2017/01/26 by Mehmet Ali̇ Öztürk, Öztürk, Mehmet Ali, Ebubeki̇r İnan +1
Computer Science · Decision Sciences · #03E75 #03E99 #20A05 #20E99 #Advanced Algebra and Logic #FOS: Mathematics #Fuzzy and Soft Set Theory #Rings and Algebras (math.RA) #Rough Sets and Fuzzy Logic
paper · pdf · doi:10.48550/arxiv.1701.07684
openalex publication_date 2017/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we consider the problem of how to establish algebraic structures on nearness approximation spaces. Essentially, our approach is to define the nearness ring, nearness ideal and nearness ring of all weak cosets by considering new operations on the set of all weak cosets. Afterwards, our aim is to study nearness homomorphism on nearness approximation spaces, and to investigate some properties of nearness rings and ideals.