In this paper an abstract notion of approximate metric space is proposed by means of an interval-valued distance between regions. Regions are interpreted as pieces of information in a space. The resulting theory supports some promising applications to some topics of fuzzy set theory, rough set theory and clustering.

Approximate distances, pointless geometry and incomplete information

COPPOLA, CRISTINA
;
PACELLI, TIZIANA
2006

Abstract

In this paper an abstract notion of approximate metric space is proposed by means of an interval-valued distance between regions. Regions are interpreted as pieces of information in a space. The resulting theory supports some promising applications to some topics of fuzzy set theory, rough set theory and clustering.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/1992915
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