Generated fuzzy metric spaces and some topological properties

ÇEVİK C., Eminoǧlu Ş.

Journal of Intelligent and Fuzzy Systems, vol.35, no.1, pp.877-885, 2018 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 1
  • Publication Date: 2018
  • Doi Number: 10.3233/jifs-171591
  • Journal Name: Journal of Intelligent and Fuzzy Systems
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.877-885
  • Keywords: fuzzy diameter, generated fuzzy diameter, generated fuzzy metric space, Generated metric space
  • Ankara Yıldırım Beyazıt University Affiliated: No

Abstract

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 α-defective diameter.