Ditopological texture spaces and intuitionistic sets

BROWN L., Diker M.

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

  • Publication Type: Article / Article
  • Volume: 98 Issue: 2
  • Publication Date: 1998
  • Doi Number: 10.1016/s0165-0114(97)00358-8
  • Title of Journal : FUZZY SETS AND SYSTEMS
  • Page Numbers: pp.217-224

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.