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LUKASIEWICZ ANTI FUZZY SUBALGEBRAS OF BCK/BCI-ALGEBRASopen access
- Authors
- Kang, Jeong Gi; Bordbar, Hashem
- Issue Date
- Dec-2024
- Publisher
- University of Kragujevac, Faculty of Science
- Keywords
- Anti fuzzy subalgebra; Lukasiewicz anti fuzzy set; Lukasiewicz anti fuzzy subalgebra; <-subset; Upsilon-subset; anti subset; anti subset
- Citation
- Kragujevac Journal of Mathematics, v.49, no.5, pp 687 - 696
- Pages
- 10
- Indexed
- SCOPUS
ESCI
- Journal Title
- Kragujevac Journal of Mathematics
- Volume
- 49
- Number
- 5
- Start Page
- 687
- End Page
- 696
- ISSN
- 1450-9628
2406-3045
- Abstract
- The subalgebra of BCK/BCI-algebra using Lukasiewicz anti fuzzy set introduced by Jun is studied in this article. The concept of Lukasiewicz anti fuzzy subalgebra of a BCK/BCI-algebra is introduced, and several properties are investigated. The relationship between anti fuzzy subalgebra and Lukasiewicz anti fuzzy subalgebra is given, and characterization of a Lukasiewicz 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, Upsilon subset, and anti-subset become subalgebra are explored.
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