m-polar fuzzy q-ideals in BCI-algebras

Abstract

In a BCI-algebra, the notion of m-polar (is an element of, is an element of)-fuzzy q-ideal is introduced, and its properties are investigated. Relations between m-polar (is an element of, is an element of)-fuzzy q-ideal and m-polar fuzzy ideal/subalgebra are discussed. Characterizations of m-polar (is an element of, is an element of)-fuzzy q-ideal are considered. The extension property about the m-polar (is an element of, is an element of)-fuzzy q-ideal is established. Homomorphic image and preimage of m-polar (is an element of, is an element of)-fuzzy qideal are discussed. Characterizations of a quasi-associative BCI-algebras are provided by using m-polar (is an element of, is an element of)-fuzzy q-ideal. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of King Saud University.