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

Main Article Content

Omniat Adnan Hasan
fatema faisal kareem

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.

Article Details

How to Cite
Cubic Bipolar Fuzzy Ideals with Thresholds (α, β), ( ω ,ϑ) of a Semigroup in KU-algebra. (2022). Ibn AL-Haitham Journal For Pure and Applied Sciences, 35(2), 47-58. https://doi.org/10.30526/35.2.2724
Section
Mathematics

How to Cite

Cubic Bipolar Fuzzy Ideals with Thresholds (α, β), ( ω ,ϑ) of a Semigroup in KU-algebra. (2022). Ibn AL-Haitham Journal For Pure and Applied Sciences, 35(2), 47-58. https://doi.org/10.30526/35.2.2724

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