Compact and bounded sets in intuitionistic fuzzy metric spaces

EFE H., ALACA C.

Demonstratio Mathematica, cilt.40, sa.2, ss.449-456, 2007 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 2
  • Basım Tarihi: 2007
  • Dergi Adı: Demonstratio Mathematica
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.449-456
  • Anahtar Kelimeler: Intuitionistic fuzzy metric space, Q-boundedness, Semiboundedness, Totally boundedness, Uniform space
  • Manisa Celal Bayar Üniversitesi Adresli: Hayır

Özet

The purpose of this paper is to define q-bounded, semi-bounded, totally bounded, and unbounded sets in an intuitionistic fuzzy metric space X and study the relation between F-bounded sets and the above mentioned sets and prove that the statements (a) X is compact (b) X is sequentially compact and (c) X is complete and totally bounded are all equivalent in an intuitionistic fuzzy metric space X.