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. - In: FUZZY SETS AND SYSTEMS. - ISSN 0165-0114. - 157:17(2006), pp. 2371-2383. [10.1016/j.fss.2006.03.019]
Approximate distances, pointless geometry and incomplete information
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.File in questo prodotto:
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