On the topology of fuzzy metric type spaces | Zendy

Reza Saadati | Zendy

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On the topology of fuzzy metric type spaces

Author(s) -

Reza Saadati

Publication year - 2015

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1501133s

Subject(s) - mathematics , metrization theorem , convex metric space , injective metric space , topology (electrical circuits) , type (biology) , metric space , metric (unit) , t norm , fuzzy set , discrete mathematics , fuzzy logic , fuzzy number , pure mathematics , mathematical analysis , combinatorics , computer science , artificial intelligence , ecology , operations management , separable space , economics , biology

In this paper, first we introduce the concept of fuzzy metric type space and consider the topology induced by a fuzzy metric type. Next, we consider the complete fuzzy metric type spaces and prove that any Gδ set in a complete metric type space is a complete fuzzy metrizable type space.

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