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Advances in Fuzzy Systems
Volume 2014, Article ID 197876, 7 pages
http://dx.doi.org/10.1155/2014/197876
Research Article

Interest Measures for Fuzzy Association Rules Based on Expectations of Independence

Institute for Research and Applications of Fuzzy Modeling, Centre of Excellence IT4Innovations, University of Ostrava, 30. dubna 22, 701 03 Ostrava, Czech Republic

Received 25 August 2014; Accepted 9 September 2014; Published 7 October 2014

Academic Editor: Salvatore Sessa

Copyright © 2014 Michal Burda. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Lift, leverage, and conviction are three of the best commonly known interest measures for crisp association rules. All of them are based on a comparison of observed support and the support that is expected if the antecedent and consequent part of the rule were stochastically independent. The aim of this paper is to provide a correct definition of lift, leverage, and conviction measures for fuzzy association rules and to study some of their interesting mathematical properties.