A set-cover-based approach for the test-cost-sensitive attribute reduction problem
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In data mining application, the test-cost-sensitive attribute reduction is an important task which aims to decrease the test cost of data. In operational research, the set cover problem is a typical optimization problem and has a long investigation history compared to the attribute reduction problem. In this paper, we employ the methods of set cover problem to deal with the test-cost-sensitive attribute reduction. First, we equivalently transform the test-cost-sensitive reduction problem into the set cover problem by using a constructive approach. It is shown that computing a reduct of a decision system with minimal test cost is equal to computing an optimal solution of the set cover problem. Then, a set-cover-based heuristic algorithm is introduced to solve the test-cost-sensitive reduction problem. In the end, we conduct several numerical experiments on data sets from UCI machine learning repository. Experimental results indicate that the set-cover-based algorithm has superior performances in most cases, and the algorithm is efficient on data sets with many attributes.
KeywordsAttribute reduction Decision table Rough set Set cover problem Test cost
This work is supported by Grants from National Natural Science Foundation of China (Nos. 61573321, 61272021, 61202206 and 61173181), Zhejiang Provincial Natural Science Foundation of China (Nos. LZ12F03002, LY14F030001), Open Foundation from Marine Sciences in the Most Important Subjects of Zhejiang (No. 20130109), and Scientific Research Start-up Fund of Zhejiang Ocean University (No. 21065014715).
Compliance with ethical standards
Conflict of interest
Author Anhui Tan declares that he has no conflict of interest. Author Weizhi Wu declares that he has no conflict of interest. Author Yuzhi Tao declares that she has no conflict of interest.
This article does not contain any studies with human participants or animals performed by any of the authors.
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