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m-polar fuzzy q-ideals in BCI-algebras

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Abstract In a BCI-algebra, the notion of m-polar ( ∈ , ∈ ) -fuzzy q-ideal is introduced, and its properties are investigated. Relations between m-polar ( ∈ , ∈ )… Click to show full abstract

Abstract In a BCI-algebra, the notion of m-polar ( ∈ , ∈ ) -fuzzy q-ideal is introduced, and its properties are investigated. Relations between m-polar ( ∈ , ∈ ) -fuzzy q-ideal and m-polar fuzzy ideal/subalgebra are discussed. Characterizations of m-polar ( ∈ , ∈ ) -fuzzy q-ideal are considered. The extension property about the m-polar ( ∈ , ∈ ) -fuzzy q-ideal is established. Homomorphic image and preimage of m-polar ( ∈ , ∈ ) -fuzzy q-ideal are discussed. Characterizations of a quasi-associative BCI-algebras are provided by using m-polar ( ∈ , ∈ ) -fuzzy q-ideal.

Keywords: bci algebras; fuzzy ideal; fuzzy ideals; polar fuzzy

Journal Title: Journal of King Saud University - Science
Year Published: 2020

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