Fuzzy quasi-metric spaces | Zendy

Valentı́n Gregori | Zendy; Salvador Romaguera | Zendy

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Fuzzy quasi-metric spaces

Author(s) -

Valentı́n Gregori,

Salvador Romaguera

Publication year - 2004

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.638

H-Index - 13

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2004.2001

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

We generalize the notions of fuzzy metric by Kramosil and Michalek, and by George and Veeramani to the quasi-metric setting.We show that every quasi-metric induces a fuzzy quasi-metric and ,conversely, every fuzzy quasi-metric space generates a quasi-metrizable topology. Other basic properties are discussed

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