EXTENSION OF FUZZY METRICS: ZERO-DIMENSIONAL CASE

Анотація

The main result of this note is a construction of an operator that extends fuzzy metrics defined on the closed sets of zero-dimensional fuzzy metrizable space over the whole space. The extension operator preserves the operation of minimum of fuzzy metrics as well as the operation of truncation. We also define a fuzzy metric on the countable product of fuzzy metric spaces.