ON BIPOLAR FUZZY IDEALS OF SEMIRINGS WITH THRESHOLDS

Abstract

In this paper, the fundamental concept of bipolar fuzzy ideals and their key features are investigated. The concept of bipolar fuzzy ideals with thresholds [( , ),( , )] in semirings are introduced, which extends the definition of ideals to incorporate a more flexible representation of membership degrees, and also various properties and important results of ideals of semirings are investigated in bipolar fuzzy settings.