Multi-granularity Intuitionistic Fuzzy Three-Way Decision Model Based on Regret Theory
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1.College of Software, Henan Normal University, Xinxiang 453007, China;2.College of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, China;3.Henan Provincial Key Laboratory of Artificial Intelligence and Personalized Learning in Education, Xinxiang 453007, China

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TP18

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    Abstract:

    When solving complex multi-granularity decision-making problems, traditional three-way decision models based on functions or relationships tend to ignore the multi-granularity characteristics of information in reality and the limitations of the cognitive ability of decision makers. Based on it, this paper proposes a multi-granularity intuitionistic fuzzy three-way decision model based on regret theory. Firstly, to deal with complex calculation problems of intuitionistic fuzzy numbers, the θ operator is integrated with intuitionistic fuzzy rough sets, a multi-granularity upper and lower approximation operator for intuitionistic fuzzy rough sets is proposed, and the corresponding three-way decision rules are given. Secondly, to integrate the cognitive characteristics of the decision-maker into the decision-making process, a multi-granularity three-way sorting method under optimistic and pessimistic strategies is constructed based on the regret theory. Finally, the effectiveness of the proposed model is verified by a group decision example of the competency assessment of “Chinese+vocational” talents in international Chinese education, which provides a new method for uncertain decision-making problems that integrate decision-maker risk preferences in an intuitionistic fuzzy environment.

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PANG Wenli, YU Xiao, ZHENG Yu, CHEN Hui, XUE Zhan’ao, XIN Xianwei. Multi-granularity Intuitionistic Fuzzy Three-Way Decision Model Based on Regret Theory[J].,2025,40(2):501-516.

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History
  • Received:May 23,2024
  • Revised:August 18,2024
  • Adopted:
  • Online: April 11,2025
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