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A method based on similarity measures for interactive group decision-making with intuitionistic fuzzy preference relations

机译：直觉模糊偏好关系的基于相似度的交互式群体决策方法

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In this paper, we study the group decision-making problem in which the preference information given by experts takes the form of intuitionistic fuzzy preference relations, and the information about experts' weights is completely unknown. We first utilize the intuitionistic fuzzy weighted averaging operator to aggregate all individual intuitionistic fuzzy preference relations into a collective intuitionistic fuzzy preference relation. Then, based on the degree of similarity between the individual intuitionistic fuzzy preference relations and the collective one, we develop an approach to determine the experts' weights. Furthermore, based on intuitionistic fuzzy preference relations, a practical interactive procedure for group decision-making is proposed, in which the similarity measures between the collective preference relation and intuitionistic fuzzy ideal solution are used to rank the given alternatives. Finally, an illustrative numerical example is given to verify the developed approach.
机译：本文研究了群体决策问题，其中专家给出的偏好信息采用直觉模糊偏好关系的形式，而关于专家权重的信息则完全未知。我们首先利用直觉模糊加权平均算子将所有单个直觉模糊偏好关系聚合为一个集体直觉模糊偏好关系。然后，基于个体直觉模糊偏好关系和集体关系之间的相似度，我们开发了一种确定专家权重的方法。此外，在直觉模糊偏好关系的基础上，提出了一种实用的群体决策互动程序，其中采用了集体偏好关系与直觉模糊理想解之间的相似性度量来对给定的方案进行排序。最后，给出了一个数值例子来验证所开发的方法。

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