m-polar fuzzy q-ideals in BCI-algebras

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.