A discussion of indices for the evaluation of fuzzy associations in relational databases

Authors:
Didier Dubois;Henri Prade;Thomas Sudkamp
Affiliations:
IRIT-CNRS, Université Paul Sabatier, Toulouse, France;IRIT-CNRS, Université Paul Sabatier, Toulouse, France;Dept. of Computer Science, Wright State University, Dayton, Ohio
Venue:
IFSA'03 Proceedings of the 10th international fuzzy systems association World Congress conference on Fuzzy sets and systems
Year:
2003

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Abstract

This paper investigates techniques to identify and evaluate associations in a relational database that are expressed by fuzzy if-then rules. Extensions of the classical confidence measure based on the α-cut decompositions of the fuzzy sets are proposed to address the problems associated with the normalization in scalar-valued generalizations of confidence. An analysis by α-level differentiates strongly and weakly supported associations and identifies robustness in an association. In addition, a method is proposed to assess the validity of a fuzzy association based on the ratio of examples to counterexamples.