Topological properties of the class of generators of an indistinguishability operator

Demirci M.

FUZZY SETS AND SYSTEMS, vol.143, no.3, pp.413-426, 2004 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 143 Issue: 3
  • Publication Date: 2004
  • Doi Number: 10.1016/s0165-0114(03)00181-7
  • Journal Name: FUZZY SETS AND SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.413-426
  • Keywords: topology, fuzzy topology, indistinguishability operator, fuzzy equality, pseudo-metrizability, metrizability
  • Akdeniz University Affiliated: Yes

Abstract

The present paper investigates the relations between topologies in the classical sense, fuzzy topologies in Lowen's sense and indistinguishability operators as well as constructing topologies and fuzzy topologies by means of indistinguishability operators. Furthermore, as a particular consequence of the results in this paper, a characterization theorem for pseudo-metrizable topological spaces in the classical sense is also surprisingly obtained. (C) 2003 Elsevier B.V. All rights reserved.