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