2018•Journal of Intelligent & Fuzzy SystemsRequires access

Generated fuzzy metric spaces and some topological properties

Cüneyt Çevik, Şehla Eminoğlu

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.

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Key concepts: Mathematics, Injective metric space, Convex metric space, Metric (unit), Metric space, Intrinsic metric, Metric differential, T-norm