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Rough sets. (English) Zbl 0501.68053
Summary: We investigate in this paper approximate operations on sets, approximate equality of sets, and approximate inclusion of sets. The presented approach may be considered as an alternative to fuzzy set theory and tolerance theory. Some applications are outlined.

MSC:
68T05 Learning and adaptive systems in artificial intelligence
68T10 Pattern recognition, speech recognition
03E99 Set theory
68T37 Reasoning under uncertainty in the context of artificial intelligence
62H30 Classification and discrimination; cluster analysis (statistical aspects)
03B52 Fuzzy logic; logic of vagueness
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