2006

paper

english

EN We propose a new fuzzy rough set approach which, differently from most 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 properties 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. The proposed approach to rule induction is also interesting from the viewpoint of philosophy supporting data mining and knowledge discovery, because it is concordant with the method of concomitant variations by John Stuart Mill. The decision rules are induced from lower and upper approximations defined for positive and negative relationships between credibility degrees of multiple premises, on one hand, and conclusion, on the other hand.

148 - 163

10.1007/10983652_20

https://link.springer.com/chapter/10.1007/10983652_20

Fuzzy Logic and Applications, 5th International Workshop, WILF 2003, Naples, Italy, October 9-11, 2003. Revised Selected Papers

5th International Workshop on Fuzzy Logic and Applications WILF 2003, 9-11.10.2003, Naples, Italy