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Chapter

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Title

Statistical Model for Rough Set Approach to Multicriteria Classification

Authors

[ 1 ] Instytut Informatyki (II), Wydział Informatyki i Zarządzania, Politechnika Poznańska | [ P ] employee

Year of publication

2007

Chapter type

paper

Publication language

english

Abstract

EN In order to discover interesting patterns and dependencies in data, an approach based on rough set theory can be used. In particular, Dominance-based Rough Set Approach (DRSA) has been introduced to deal with the problem of multicriteria classification. However, in real-life problems, in the presence of noise, the notions of rough approximations were found to be excessively restrictive, which led to the proposal of the Variable Consistency variant of DRSA. In this paper, we introduce a new approach to variable consistency that is based on maximum likelihood estimation. For two-class (binary) problems, it leads to the isotonic regression problem. The approach is easily generalized for the multi-class case. Finally, we show the equivalence of the variable consistency rough sets to the specific risk-minimizing decision rule in statistical decision theory.

Pages (from - to)

164 - 175

DOI

10.1007/978-3-540-74976-9_18

URL

https://link.springer.com/chapter/10.1007/978-3-540-74976-9_18

Book

Knowledge Discovery in Databases: PKDD 2007. 11th European Conference on Principles and Practice of Knowledge Discovery in Databases, Warsaw, Poland, September 17-21, 2007. Proceedings

Presented on

11th European Conference on Principles and Practice of Knowledge Discovery in Databases, PKDD 2007, 17-21.09.2007, Warszawa, Poland

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