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http://dx.doi.org/10.14403/jcms.2020.33.4.395

FUZZY ε-SUBALGEBRAS (IDEALS) IN BCI-ALGEBRAS  

Jun, Young Bae (Department of Mathematics Education Gyeongsang National University)
Lee, Kyoung Ja (Department of Mathematics Education Hannam University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.33, no.4, 2020 , pp. 395-404 More about this Journal
Abstract
Based on a sub-BCK-algebra K of a BCI-algebra X, the notions of fuzzy (K, ε)-subalgebras, fuzzy (K, ε)-ideals and fuzzy commutative (K, ε)-ideals are introduced, and their relations/properties are investigated. Conditions for a fuzzy subalgebra/ideal to be a fuzzy (K, ε)-subalgebra/ideal are provided.
Keywords
sub-BCK-algebra; fuzzy subalgebra (ideal); fuzzy (K, ${\varepsilon}$)-subalgebra (ideal); fuzzy commutative (K, ${\varepsilon}$)-ideal;
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1 Y. Imai, K. Iseki, On axiom systems of propositional calculi. XIV, Proc. Japan Acad., 42 (1966), 19-22.   DOI
2 K. Iseki, An algebra related with a propositional calculus, Proc. Japan Acad., 42 (1966), 26-29.   DOI
3 J. Meng, Y. B. Jun, BCK-algebras, Kyungmoon Sa Co., Seoul, 1994
4 Y. S. Huang, BCI-algebra, Science Press, China, 2006.
5 K. Iseki, Some examples of BCI-algebras, Math. Seminar Notes, 8 (1980), 237-240.
6 L. A. Zadeh, Toward a generalized theory of uncertainty (GTU)-an outline, Inform. Sci., 172 (2005), 1-40.   DOI
7 L. A. Zadeh, Fuzzy sets, Inform. Contr., 8 (1965) 338-353.   DOI