Some properties in bipolar intuitionistic \(\Omega \)-fuzzy ideals over semigroups

Abstract

Given the concept of bipolar intuitionistic fuzzy set and a set \(\Omega ,\) The concept of a bipolar intuitionistic \(\Omega \)-fuzzy right (left) ideal, a bipolar intuitionistic \(\Omega \)-fuzzy bi-ideals and a bipolar intuitionistic \(\Omega \)-fuzzy ideal, a bipolar (1, 2)-ideals in semigroup are discussed and some results and properties are introduced. Using bipolar intuitionistic fuzzy bi-ideal, a bipolar intuitionistic \(\Omega \)-fuzzy bi-ideals constructed. We discuss some theorems and properties on their concepts and some results are explored.