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首页> 外文期刊>Applied Intelligence: The International Journal of Artificial Intelligence, Neural Networks, and Complex Problem-Solving Technologies >Multi-attribute group decision making under probabilistic hesitant fuzzy environment with application to evaluate the transformation efficiency
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Multi-attribute group decision making under probabilistic hesitant fuzzy environment with application to evaluate the transformation efficiency

机译：多属性组决策在概率犹豫不决的模糊环境下进行应用，以评估转换效率

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摘要

Hesitant fuzzy sets were introduced by Torra to efficiently address situations in which the membership degree of an element in a set is expressed by several different values. However, there is a large shortcoming in hesitant fuzzy sets-the serious loss of information. Therefore, in this paper, we improve upon hesitant fuzzy sets by implementing a probabilistic hesitant fuzzy set (PHFS). Then, we introduce some new basic operations on the probabilistic hesitant fuzzy elements (PHFEs) using the Frank t-conorm and t-norm. Based on these proposed operations, we further develop probabilistic hesitant fuzzy weighted arithmetic and geometric aggregation operators. The desired properties and the relationships among them are investigated in detail. In addition, an approach to multi-attribute group decision making (MAGDM) is investigated on the basis of the new operators. Finally, a numerical example of public company efficiency evaluation is provided to illustrate the application and validity of the proposed approach.
机译：托罗拉介绍了犹豫不决的模糊集，以有效地解决了一个集合中元素的成员程度的地址地址地址的情况。但是，犹豫不决的模糊集中存在大的缺点 - 信息的严重损失。因此，在本文中，我们通过实施概率犹豫的模糊集（PHF）来改善犹豫不决的模糊集。然后，我们使用Frank T-Conorm和T-Norm在概率犹豫不决的模糊元素（PHFES）上介绍一些新的基本操作。基于这些拟议的操作，我们进一步开发了概率犹豫不决的模糊加权算术和几何聚合运算符。详细研究了所需的性质和它们之间的关系。此外，在新的运营商的基础上调查了多属性组决策制定（MAGDM）的方法。最后，提供了公共公司效率评估的数值例子来说明所提出的方法的应用和有效性。

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