FUZZY SET THEORY APPLIED TO IMPLICATIVE IDEALS IN BCK-ALGEBRAS

Title & Authors
FUZZY SET THEORY APPLIED TO IMPLICATIVE IDEALS IN BCK-ALGEBRAS
Jun, Young-Bae; Song, Seok-Zun;

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 $\small{\={A}}$ in X, we construct a fuzzy implicative ideal of X containing $\small{\={A}}$.
Keywords
(fuzzy) ideal;(fuzzy) implicative ideal;
Language
English
Cited by
1.
FUZZY TRANSLATIONS AND FUZZY MULTIPLICATIONS OF BCK/BCI-ALGEBRAS,;;;

대한수학회논문집, 2009. vol.24. 3, pp.353-360
1.
Soft Translations and Soft Extensions of BCI/BCK-Algebras, The Scientific World Journal, 2014, 2014, 1
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