Fuzzy quasi-metric spaces
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 d...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Universitat Politècnica de València
2004-04-01
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Series: | Applied General Topology |
Subjects: | |
Online Access: | http://polipapers.upv.es/index.php/AGT/article/view/2001 |
Summary: | 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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ISSN: | 1576-9402 1989-4147 |