On Rough Sets under Generalized Equivalence Relations

Authors:
Masahiro Inuiguchi;Tetsuzo Tanino
Affiliations:
-;-
Venue:
Proceedings of the Joint JSAI 2001 Workshop on New Frontiers in Artificial Intelligence
Year:
2001

Citing 2
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Abstract

We consider two generalized situations: a case when an equivalence relation is generalized to a similarity relation and a case when a partition is generalized to a cover. Two interpretations of rough sets, i.e., the approximation by means of elementary sets and the distinction among positive, negative and boundary regions, are conceivable. The relations between two generalized situations are investigated. Rough sets are generalized based on two different interpretations under two different situations. Fundamental properties and complete definability are discussed in each generalization.