Fuzzy positive implicative ideals of BCK-algebras based on the theory of falling shadows

doi:10.1016/j.camwa.2010.10.029

Computers & Mathematics with Applications

Volume 61, Issue 1, January 2011, Pages 62-67

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Abstract

On the basis of the theory of a falling shadow, the notion of a falling fuzzy positive implicative ideal of a BCK-algebra is introduced. Relations between falling fuzzy positive implicative ideals and falling fuzzy ideals are given. Relations between fuzzy positive implicative ideals and falling fuzzy positive implicative ideals are provided.

Keywords

Falling shadow

(Positive implicative) ideal

Fuzzy (positive implicative) ideal

Falling fuzzy (positive implicative) ideal