引用本文:徐泽水,张申.概率犹豫模糊决策理论与方法综述[J].控制与决策,2021,36(1):42-51
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概率犹豫模糊决策理论与方法综述
徐泽水,张申
(四川大学商学院,成都610064)
摘要:
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.
关键词:  概率犹豫模糊集  信息融合  偏好关系  多属性决策  群决策
DOI:10.13195/j.kzyjc.2020.0465
分类号:TP273
基金项目:国家自然科学基金项目(71771155).
An overview of probabilistic hesitant fuzzy decision-making theory and methods
XU Ze-shui,ZHANG Shen
(Business School,Sichuan University,Chengdu 610064,China)
Abstract:
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.
Key words:  probabilistic hesitant fuzzy sets  information fusion  preference relations  multi-attribute decision-making  group decision-making

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