Textural approach to generalized rough sets based on relations

Diker M.

INFORMATION SCIENCES, cilt.180, sa.8, ss.1418-1433, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 180 Sayı: 8
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.ins.2009.11.032
  • Dergi Adı: INFORMATION SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1418-1433
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.