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Łukasiewicz fuzzy positive implicative ideals in BCK-algebras
- Authors
- Song, S.Z.; Jun, Y.B.
- Issue Date
- May-2022
- Publisher
- University of Hatef
- Keywords
- O-set; q-set; Łukasiewicz fuzzy ideal; Łukasiewicz fuzzy positive implicative; Łukasiewicz fuzzy set; ∈-set
- Citation
- Journal of Algebraic Hyperstructures and Logical Algebras, v.3, no.2, pp 47 - 58
- Pages
- 12
- Indexed
- SCOPUS
- Journal Title
- Journal of Algebraic Hyperstructures and Logical Algebras
- Volume
- 3
- Number
- 2
- Start Page
- 47
- End Page
- 58
- ISSN
- 2676-6019
- Abstract
- In BCK-algebras, the notion of Łukasiewicz fuzzy positive implicative ideal is introduced, and several properties are investigated. The relationship between Łukasiewicz fuzzy ideal and Łukasiewicz fuzzy positive implicative ideal is discussed, and characterizations of a Łukasiewicz fuzzy positive implicative ideal are considered. Conditions for a Łukasiewicz fuzzy ideal to be a Łukasiewicz fuzzy positive implicative ideal are provided, and conditions for the ∈-set, q-set and O-set to be positive implicative ideals are explored. © 2022, University of Hatef. All rights reserved.
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