| Title: | ŁUKASIEWICZ ANTI FUZZY SUBALGEBRAS OF BCK/BCI-ALGEBRAS |
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| Authors: | ID Kang, Jeong Gi, Gyeongsang National University (Author)
ID Bordbar, Hashem, University of Nova Gorica (Author) |
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| Files: |
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | UNG - University of Nova Gorica
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| Abstract: | Abstract. The subalgebra of BCK/BCI-algebra using Łukasiewicz anti fuzzy set
introduced by Jun is studied in this article. The concept of Łukasiewicz anti
fuzzy subalgebra of a BCK/BCI-algebra is introduced, and several properties are
investigated. The relationship between anti fuzzy subalgebra and Łukasiewicz anti
fuzzy subalgebra is given, and the characterization of a Łukasiewicz anti fuzzy subalgebra
is discussed. Conditions are found in which a Lukasiewicz anti fuzzy set is a
Lukasiewicz anti fuzzy subalgebra Finally, conditions under which ⋖-subset, Υ- subset, and anti-subset become subalgebra are explored. |
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| Keywords: | Anti fuzzy subalgebra, Łukasiewicz anti fuzzy set, Łukasiewicz anti fuzzy subalgebra, ⋖-subset, Υ-subset, anti subset |
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| Publication version: | Version of Record |
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| Year of publishing: | 2025 |
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| Number of pages: | 687-696 |
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| Numbering: | 5, 49 |
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| PID: | 20.500.12556/RUNG-7986 |
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| COBISS.SI-ID: | 142357763 |
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| NUK URN: | URN:SI:UNG:REP:7HQGYY43 |
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| Publication date in RUNG: | 20.02.2023 |
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| Views: | 1767 |
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| Downloads: | 0 |
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