Ditopological texture spaces and intuitionistic sets

BROWN L., Diker M.

FUZZY SETS AND SYSTEMS, vol.98, no.2, pp.217-224, 1998 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 98 Issue: 2
  • Publication Date: 1998
  • Doi Number: 10.1016/s0165-0114(97)00358-8
  • Journal Name: FUZZY SETS AND SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.217-224
  • Hacettepe University Affiliated: Yes

Abstract

In this paper it is shown that the lattice of intuitionistic subsets of a set X in the sense of D. Coker may be represented as a special type of texture space, called an intuitionistic texture on X, and various characterizations are given. It is established that intuitionistic topologies are mapped to ditopologies on the corresponding texture, and some notions of compactness and stability are considered. (C) 1998 Elsevier Science B.V. All rights reserved.