基于后悔理论的多粒度直觉模糊三支决策模型
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1.河南师范大学软件学院, 新乡 453007;2.河南师范大学计算机与信息工程学院, 新乡 453007;3.河南省教育人工智能与个性化学习重点实验室, 新乡 453007

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教育部中外语言交流合作中心国际中文教育研究课题(23YH26C);河南省科技攻关项目(252102210056, 242102210103);河南省高等学校重点科研项目(24A520019);教育部人文社科重点研究基地重大项目(22JJD740017);河南省软科学研究计划项目(242400410321)。


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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    摘要:

    传统基于函数或关系的三支决策模型在应对复杂多粒度决策问题求解时,容易忽略现实中信息的多粒度特性和决策者认知能力的局限性。基于此,本文提出了一种基于后悔理论的多粒度直觉模糊三支决策模型。首先,为处理直觉模糊数的复杂计算问题,将θ算子与直觉模糊粗糙集相融合,提出了一种多粒度直觉模糊粗糙集上、下近似算子,并给出相应的三支决策规则。其次,为将决策者的认知特性融合到决策过程中,结合后悔理论构建了乐观和悲观策略下的多粒度三支排序方法。最后通过国际中文教育“中文+职业”人才胜任力评估的群决策实例验证了所提模型的有效性,为直觉模糊环境下融合决策者风险偏好的不确定性决策问题提供了一种新方法。

    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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庞文莉,于潇,郑宇,陈辉,薛占熬,辛现伟.基于后悔理论的多粒度直觉模糊三支决策模型[J].数据采集与处理,2025,40(2):501-516

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  • 收稿日期:2024-05-23
  • 最后修改日期:2024-08-18
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  • 在线发布日期: 2025-04-11