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 are discussed.The authors acknowledge the support of Generalitat Valenciana, grant GRUPOS 03/027Gregori, V.; Romaguera, S. (2004). Fuzzy quasi-metric spaces. Applied General Topology. 5(1):129-136. https://doi.org/10.4995/agt.2004.20011291365