Regular extension operators for partial fuzzy (pseudo)metrics

Author A. Savchenko
savchenko1960@rambler.ru
Kherson Agrarian University

Abstract Using the fuzzy modification of the Prokhorov metric on the set of probability measures we prove the theorem on existence of simultaneous extensions of partial fuzzy metrics (for the Lukasiewicz t-norm) defined on closed subsets of a compact metrizable space.
Keywords fuzzy (pseudo)metrics; probability measure; metrizable space
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Pages 26-30
Volume 36
Issue 1
Year 2011
Journal Matematychni Studii
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