Fuzzy quasi-metric spaces
[EN] 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...
| Authors: | ; |
|---|---|
| Format: | Article |
| Publication date: | 2004 |
| Country: | España |
| Institution: | Universitat Politècnica de València (UPV) |
| Repository: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Language: | English |
| OAI Identifier: | oai:riunet.upv.es:10251/82552 |
| Online Access: | https://riunet.upv.es/handle/10251/82552 |
| Access Level: | Open access |
| Keyword: | Fuzzy quasi-metric space Quasi-metric Quasi-uniformity Bi- complete Isometry |
| Summary: | [EN] 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. |
|---|