论文信息 - Several Reducts in Dominance-Based Rough Set Approach

Several Reducts in Dominance-Based Rough Set Approach

In this paper, we investigate reducts preserving a structure induced from dominance-based rough sets as well as a structure from variable-precision dominance-based rough sets. It is shown that three kinds of reducts are obtained in the dominance-based rough set approach. For each kind of reduct, a discernibility matrix is given for the enumeration of the reducts. Moreover, it is shown that four kinds of reducts are obtained in the variable-precision dominance-based rough set approach. A counter-example showing the impossibility of reduct enumeration in the case of variable-precision dominance-based rough set approach.

Masahiro Inuiguchi | Yukihiro Yoshioka

[1] S. Greco,et al. Decision Rule Approach , 2005 .

[2] Theodor J. Stewart,et al. Multiple Criteria Decision Analysis , 2001 .

[3] Sadaaki Miyamoto,et al. Rough Sets and Current Trends in Computing , 2012, Lecture Notes in Computer Science.

[4] Tsau Young Lin,et al. Rough Set Methods and Applications , 2000 .

[5] Arunabha Bagchi,et al. Filtering and identification of stochastic volatility for parabolic type factor models , 2006 .

[6] Masahiro Inuiguchi,et al. Variable-Precision Dominance-Based Rough Set Approach , 2006, RSCTC.

[7] Masahiro Inuiguchi. Attribute Reduction in Variable Precision Rough Set Model , 2006, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[8] Roman Słowiński,et al. Generation of reducts and rules in multi-attribute and multi-criteria classification , 2000 .

[9] Dominik Ślęzak,et al. Various approaches to reasoning with frequency based decision reducts: a survey , 2000 .

[10] Roman Słowiński,et al. The Use of Rough Sets and Fuzzy Sets in MCDM , 1999 .

[11] Jerzy W. Grzymala-Busse,et al. Rough Sets , 1995, Commun. ACM.