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A Moderate Attribute Reduction Approach in Decision-Theoretic Rough Set

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Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9437))

Abstract

Attribute reduction is an important topic in Decision-Theoretic Rough Set theory. To overcome the limitations of lower-approximation-monotonicity based reduct and cost minimum based reduct, a moderate attribute reduction approach is proposed in this paper, which combines the lower approximation monotonicity criterion and cost minor criterion. Furthermore, the proposed attribute reduct is searched by solving an optimization problem, and a fusion fitness function is proposed in a generic algorithm, such that the reduct is computed in a low time complexity. Experimental analysis is included to validate the theoretic analysis and quantify the effectiveness of the proposed attribute reduction algorithm. This study indicates that the optimality is not the best and sub-optimum may be the best choice.

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Acknowledgment

This work is supported by the Natural Science Foundation of China (Nos. 61100116, 71201076, 61170105, 61473157,71171107), Qing Lan Project of Jiangsu Province of China, and the Ph.D. Programs Foundation of Ministry of Education of China (20120091120004).

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Correspondence to Huaxiong Li .

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Ju, H., Yang, X., Yang, P., Li, H., Zhou, X. (2015). A Moderate Attribute Reduction Approach in Decision-Theoretic Rough Set. In: Yao, Y., Hu, Q., Yu, H., Grzymala-Busse, J.W. (eds) Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing. Lecture Notes in Computer Science(), vol 9437. Springer, Cham. https://doi.org/10.1007/978-3-319-25783-9_34

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  • DOI: https://doi.org/10.1007/978-3-319-25783-9_34

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