2007 StatisticalModelforRoughSetAppr

• (Dembczyński et al., 2007) ⇒ Krzysztof Dembczyński, Salvatore Greco, Wojciech Kotłowski, and Roman Słowiński. (2007). “Statistical Model for Rough Set Approach to Multicriteria Classification.” In: Proceedings of the 11th European conference on Principles and Practice of Knowledge Discovery in Databases. ISBN:978-3-540-74975-2 doi:10.1007/978-3-540-74976-9_18

Subject Headings: Rough Set, Decision Rule.

Cited By

• http://scholar.google.com/scholar?q=%222007%22+Statistical+Model+for+Rough+Set+Approach+to+Multicriteria+Classification
• http://dl.acm.org/citation.cfm?id=1421751.1421771&preflayout=flat#citedby

Quotes

Abstract

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.

Body

... the equivalence of the variable consistency rough sets to the specific risk-minimizing decision rule in statistical ... 1 in the first problem form Cl1, while objects with new decision value ˆdi= 0... choosing the function f∗, which minimizes the empirical risk (29) with loss function (33) with...

References

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	Author	volume	Date Value	title	type	journal	titleUrl	doi	note	year
2007 StatisticalModelforRoughSetAppr	Krzysztof Dembczyński Salvatore Greco Wojciech Kotłowski Roman Słowiński			Statistical Model for Rough Set Approach to Multicriteria Classification				10.1007/978-3-540-74976-9_18		2007