An a-Ideal of BCI-Algebras in Connection with Multipolar Fuzzy Sets

Abstract

The notion of a k-polar (is an element of, is an element of)-fuzzy a-ideal is introduced, and its properties are investigated. The relationship between k-polar fuzzy subalgebra, k-polar fuzzy ideal, and k-polar (is an element of, is an element of)-fuzzy a-ideal is examined. Conditions for a k-polar fuzzy ideal to be a k-polar (is an element of, is an element of)-fuzzy a-ideal are provided. The relationship between k-polar (is an element of, is an element of)-fuzzy p-ideal, k-polar (is an element of, is an element of)-fuzzy q-ideal, and k-polar (is an element of, is an element of)-fuzzy a-ideal is shown. The normal k-polar (is an element of, is an element of)-fuzzy a-ideal is introduced, and its characterizations are considered. Characterizations and extension property of a k-polar (is an element of, is an element of)-fuzzy a-ideal are discussed.