Journal
APPLIED SOFT COMPUTING
Volume 110, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.asoc.2021.107736
Keywords
Covering rough sets; Multi-scale; Optimal scale selection; Optimal rule acquisition
Categories
Funding
- National Natural Science Foundation of China [:11871259]
- Natural Science Foundation of Fujian Province, China [2017J01114]
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This paper proposes a new data analysis model using multi-scale coverings for knowledge representation, and discusses optimal scale selection for consistent and inconsistent covering decision tables to obtain acceptable decisions. Experimental results show that the multi-scale covering theory can enhance the generalization ability of the classification model.
When facing with a complex problem, one often needs to consider dealing with it at what level of granularity. Multi-scale knowledge representation provides us an opportunity to analyze problems from different granularity. However, as well as traditional rough sets model, most of existing multi-scale rough set models are based on partitions generated from equivalence relations, which limits their application in real data. In this paper, we set forth a new data analysis model with multi-scale coverings by extending partitions to coverings. To this end, a new type of decision tables, i.e., multi-scale covering decision tables are formalized to deal with knowledge representation under multi-scale framework. Optimal scale selection for consistent and inconsistent covering decision tables are then proposed to obtain acceptable decisions under coarser scales. Furthermore, the acquisition of optimal rules with higher accuracy and covering rate are discussed. Extensive experiments on some real-world data sets are set up to examine the effectiveness and feasibility of the proposed model. Experimental results show that the multi-scale covering theory gives a new way to enhance the generalization ability of the classification model. (C) 2021 Elsevier B.V. All rights reserved.
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