Some issues on consistency of fuzzy preference relations
Some issues on consistency of fuzzy preference relations
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DOI：
10.1016/s0377-2217(02)00725-7
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发表时间：
2004-04-01
影响因子：
6.4
通讯作者：
Luque, M
中科院分区：
文献类型：
--
作者：
Herrera-Viedma, E;Herrera, F;Luque, M
摘要在决策过程中，为了避免误导解的产生，研究决策者通过偏好关系表达意见时的一致性就成为一个非常重要的方面。在基于模糊偏好关系的决策问题中，一致性的研究与传递性的研究是联系在一起的。本文给出了模糊偏好关系的一致性的一个新的刻画，该刻画由模糊偏好关系的可加传递性定义。利用这一新的特征，提出了一种从一组n - 1个偏好数据中构造一致模糊偏好关系的方法。应用该方法可以保证决策者提供的模糊偏好关系具有较好的一致性，从而避免决策过程中的不一致解。此外，一个类似的研究一致性的情况下，乘法偏好关系。(C)2002 Elsevier B. V.保留所有权利。
in decision making, in order to avoid misleading solutions, the study of consistency when the decision makers express their opinions by means of preference relations becomes a very important aspect in order to avoid misleading solutions. In decision making problems based on fuzzy preference relations the study of consistency is associated with the study of the transitivity property. In this paper, a new characterization of the consistency property defined by the additive transitivity property of the fuzzy preference relations is presented. Using this new characterization a method for constructing consistent fuzzy preference relations from a set of n - 1 preference data is proposed. Applying this method it is possible to assure better consistency of the fuzzy preference relations provided by the decision makers, and in such a way, to avoid the inconsistent solutions in the decision making processes. Additionally, a similar study of consistency is developed for the case of multiplicative preference relations. (C) 2002 Elsevier B.V. All rights reserved.