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Approximate distances, pointless geometry and incomplete information. (English) Zbl 1103.68837
Summary: 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.

68T37 Reasoning under uncertainty in the context of artificial intelligence
54A40 Fuzzy topology
68T10 Pattern recognition, speech recognition
Full Text: DOI
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