Ranking objects from group decision making with interval-valued hesitant fuzzy preference relations in view of additive consistency and consensus
Ranking objects from group decision making with interval-valued hesitant fuzzy preference relations in view of additive consistency and consensus
复制标题
考虑到加性一致性和共识，利用区间值犹豫模糊偏好关系对群体决策中的对象进行排序
DOI：
10.1016/j.knosys.2018.09.017
复制
发表时间：
2018-12-15
影响因子：
8.8
通讯作者：
Fanyong Meng
中科院分区：
文献类型：
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作者：
Jie Tang;Fanyong Meng
本文主要研究具有区间值犹豫模糊变量的偏好关系，即区间值犹豫模糊偏好关系。这种类型的偏好关系允许决策者在[0,1]中使用多个区间来表示其不确定的犹豫偏好，并且不同区间值的犹豫模糊变量中的区间数可能不同。这赋予决策者更大的灵活性来表达他们对比较对象的偏好。为了从逻辑上计算ivhfpr的优先级权重向量，本文定义了ivhfpr的加性一致性概念。然后，构造了0-1混合规划模型来判断ivhfpr的可加一致性，并给出了一种推导可加一致性ivhfpr的方法。利用基于加性一致性的概率分布，提出了两种计算加性一致性ivhfpr优先级权重向量的方法。利用第二种方法，我们进一步讨论了ivhfpr的群体决策。为此，定义了群体共识指数，并提出了提高群体共识水平的方法。在此基础上，提出了一种不完全不一致的群体决策方法。最后，通过两个实例说明了新方法的应用，并进行了对比分析。(C) 2018 Elsevier B.V.版权所有
This paper focuses on preference relations with interval-valued hesitant fuzzy variables, namely, interval valued hesitant fuzzy preference relations (IVHFPRs). This type of preference relations permits the decision makers to apply several intervals in [0, 1] to denote their uncertain hesitancy preferences, and the numbers of intervals in different interval-valued hesitant fuzzy variables may be different. This endows the decision makers with more flexibility to express their preferences for compared objects. To calculate the priority weight vector from IVHFPRs logically, this paper defines an additive consistency concept for IVHFPRs. Then, 0-1 mixed programming models are constructed to judge the additive consistency of IVHFPRs, and a method for deriving additively consistent IVHFPRs is introduced. Using the additive consistency based probabilistic distribution, two methods for calculating the priority weight vector from additively consistent IVHFPRs are proposed. In virtue of the second method, we further discuss group decision making with IVHFPRs. To do this, a group consensus index is defined, and an approach to increase the consensus level is offered. After that, a group decision-making method with incomplete and inconsistent IVHFPRs is presented. Finally, two practical examples are selected to show the application of the new method, and comparison analysis is also made. (C) 2018 Elsevier B.V. All rights reserved.