摘要:AbstractIn a BCI-algebra, the notion ofm-polar(∈,∈)-fuzzyq-ideal is introduced, and its properties are investigated. Relations betweenm-polar(∈,∈)-fuzzyq-ideal andm-polar fuzzy ideal/subalgebra are discussed. Characterizations ofm-polar(∈,∈)-fuzzyq-ideal are considered. The extension property about them-polar(∈,∈)-fuzzyq-ideal is established. Homomorphic image and preimage ofm-polar(∈,∈)-fuzzyq-ideal are discussed. Characterizations of a quasi-associative BCI-algebras are provided by usingm-polar(∈,∈)-fuzzyq-ideal.