Generated fuzzy metric spaces and some topological properties

Article type: Research Article

Authors: Çevik, Cüneyt^{; *} | Eminoğlu, Şehla

Affiliations: Department of Mathematics, Faculty of Science, Gazi University, Turkey

Correspondence: [*] Corresponding author. Cüneyt Çevik. E-mail: ccevik@gazi.edu.tr.

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.

Keywords: Generated metric space, generated fuzzy metric space, fuzzy diameter, generated fuzzy diameter

DOI: 10.3233/JIFS-171591

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 877-885, 2018