Alternative normalization schemas for Bayesian confirmation measures

Authors:
Salvatore Greco;Roman Słowiński;Izabela Szczęch
Affiliations:
Faculty of Economics, University of Catania, Catania, Italy;Institute of Computing Science, Poznan University of Technology, Poznan, Poland and Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland;Institute of Computing Science, Poznan University of Technology, Poznan, Poland
Venue:
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
Year:
2010

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Abstract

Analysis of rule interestingness measures with respect to their properties is an important research area helping to identify groups of measures that are truly meaningful. In this article, we analyze property Ex1, of preservation of extremes, in a group of confirmation measures. We consider normalization as a mean to transform them so that they would obtain property Ex1 and we introduce three alternative approaches to the problem: an approach inspired by Nicod, Bayesian, and likelihoodist approach. We analyze the results of the normalizations of seven measures with respect to property Ex1 and show which approaches lead to the desirable results. Moreover, we extend the group of ordinally non-equivalent measures possessing valuable property Ex1.