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首页> 外文期刊>International Journal of Uncertainty, Fuzziness, and Knowledge-based Systems >MANAGING HESITANT INFORMATION IN GDM PROBLEMS UNDER FUZZY AND MULTIPLICATIVE PREFERENCE RELATIONS
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MANAGING HESITANT INFORMATION IN GDM PROBLEMS UNDER FUZZY AND MULTIPLICATIVE PREFERENCE RELATIONS

机译：在模糊和可乘偏好关系下管理GDM问题中的犹豫信息

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摘要

In the process of group decision making (GDM), preference relations (e.g. fuzzy preference relation and multiplicative preference relation) are very popular tools to express decision makers' preferences, especially when a set of alternatives (or criteria) are compared. However, most of the existing preference relations don't consider the hesitancy information, which allows the decision makers to provide all the possible values when comparing two alternatives (or criteria), and is a common situation in daily life. In this paper, we first define the concept of hesitant fuzzy preference relation and study its properties, based on which we give an approach to GDM. Motivated by the multiplicative preference relation and the hesitant fuzzy set, we introduce the hesitant multiplicative set and develop a series of hesitant multiplicative aggregation operators. Hesitant multiplicative preference relation is also defined to provide decision makers a very useful tool to express their hesitant preferences over alternatives, and then is applied to GDM. Additionally, an example is given to illustrate our results.
机译：在群体决策（GDM）的过程中，偏好关系（例如模糊偏好关系和乘法偏好关系）是表达决策者偏好的非常流行的工具，尤其是在比较一组备选方案（或标准）时。但是，大多数现有的偏好关系都没有考虑犹豫信息，这使得决策者在比较两种选择（或标准）时可以提供所有可能的值，这是日常生活中的常见情况。在本文中，我们首先定义了犹豫的模糊偏好关系的概念，并研究了它的性质，在此基础上给出了GDM的方法。在乘积偏好关系和犹豫模糊集的激励下，我们引入了犹豫乘法集，并开发了一系列犹豫乘法积算子。还定义了犹豫的乘法偏好关系，为决策者提供了一个非常有用的工具来表达他们对替代方案的犹豫的偏好，然后将其应用于GDM。另外，给出了一个例子来说明我们的结果。

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