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Linear Diophantine fuzzy BE-algebras
- Authors
- Ozturk, M.A.; Yilmaz, D.; Jun, Y.B.
- Issue Date
- Jun-2025
- Publisher
- University of Hatef
- Keywords
- weak linear Diophantine fuzzy BE-algebra; Weak linear Diophantine fuzzy set; weak linear Diophantine level set
- Citation
- Journal of Algebraic Hyperstructures and Logical Algebras, v.6, no.1, pp 147 - 158
- Pages
- 12
- Indexed
- SCOPUS
- Journal Title
- Journal of Algebraic Hyperstructures and Logical Algebras
- Volume
- 6
- Number
- 1
- Start Page
- 147
- End Page
- 158
- ISSN
- 2676-6019
2676-6019
- Abstract
- To apply linear Diophantine fuzzy sets to (logical) algebraic structures, in particular BE-algebra, the concept of weak linear Diophantine fuzzy BE-algebras is introduced, and its related properties are investigated. The conditions for the weak linear Diophantine fuzzy set to be a weak linear Diophantine fuzzy BE-algebra are explored. The role of reference parameters is given in the process that weak linear Diophantine level sets of a weak linear Diophantine fuzzy BE-algebra become subalgebras. The homomorphic preimage and image of a weak linear Diophantine fuzzy BE-algebra are proven to be weak linear Diophantine fuzzy BE-algebras. A new weak linear Diophantine fuzzy set consists of a combination of a given weak linear Diophantine fuzzy set and homomorphism, and then the relationship between given a weak linear Diophantine fuzzy set and a new weak linear Diophantine fuzzy set for the possibility of weak linear Diophantine fuzzy BE-algebra is explored.
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