Topological properties of the class of generators of an indistinguishability operator

Demirci M.

FUZZY SETS AND SYSTEMS, cilt.143, sa.3, ss.413-426, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 143 Sayı: 3
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/s0165-0114(03)00181-7
  • Dergi Adı: FUZZY SETS AND SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.413-426
  • Anahtar Kelimeler: topology, fuzzy topology, indistinguishability operator, fuzzy equality, pseudo-metrizability, metrizability
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.