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 (α, β)‐bipolar fuzzy k‐subsemiring (k‐BFSS), (α, β)‐bipolar fuzzy k‐ideals (k‐BFIs), and (α, β)‐bipolar fuzzy k‐bi‐ideals (k‐BFbIs) in semirings by applying belongingness (∈) 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 (∈, ∈∨q)‐k–BFIs and (∈, ∈∨q)‐k–BFbIs are characterized.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
