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http://dx.doi.org/10.4134/BKMS.2006.43.3.461

FUZZY SET THEORY APPLIED TO IMPLICATIVE IDEALS IN BCK-ALGEBRAS  

Jun, Young-Bae (Department of Mathematics Education(and RINS), Gyeongsang National University)
Song, Seok-Zun (Department of Mathematics, Cheju National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.43, no.3, 2006 , pp. 461-470 More about this Journal
Abstract
As a continuation of [4], characterizations of fuzzy implicative ideals are given. An extension property for fuzzy implicative ideals is established. We prove that the family of fuzzy implicative ideals is a completely distributive lattice. Using level subsets of a BCk-algebra X with respect to a fuzzy set $\={A}$ in X, we construct a fuzzy implicative ideal of X containing $\={A}$.
Keywords
(fuzzy) ideal; (fuzzy) implicative ideal;
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Times Cited By SCOPUS : 2
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