Cubic Bipolar Fuzzy Ideals with Thresholds (α, β), ( ω ,ϑ) of a Semigroup in  KU-algebra

Omniat Adnan  Hasan; fatema faisal kareem

doi:10.30526/35.2.2724

Authors

Omniat Adnan Hasan Department of Mathematics, College of Education for Pure Sciences, Ibn Al Haitham,University of Baghdad, Iraq
fatema faisal kareem Department of Mathematics, College of Education for Pure Sciences, Ibn Al Haitham,University of Baghdad,

DOI:

https://doi.org/10.30526/35.2.2724

Keywords:

A KU-semigroup; cubic ideal; cubic bipolar fuzzy k ideal; thresholds (α, β), (ω,ϑ).

Abstract

In this paper, we introduce the concept of cubic bipolar-fuzzy ideals with thresholds (α,β),(ω,ϑ) of a semigroup in KU-algebra as a generalization of sets and in short (CBF). Firstly, a (CBF) sub-KU-semigroup with a threshold (α,β),(ω,ϑ) and some results in this notion are achieved. Also, (cubic bipolar fuzzy ideals and cubic bipolar fuzzy k-ideals) with thresholds (α,β),(ω ,ϑ) are defined and some properties of these ideals are given. Relations between a (CBF).sub algebra and-a (CBF) ideal are proved. A few characterizations of a (CBF) k-ideal with thresholds (α, β), (ω,ϑ) are discussed. Finally, we proved that a (CBF) k-ideal and a (CBF) ideal with thresholds (α, β), (ω,ϑ) of a KU-semi group are equivalent relations.

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