The paper by Valentín Gregori and Salvador Romaguera generalizes the concepts of fuzzy metric spaces introduced by Kramosil and Michalek, as well as those by George and Veeramani, to the setting of quasi-metric spaces. They show that every quasi-metric induces a fuzzy quasi-metric, and conversely, every fuzzy quasi-metric generates a quasi-metrizable topology. The authors define two types of fuzzy quasi-metric spaces, KM-fuzzy quasi-metric and GV-fuzzy quasi-metric, and discuss their basic properties. They also explore the quasi-metrizability of the topology generated by a fuzzy quasi-metric space and introduce the concept of bicompleteness for these spaces. The paper provides a comprehensive framework for understanding the relationship between quasi-metrics and fuzzy quasi-metrics, and their topological implications.The paper by Valentín Gregori and Salvador Romaguera generalizes the concepts of fuzzy metric spaces introduced by Kramosil and Michalek, as well as those by George and Veeramani, to the setting of quasi-metric spaces. They show that every quasi-metric induces a fuzzy quasi-metric, and conversely, every fuzzy quasi-metric generates a quasi-metrizable topology. The authors define two types of fuzzy quasi-metric spaces, KM-fuzzy quasi-metric and GV-fuzzy quasi-metric, and discuss their basic properties. They also explore the quasi-metrizability of the topology generated by a fuzzy quasi-metric space and introduce the concept of bicompleteness for these spaces. The paper provides a comprehensive framework for understanding the relationship between quasi-metrics and fuzzy quasi-metrics, and their topological implications.