Textural approach to generalized rough sets based on relations


Diker M.

INFORMATION SCIENCES, vol.180, no.8, pp.1418-1433, 2010 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 180 Issue: 8
  • Publication Date: 2010
  • Doi Number: 10.1016/j.ins.2009.11.032
  • Journal Name: INFORMATION SCIENCES
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.1418-1433

Abstract

This paper presents a discussion on rough set theory from the textural point of view. A texturing is a family of subsets of a given universal set U satisfying certain conditions which are generally basic properties of the power set. The suitable morphisms between texture spaces are given by direlations defined as pairs (r, R) where r is a relation and R is a corelation. It is observed that the presections are natural generalizations for rough sets; more precisely, if (r, R) is a complemented direlation, then the inverse of the relation r (the corelation R) is actually a lower approximation operator (an upper approximation operator). (C) 2009 Elsevier Inc. All rights reserved.