Abstract
Three-way decision rules can be constructed from rough set regions, i.e., positive, negative and boundary regions. These rough set regions can be viewed as the acceptance, rejection, and non-commitment decision regions in three-way classification. Interpretation and determination of decision regions are one of the key issues of three-way decision and rough set theories. We investigate the relationship between changes in rough set regions and their impacts on the Gini coefficients of decision regions. Effective decision regions can be obtained by satisfying objective functions of Gini coefficients of decision regions. Three different objective functions are discussed in this paper. The example shows that effective decision regions can be obtained by tuning Gini coefficients of decision regions to satisfy a certain objective function. It is suggested that with the new approach more applicable decision regions and decision rules may be obtained.
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Zhang, Y., Yao, J. (2014). Determining Three-Way Decision Regions with Gini Coefficients. In: Cornelis, C., Kryszkiewicz, M., Ślȩzak, D., Ruiz, E.M., Bello, R., Shang, L. (eds) Rough Sets and Current Trends in Computing. RSCTC 2014. Lecture Notes in Computer Science(), vol 8536. Springer, Cham. https://doi.org/10.1007/978-3-319-08644-6_17
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DOI: https://doi.org/10.1007/978-3-319-08644-6_17
Publisher Name: Springer, Cham
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