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首页> 外文期刊>Fuzzy Optimization and Decision Making: A Journal of Modeling and Computation Under Uncertainty >Consensus building with a group of decision makers under the hesitant probabilistic fuzzy environment
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Consensus building with a group of decision makers under the hesitant probabilistic fuzzy environment

机译：在犹豫概率模糊环境下与一群决策者共识

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摘要

As a generalized fuzzy number, the hesitant fuzzy element (HFE) has been receiving increased attention and has recently become a popular topic. However, we find that the occurring probabilities of the possible values in the HFE are equal, which is obviously impractical. Consequently, in this paper, we propose a hesitant fuzzy number with probabilities, called the hesitant probabilistic fuzzy number, and construct its score function, deviation function, comparison laws, and its basic operations. It is well known that in the context of a group of decision makers (DMs), one of the basic approaches to built consensus is to aggregate individual evaluations or individual priorities. Thus, to use the hesitant fuzzy numbers for consensus building with a group of DMs, we further propose a method called maximizing score deviation method to obtain the DMs' weights under the HPFE environment, based on which two extended and four new ordered weighted operators are provided to fuse the HPFE information and build the consensus of the DMs. We also analyze the differences among these ordered weighted operators and provide their application scopes. Finally, a practical case is provided to demonstrate consensus building with a group of DMs under the HPFE environment using the proposed approaches.
机译：作为广义模糊数，犹豫不决的模糊元素（HFE）一直受到增加的关注，最近成为一个流行的话题。然而，我们发现HFE中可能值的发生概率相等，这显然是不切实际的。因此，在本文中，我们提出了一种犹豫不决的模糊数，概率，称为犹豫不决的概率模糊数，并构建其得分函数，偏差函数，比较法以及其基本操作。众所周知，在一组决策者（DMS）的背景下，建立共识的基本方法之一是汇总各个评估或个人优先事项。因此，为了利用一组DMS使用犹豫不决的模糊数字，我们进一步提出了一种称为最大化得分偏差方法的方法，以获得HPFE环境下的DMS权重，基于哪两个扩展和四个新的有序加权运算符提供融合HPFE信息并构建DMS的共识。我们还分析了这些有序加权运营商之间的差异，并提供了应用范围。最后，提供了一种实际案例，以展示使用所提出的方法在HPFE环境下用一组DMS进行共识建立。

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