An approach to consensus measurement of linguistic preference relations in multi-attribute group decision making and application
An approach to consensus measurement of linguistic preference relations in multi-attribute group decision making and application
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多属性群决策中语言偏好关系的共识测量方法及应用
DOI：
10.1016/j.omega.2014.09.006
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发表时间：
2015-03
影响因子：
6.9
通讯作者：
Bingzhen Sun, Weimin Ma
中科院分区：
文献类型：
--
作者：
Bingzhen Sun, Weimin Ma
研究了具有语言偏好关系的群决策问题。我们首先通过定义两个语言值和两个语言偏好关系之间的相似度来研究个体偏好关系和集体（群体）偏好关系之间的一致性度量。在此基础上，提出了语言偏好信息下群决策的接受一致阈值的概念。我们证明了在具有语言偏好关系的群体决策中，个体偏好关系与集体偏好关系之间的一致性大于给定个体偏好关系相对于其他个体偏好关系的加权相似度.研究结果将有助于分析决策者偏好之间的冲突和一致性等关键问题，这些问题会影响具有语言偏好关系的群体决策的一致性。然后为所提出的方法建立了理论基础。最后，将该方法应用于具有语言信息的多属性群决策中个体总体偏好值相对于集体总体偏好值的一致性评价.本文的主要贡献是双重的。一是提出了一种新的方法来衡量在群体决策中的语言偏好信息的个人偏好关系和集体（群体）的偏好关系之间的一致性。另一个是提供一种有效的方法来评估个人的总体偏好值相对于集体的总体偏好值的多属性群决策语言信息。
This paper studies the group decision making problem with linguistic preference relations. We first study the consensus measure between the individual preference relations and the collective (group) preference relation by defining the concept of degree of similarity between two linguistic values and two linguistic preference relations. Then we propose a concept of the acceptance consensus threshold value for group decision making with linguistic preference information. We show that the consensus between individual preference relations and the collective (group) preference relation is greater than the weighted similarity degree of a given individual preference relation with respect to other individual preference relations in group decision making with linguistic preference relations. The results will help in the analysis of crucial issues of conflict and agreement among preferences of decision-makers, which affect the consensus of group decision making with linguistic preference relations. Theoretical foundations are then established for the proposed method. Finally, the proposed method is applied to evaluate the degree of consensus of individual overall preference values with respect to the collective overall preference values for multi-attribute group decision making with linguistic information. The main contribution of this paper is twofold. One is to present a new way to measure the consensus between the individual preference relations and the collective (group) preference relation in group decision making with linguistic preference information. Another is to provide an effective approach to evaluating individual overall preference values with respect to the collective overall preference values in multi-attribute group decision making with linguistic information.
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