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Fuzzy ultrametrics on the setofprobability measures

Fuzzy ultrametrics on the setofprobability measures

Savchenko, A.; Zarichnyi, M.; Савченко, О. Г.
URI: http://ekhsuir.kspu.edu/123456789/12460
Date: 2009

Abstract:

Weintroduceafuzzyultrametriconthesetofprobabilitymeasureswithcompactsupport defined on a fuzzy metric space. The construction is a counterpart, in the realm of fuzzy ultrametricspaces,oftheconstructionduetoVinkandRuttenofanultrametricontheset ofprobabilitymeasureswithcompactsupportsonanultrametricspace. It is proved that the set of probability measures with finite supports is dense in the naturaltopologygeneratedbythedefinedfuzzyultrametric.

Description:

Savchenko, A. Fuzzy ultrametrics on the set of probability measures / A. Savchenko, M. Zarichnyi // Topology. – 2009. – V. 48, № 2-4. – Р. 130-136.

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