基于相似度和改进雷达图的概率犹豫模糊多属性决策方法

为了解决属性权重未知的概率犹豫模糊多属性决策问题,构建基于相似度和改进雷达图的多属性决策方法。首先基于概率犹豫模糊元的信息完全度构建概率犹豫模糊集的距离测度和灰色关联系数,然后基于灰色关联理想解法定义了概率犹豫模糊集的相似度,最后根据概率犹豫模糊集的相似度和改进雷达图构建多属性决策模型,并通过案例进行了验证分析。

Probabilistic Hesitant Fuzzy Multi-attribute Decision Making Method Based on Similarity and Improved Radar Chart

In order to solve the problem of probabilistic hesitant fuzzy multi-attribute decision-making with unknown attribute weights,a multi-attribute decision-making method based on similarity and improved radar chart is constructed.Firstly,the distance measure and gray correlation coefficient of probabilistic hesitant fuzzy sets are constructed based on the information completeness of probabilistic hesitant fuzzy elements.Secondly,the similarity of probabilistic hesitant fuzzy sets is defined based on the gray correlation ideal solution.Finally,a multi-attribute decision-making model is constructed based on the similarity of the probabilistic hesitant fuzzy sets and the improved radar chart,and the validity is verified through a case.