn, Sun Shin
- Issue Date
- Jul-2022
- Publisher
- New York Business Global
- Keywords
- Lukasiewicz fuzzy BE-algebra; Lukasiewicz fuzzy BE-filter; is an element of-set; q-set; O-set
- Citation
- European Journal of Pure and Applied Mathematics, v.15, no.3, pp 924 - 937
- Pages
- 14
- Indexed
- SCOPUS
ESCI
- Journal Title
- European Journal of Pure and Applied Mathematics
- Volume
- 15
- Number
- 3
- Start Page
- 924
- End Page
- 937
- ISSN
- 1307-5543
- Abstract
- By applying the concept of Lukasiewicz fuzzy set to BE-algebras, the notions of Lukasiewicz fuzzy BE-algebra and Lukasiewicz fuzzy BE-filter are introduced, and their properties are investigated. Characterizations of Lukasiewicz fuzzy BE-algebra and Lukasiewicz fuzzy BE-filter are discussed, and the relationship between fuzzy BE-algebra (resp., fuzzy BE-filter) and Lukasiewicz fuzzy BE-algebra (resp., Lukasiewicz fuzzy BE-filter) is established. The conditions for the.-set, q-set and O-set of Lukasiewicz fuzzy set to be BE-subalgebras are explored. Lukasiewicz fuzzy BE-filter is created by using BE-filter.
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