Three-way decisions based on decision-theoretic rough sets under linguistic assessment with the aid of group decision making |
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| Affiliation: | 1. School of Economics and Management, Southwest Jiaotong University, Chengdu 610031, China;2. School of Management and Economics, University of Electronic Science and Technology of China, Chengdu 610054, China;1. Department of Computer Science and Technology, Tongji University, Shanghai 201804, PR China;2. School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, Hunan 410114, PR China;3. The Key Laboratory of Embedded System and Service Computing, Ministry of Education, Tongji University, Shanghai 201804, PR China;4. College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410004, PR China |
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| Abstract: | Based on decision-theoretic rough set model of three-way decisions, we augment the existing model by introducing linguistic terms. Considering the two types of parameters being used in the three-way decisions with linguistic assessment, a certain type of novel three-way decisions based on the Bayesian decision procedure is constructed. In this way, three-way decisions with decision-theoretic rough sets are extended to the qualitative environment. With the aid of multi-attribute group decision making, the values of these parameters are determined. An adaptive algorithm supporting consistency improvement of multi-attribute group decision making is designed. Then, we optimize the scales of the linguistic terms with the use of particle swarm optimization. The values of these parameters of three-way decisions are aggregated when proceeding with group decision making. Finally, the proposed model of three-way decisions with linguistic assessment is applied to the selection process of new product ideas. |
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| Keywords: | Linguistic terms Group decision making Loss function Decision-theoretic rough sets Three-way decisions |
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