A generalized definition of rough approximations based on similarity

A generalized definition of rough approximations based on similarity

This paper proposes new definitions of lower and upper approximations, which are basic concepts of the rough set theory. These definitions follow naturally from the concept of ambiguity introduced in this paper. The new definitions are compared to the classical definitions and are shown to be more g...

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Veröffentlicht in:IEEE transactions on knowledge and data engineering 2000-03, Vol.12 (2), p.331-336
Hauptverfasser: Slowinski, R., Vanderpooten, D.
Format: Artikel
Sprache:eng
Schlagworte:
Ambiguity
Approximation
Data analysis
Fuzzy set theory
Set theory
Similarity
Uncertainty
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Zusammenfassung:This paper proposes new definitions of lower and upper approximations, which are basic concepts of the rough set theory. These definitions follow naturally from the concept of ambiguity introduced in this paper. The new definitions are compared to the classical definitions and are shown to be more general, in the sense that they are the only ones which can be used for any type of indiscernibility or similarity relation.
ISSN:1041-4347
1558-2191
DOI:10.1109/69.842271