A STUDY ON BIPOLAR COMPLEX FUZZY IDEALS IN γ-SEMIRINGS

Abstract

This paper aspects on bipolar complex fuzzy subsets within the framework of -semirings and explains how they behave under the standard operations of the structure. In developing this viewpoint, we introduce the bipolar complex fuzzy bi-ideals and quasi-ideals, and emphasize the essential features that distinguish each of them. To clarify how these notions, operate in practice, we examine their positive and negative cut sets and show how these cuts link the fuzzy setting with the corresponding classical ideals. A few brief examples are included to illustrate the use of the definitions. We also investigated and established a few results by using our new definitions.