概率犹豫模糊决策理论与方法综述

概率犹豫模糊集是在犹豫模糊集的基础上为每个隶属度添加与之相对应的概率值.与犹豫模糊集相比,它可以更加准确和全面地表达专家给出的初始决策信息,因此,基于概率犹豫模糊集的决策理论与方法更加可靠且符合实际.这里对概率犹豫模糊决策理论与方法进行综述.首先介绍其发展过程;然后分别对它的信息融合理论、偏好关系理论以及决策方法等进行阐述;最后展望了概率犹豫模糊决策理论与方法的未来研究方向.

An overview of probabilistic hesitant fuzzy decision-making theory and methods

The probabilistic hesitant fuzzy set adds probability values which are corresponding to each membership degree on the basis of the hesitant fuzzy set(HFS). Compared with the HFS, it can express the initial decision-making information given by experts more accurately and comprehensively. Therefore, the probabilistic hesitant fuzzy decision-making theory and methods are more reliable and practical. This article reviews the probabilistic hesitant fuzzy decision-making theory and methods. It first introduces its development process, then separately expounds its information fusion theory, preference relations theory and decision-making methods, and finally looks forward to the future research directions of the probabilistic hesitant fuzzy decision-making theory and methods.