# 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)
• Published : 2006.08.01
• 108 9

#### 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

#### References

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#### Cited by

1. Soft Translations and Soft Extensions of BCI/BCK-Algebras vol.2014, 2014, https://doi.org/10.1155/2014/536709