On priority weights and consistency for incomplete hesitant fuzzy preference relations

On priority weights and consistency for incomplete hesitant fuzzy preference relations
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不完全犹豫模糊偏好关系的优先级权重和一致性

DOI:
10.1016/j.knosys.2017.12.010
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发表时间:
2017-12
影响因子:
8.8
通讯作者:
Guo Chonghui
Guo Chonghui
中科院分区:
计算机科学1区
文献类型:
--
作者:
Zhang Zhen;Kou Xinyue;Yu Wenyu;Guo Chonghui

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犹豫模糊偏好关系(HFPR)是决策者获取偏好信息的有效工具。本文首先提出了一种利用对数最小二乘法从不完全HFPR中获得优先权向量的方法。在优先权向量的基础上,定义了不完全HFPR的一致性指标,计算优先权向量与不完全HFPR所有元素之间的平均偏差。对于一个不完全的HFPR,这是不可接受的一致性,一个自动算法的发展,以提高一致性。这些结果,然后扩展到提出一个新的程序,群体层次分析法处理多准则群体决策问题。数值算例验证了所提方法的可行性和有效性。
The hesitant fuzzy preference relation (HFPR) is a useful tool for decision makers to elicit their preference information over a set of alternatives. In this paper, it is first proposed an approach to deriving a priority weight vector from an incomplete HFPR using the logarithmic least squares method. Based on the priority weight vector, the consistency index of an incomplete HFPR is defined, which calculates the average deviation between the priority weight vector and all elements of the incomplete HFPR. For an incomplete HFPR which is unacceptably consistent, an automatic algorithm is developed to improve the consistency. These results are then extended to propose a new procedure for group analytic hierarchy process to deal with multi-criteria group decision making problems. The feasibility and effectiveness of the proposed approaches are demonstrated by some numerical examples.
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