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Commutative ideals of BCI-algebras based on Łukasiewicz fuzzy sets
- Authors
- Rezaei, G.R.; Jun, Y.B.
- Issue Date
- Nov-2022
- Publisher
- University of Hatef
- Keywords
- O-set; q-set; Łukasiewicz fuzzy (com-mutative) ideal; Łukasiewicz fuzzy set; Łukasiewicz fuzzy subalge-bra; ∈-set
- Citation
- Journal of Algebraic Hyperstructures and Logical Algebras, v.3, no.4, pp 25 - 36
- Pages
- 12
- Indexed
- SCOPUS
- Journal Title
- Journal of Algebraic Hyperstructures and Logical Algebras
- Volume
- 3
- Number
- 4
- Start Page
- 25
- End Page
- 36
- ISSN
- 2676-6019
- Abstract
- With the aim of applying the Łukasiewicz fuzzy set to commutative ideal in BCI-algebras, the concept of Łukasiewicz fuzzy commutative ideal is introduced, and its properties are inves-tigated. The relationship between a Łukasiewicz fuzzy ideal and a Łukasiewicz fuzzy commutative ideal are discussed. Af-ter providing an example of a Łukasiewicz fuzzy ideal, not a Łukasiewicz fuzzy commutative ideal, conditions under which a Łukasiewicz fuzzy ideal can be a Łukasiewicz fuzzy commutative ideal are explored. Characterizations of Łukasiewicz fuzzy commutative ideals are displayed. Conditions under which ∈-set, q-set, and O-set can be commutative ideals are found. © 2022, University of Hatef. All rights reserved.
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