논문KCI 등재
Fuzzy set theory applied to implicative ideals in $BCK$-algebras
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Abstract
As a continuation of [4], characterizations of fuzzy im-plicative ideals are given. An extension property for fuzzy implica-tive ideals is established. We prove that the family of fuzzy implica-tive ideals is a completely distributive lattice. Using level subsets ofa BCK -algebraX with respect to a fuzzy setA in X , we constructa fuzzy implicative ideal ofX containing A.
참고문헌 (6)
- "On ideals in $BCK$-algebras", pp.1~ (1975), } Math. Sem. Notes Kobe Univ. \textbf
- "An introduction to the theory of $BCK$-algebras", pp.1~ (1978)
- "Characterizations of fuzzy positive implicative ideals in $BCK$-algebras", pp.503~ (1994)
- "Fuzzy implicative ideals in $BCK$-algebras", 26(2), pp.119~124 (1995)
- "Fuzzy commutative ideals of $BCK$-algebras", pp.401~ (1994)
- "Quotient $BCK$-algebras induced by a fuzzy ideal", 23(2), pp.243~251 (1999)
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