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叶菁, 钟艳如. 基于加型一致性的直觉模糊偏好关系三支多属性决策方法[J]. 桂林电子科技大学学报, xxxx, x(x): 1-8. DOI: 10.3969/1673-808X.202324
引用本文: 叶菁, 钟艳如. 基于加型一致性的直觉模糊偏好关系三支多属性决策方法[J]. 桂林电子科技大学学报, xxxx, x(x): 1-8. DOI: 10.3969/1673-808X.202324
YE Jing, ZHONG Yanru. A three-way multi-attribute decision-making method with intuitionistic fuzzy preference relationships based on additive consistency[J]. Journal of Guilin University of Electronic Technology, xxxx, x(x): 1-8. DOI: 10.3969/1673-808X.202324
Citation: YE Jing, ZHONG Yanru. A three-way multi-attribute decision-making method with intuitionistic fuzzy preference relationships based on additive consistency[J]. Journal of Guilin University of Electronic Technology, xxxx, x(x): 1-8. DOI: 10.3969/1673-808X.202324

基于加型一致性的直觉模糊偏好关系三支多属性决策方法

A three-way multi-attribute decision-making method with intuitionistic fuzzy preference relationships based on additive consistency

  • 摘要: 三支决策模型通过考虑损失函数与决策矩阵之间的语义关系,成为解决多属性决策问题的一种有效方法。随着实际决策问题中面临的不确定数据日益增加,传统的多属性决策方法在复杂语境中表现不佳。针对这一问题,提出了一种基于加型一致性的直觉判断关系三支多属性决策方法。首先给出加型一致性的直觉模糊偏好矩阵,得到不同决策方案之间的偏好关系,并利用矩阵中的偏好信息,在决策理论粗糙模糊集的背景下进行条件概率的计算;然后考虑损失函数与直觉模糊数之间的相关性,采用相对损失函数求得三支决策模型中的相对损失值与决策阈值,并通过决策规则对决策方案进行分类和排序。最后,简述所提方法的关键步骤,并将算法应用到经典的供应商选择实例中,验证了模型的可行性和有效性。

     

    Abstract: The three-way decision model becomes an effective method to solve the multi-attribute decision problem by considering the semantic relationship between the loss function and the decision matrix. With the increasing number of uncertain data faced in real-world decision-making problems, traditional multi-attribute decision-making methods perform poorly in complex contexts. To solve this problem, a three-way multi-attribute decision-making method with intuitionistic fuzzy preference relationships based on additive consistency is proposed. Firstly, we give the intuitionistic fuzzy preference relationships based on additive consistency, the preference relationships between different decision schemes is obtained, and the preference information in the matrix is used to calculate the conditional probability under the background of the rough fuzzy set of decision theory. Then, considering the correlation between the loss function and the intuitionistic fuzzy number, the relative loss function is used to find the relative loss and decision threshold in the three decision models, and the decision scheme is classified and ranked by decision rules. Finally, the key steps of the proposed method are briefly described, and the algorithm is applied to the classic supplier selection example, prove the feasibility and effectiveness of the model.

     

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