Multipolar Fuzzy <i>p</i>-Ideals of BCI-Algebras

Abstract

The notion of (normal) m-polar (is an element of, is an element of)-fuzzy p-ideals of BCI-algebras is introduced, and several properties are investigated. Relations between an m-polar (is an element of, is an element of)-fuzzy ideal and an m-polar (is an element of, is an element of)-fuzzy p-ideal are displayed, and conditions for an m-polar (is an element of, is an element of)-fuzzy ideal to be an m-polar (is an element of, is an element of)-fuzzy p-ideal are provided. Characterization of m-polar (is an element of, is an element of)-fuzzy p-ideals are considered. Given an m-polar (is an element of, is an element of)-fuzzy ideal (resp., m-polar (is an element of, is an element of)-fuzzy p-ideal), a normal m-polar (is an element of, is an element of)-fuzzy ideal (resp., normal m-polar (is an element of, is an element of)-fuzzy p-ideal) is established. Using an m-polar (is an element of, is an element of)-fuzzy ideal, the quotient structure of BCI-algebras is constructed.