TY - JOUR

T1 - A relational perspective of attribute reduction in rough set-based data analysis

AU - Fan, Tuan Fang

AU - Liau, Churn Jung

AU - Liu, Duen-Ren

PY - 2011/8/16

Y1 - 2011/8/16

N2 - Attribute reduction is very important in rough set-based data analysis (RSDA) because it can be used to simplify the induced decision rules without reducing the classification accuracy. The notion of reduct plays a key role in rough set-based attribute reduction. In rough set theory, a reduct is generally defined as a minimal subset of attributes that can classify the same domain of objects as unambiguously as the original set of attributes. Nevertheless, from a relational perspective, RSDA relies on a kind of dependency principle. That is, the relationship between the class labels of a pair of objects depends on component-wise comparison of their condition attributes. The larger the number of condition attributes compared, the greater the probability that the dependency will hold. Thus, elimination of condition attributes may cause more object pairs to violate the dependency principle. Based on this observation, a reduct can be defined alternatively as a minimal subset of attributes that does not increase the number of objects violating the dependency principle. While the alternative definition coincides with the original one in ordinary RSDA, it is more easily generalized to cases of fuzzy RSDA and relational data analysis.

AB - Attribute reduction is very important in rough set-based data analysis (RSDA) because it can be used to simplify the induced decision rules without reducing the classification accuracy. The notion of reduct plays a key role in rough set-based attribute reduction. In rough set theory, a reduct is generally defined as a minimal subset of attributes that can classify the same domain of objects as unambiguously as the original set of attributes. Nevertheless, from a relational perspective, RSDA relies on a kind of dependency principle. That is, the relationship between the class labels of a pair of objects depends on component-wise comparison of their condition attributes. The larger the number of condition attributes compared, the greater the probability that the dependency will hold. Thus, elimination of condition attributes may cause more object pairs to violate the dependency principle. Based on this observation, a reduct can be defined alternatively as a minimal subset of attributes that does not increase the number of objects violating the dependency principle. While the alternative definition coincides with the original one in ordinary RSDA, it is more easily generalized to cases of fuzzy RSDA and relational data analysis.

KW - Attribute reduction

KW - Decision analysis

KW - Fuzzy sets

KW - Relational information system

KW - Rough sets

UR - http://www.scopus.com/inward/record.url?scp=79955597679&partnerID=8YFLogxK

U2 - 10.1016/j.ejor.2010.08.017

DO - 10.1016/j.ejor.2010.08.017

M3 - Article

AN - SCOPUS:79955597679

SN - 0377-2217

VL - 213

SP - 270

EP - 278

JO - European Journal of Operational Research

JF - European Journal of Operational Research

IS - 1

ER -