Rough sets and gradual decision rules

Authors:
Salvatore Greco;Masahiro Inuiguchi;Roman Słwiński
Affiliations:
Faculty of Economics, University of Catania, Catania, Italy;Graduate School of Engineering, Osaka University, Suita, Osaka, Japan;Institute of Computing Science, Poznan University of Technology, Poznan, Poland
Venue:
RSFDGrC'03 Proceedings of the 9th international conference on Rough sets, fuzzy sets, data mining, and granular computing
Year:
2003

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Abstract

We propose a new fuzzy rough set approach which, differently from all known fuzzy set extensions of rough set theory, does not use any fuzzy logical connectives (t-norm, t-conorm, fuzzy implication). As there is no rationale for a particular choice of these connectives, avoiding this choice permits to reduce the part of arbitrary in the fuzzy rough approximation. Another advantage of the new approach is that it is based on the ordinal property of fuzzy membership degrees only. The concepts of fuzzy lower and upper approximations are thus proposed, creating a base for induction of fuzzy decision rules having syntax and semantics of gradual rules.