MathLAB Journal

Tripolar fuzzy sub implicative ideals of KU-Algebras

Abstract

Samy Mohammed Mostafa1*, Reham Ghanem2

The concept Tripolar fuzzy set is a generalization of bipolar fuzzy set, intuitionistic fuzzy set and fuzzy set. In this
paper, the concept Tripolar fuzzy sub implicative ideals of KU-algebras are introduced and several properties are
investigated. Also, the relations between Tripolar fuzzy sub implicative ideals and Tripolar fuzzy ideals are given.
The image and the preimage of Tripolar fuzzy sub implicative ideals under homomorphism of KU-algebras are
defined and how the image and the preimage of Tripolar fuzzy sub implicative ideals under homomorphism of
KU-algebras become Tripolar fuzzy sub implicative ideals are studied. Moreover, the Car tesian product of Tripolar
fuzzy sub implicative ideals in Cartesian product KU-algebras is established.