TOPOLOGICAL REPRESENTATION FOR FUZZY TOPOLOGICAL-SPACES

EROGLU M.

FUZZY SETS AND SYSTEMS, cilt.42, sa.3, ss.355-362, 1991 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 3
  • Basım Tarihi: 1991
  • Doi Numarası: 10.1016/0165-0114(91)90114-6
  • Dergi Adı: FUZZY SETS AND SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.355-362
  • Karadeniz Teknik Üniversitesi Adresli: Hayır

Özet

Let L be a completely distributive complete lattice with universal bounds 0 and 1 such that 0 not-equal 1. Let us denote by X*(L) the set of all prime proper filters of L. To every L-fuzzy topological space (X, tau) one can associate a topological space (X*(L), T*). One obtains a covariant functor from the category CG(L) into the category of topological spaces. We discuss further how far one can go in this direction following ideas in [2].