Multipolar fuzzy a-ideals in BCI-algebras

Abstract

The notion of an m-polar (∈ , ∈) -fuzzy a-ideal is introduced, and its properties are investigated. The relationship between m-polar fuzzy subalgebra, m-polar fuzzy ideal, and m-polar (∈ , ∈) -fuzzy a-ideal is examined. Conditions for an m-polar fuzzy ideal to be an m-polar (∈ , ∈) -fuzzy a-ideal are provided. The relationship between m-polar (∈ , ∈) -fuzzy p-ideal, m-polar (∈ , ∈) -fuzzy q-ideal, and m-polar (∈ , ∈) -fuzzy a-ideal is shown. The normal m-polar (∈ , ∈) -fuzzy a-ideal is introduced, and its characterizations are considered. Characterizations and extension property of an m-polar (∈ , ∈) -fuzzy a-ideal are discussed.