Abstract
In this paper, we provide a generalized form of ideals that is k-ideals of semirings with the combination of a bipolar fuzzy set (BFS). The BFS is a generalization of fuzzy set (FS) that deals with uncertain problems in both positive and negative aspects. The main theme of this paper is to present the idea of alpha,beta-bipolar fuzzy k-subsemiring (k-BFSS), alpha,beta-bipolar fuzzy k-ideals (k-BFIs), and alpha,beta-bipolar fuzzy k-bi-ideals (k-BFbIs) in semirings by applying belongingness (is an element of) and quasi-coincidence q of the bipolar fuzzy (BF) point. After that, upper and lower parts of k-product of BF subsets of semirings are introduced. Lastly, the notions of k-regular and k-intraregular semirings in terms of (is an element of,is an element of, V-q)-k-BFIs and (is an element of,is an element of, V-q)-k-BFbIs are characterized.