Fuzzy quasi-metric spaces

Valentín Gregori, Salvador Romaguera

Abstract

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.

Keywords

Fuzzy quasi-metric space; Quasi-metric; Quasi-uniformity; Bi- complete; Isometry.

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References

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Mathematics  vol: 6  issue: 7  first page: 106  year: 2018  
doi: 10.3390/math6070106



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