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ŁUKASIEWICZ FUZZY IDEALS IN BCK-ALGEBRAS AND BCI-ALGEBRASopen access
- Authors
- Jun, Y.B.
- Issue Date
- Jun-2023
- Publisher
- University of Guilan
- Keywords
- (closed) Łukasiewicz fuzzy ideal; (strong) Łukasiewicz fuzzy subalgebra; O-set; q-set; Łukasiewicz fuzzy set; ∈-set
- Citation
- Journal of Algebra and Related Topics, v.11, no.1, pp 1 - 14
- Pages
- 14
- Indexed
- SCOPUS
- Journal Title
- Journal of Algebra and Related Topics
- Volume
- 11
- Number
- 1
- Start Page
- 1
- End Page
- 14
- ISSN
- 2345-3931
- Abstract
- The notion of (closed) Łukasiewicz fuzzy ideal is introduced, and several properties are investigated. The relationship between Łukasiewicz fuzzy subalgebra and Łukasiewicz fuzzy ideal is discussed, and characterization of a Łukasiewicz fuzzy ideal is considered. Conditions for a Łukasiewicz fuzzy subalgebra to be a Łukasiewicz fuzzy ideal are provided, and conditions for the ∈-set, q-set and O-set to be ideals are explored. © 2023, University of Guilan. All rights reserved.
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