EXTENSION OF FUZZY METRICS: ZERO-DIMENSIONAL CASE

Abstract

The main result of this note is a onstru tion of an operator that extends fuzzy metri s defined on the losed sets of zero-dimensional fuzzy metrizable spa e over the whole spa e. The extension operator preserves the operation of minimum of fuzzy metri s as well as the operation of trun ation. We also de ne a fuzzy metri on the ountable produ t of fuzzy metric spaces.