EXTENSION OF FUZZY METRICS: ZERO-DIMENSIONAL CASE
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Date
2009
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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.
Description
Savchenko, O. Extension of fuzzy metrics: zero-dimensional case / O. Savchenko // Visnyk of the Lviv University, series mechanics and mathematics. – 2009. – V. 71. – P. 204-212.
Keywords
fuzzy metri, extension operator, zero-dimensional space