Near Groups of Weak Cosets on Nearness Approximation Spaces

Ozturk M. A., Uckun M., Inan E.

FUNDAMENTA INFORMATICAE, vol.133, no.4, pp.433-448, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 133 Issue: 4
  • Publication Date: 2014
  • Doi Number: 10.3233/fi-2014-1085
  • Journal Name: FUNDAMENTA INFORMATICAE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.433-448
  • Kayseri University Affiliated: No

Abstract

In this paper, we consider the problem of how to establish algebraic structures of near sets on nearness approximation spaces. Essentially, our approach is define the near group of all weak cosets by considering an operation on the set of all weak cosets. Afterwards, our aim is to study near homomorphism theorems on near groups, and investigate some properties of near groups.