[1]ZENG Ting,TANG Xiao,TAN Yang,et al.Decision costs of the similarity three-way decision-theoretic fuzzy rough set model[J].CAAI Transactions on Intelligent Systems,2020,15(6):1068-1078.[doi:10.11992/tis.201909015]
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CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume:
15
Number of periods:
2020 6
Page number:
1068-1078
Column:
学术论文—知识工程
Public date:
2020-11-05
- Title:
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Decision costs of the similarity three-way decision-theoretic fuzzy rough set model
- Author(s):
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ZENG Ting1; 2; TANG Xiao1; 2; TAN Yang1; 2; DING Benxiang1; 2
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1. School of Mathematical Science, Sichuan Normal University, Chengdu 610066, China;
2. Institute of Intelligent Information and Quantum Information, Sichuan Normal University, Chengdu 610066, China
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- Keywords:
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three-way decisions; fuzzy rough set; decision costs; fuzzy number; threshold pair; attribute value; interval value; multiset
- CLC:
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TP18;O23
- DOI:
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10.11992/tis.201909015
- Abstract:
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In the three-way decision-theoretic fuzzy rough set model, several scholars established the objective function based on the similarity three-way decision-theoretic fuzzy rough set model to derive the method for calculating the optimal threshold pair (α, β). However, during this research, the authors did not discuss the description of the decision costs in the similarity three-way decision-theoretic fuzzy rough set model. The new function describing the decision costs is used in the method for calculating the threshold pair (α, β) based on the fuzzy information system. First, in the fuzzy information system, the fuzzy number is associated with the decision costs of three-way decisions by establishing a function describing the decision costs. Then, the numerical description of the decision costs of three-way decisions is obtained by fitting the membership frequency. Finally, two examples are given to illustrate the feasibility and applicability of the method.