Generated fuzzy metric spaces and some topological properties

Çevik C., Eminoğlu Ş.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, cilt.35, ss.877-885, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3233/jifs-171591
  • Dergi Adı: JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.877-885
  • Gazi Üniversitesi Adresli: Evet

Özet

We generalize the concept of fuzzy metric space in the sense of George and Veeramani by presenting the definition of generated fuzzy metric space and generated fuzzy bonded metric space. We prove also some known results of metric spaces including Baire's theorem for generated fuzzy metric spaces through alpha-defective diameter.