Rough sets and gradual decision rules

Salvatore Greco, M. Inuiguchi, R. Slowinski

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)peer-review

    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.
    Original languageEnglish
    Title of host publicationRough sets, fuzzy sets, data mining, and granular computing: proceedings of the 9th international conference
    EditorsG. Wang, Q. Liu, Y. Yao, A. Skowron
    Place of PublicationBerlin, Germany
    PublisherSpringer
    Pages156-164
    Number of pages9
    Volume2639
    Edition2639
    ISBN (Print)9783540140405
    DOIs
    Publication statusPublished - May 2003

    Publication series

    NameLecture notes in computer science
    PublisherSpringer
    Number2639

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