George-Veeramani Fuzzy Metrics Revised

Alexander Šostak
2018 Axioms  
In this note, we present an alternative approach to the concept of a fuzzy metric, calling it a revised fuzzy metric. In contrast to the traditional approach to the theory of fuzzy metric spaces which is based on the use of a t-norm, we proceed from a t-conorm in the definition of a revised fuzzy metric. Here, we restrict our study to the case of fuzzy metrics as they are defined by George-Veeramani, however, similar revision can be done also for some other approaches to the concept of a fuzzy metric.
doi:10.3390/axioms7030060 fatcat:wuq2ur4qfjfybdg6szfcuuzi64