Fuzzy Sub Implicative Ideals of KU-Algebras

Year 2018, Issue: 23, 1 - 12, 01.06.2018

Samy Mohammed Mostafa Ola Wageeh Baseer

Abstract

We consider the fuzzification of sub-implicative (sub-commutative) ideals in KU-algebras, and
investigate some related properties. We give conditions for a fuzzy ideal to be a fuzzy sub-implicative (subcommutative)
ideal. We show that any fuzzy sub-implicative (sub-commutative) ideal is a fuzzy ideal, but
the converse is not true. Using a level set of a fuzzy set in a KU-algebra; we give a characterization of a fuzzy
sub-implicative (sub-commutative) ideal. 

Keywords

KU-algebras, fuzzy sub implicative ideals, fuzzy sub-commutative

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