Derivation of intuitionistic fuzzy weights based on intuitionistic fuzzy preference relations
Derivation of intuitionistic fuzzy weights based on intuitionistic fuzzy preference relations
复制标题
基于直觉模糊偏好关系的直觉模糊权重推导
DOI：
10.1016/j.apm.2013.01.021
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发表时间：
2013-05-01
影响因子：
5
通讯作者：
Wang, Zhou-Jing
中科院分区：
文献类型：
--
作者：
Wang, Zhou-Jing
本文提出了一种线性目标规划模型，用于从直觉模糊偏好关系推导直觉模糊权重。提出了直觉模糊偏好关系的加性一致性和弱传递性的新定义，并研究了它们的相应性质。对于任意给定的归一化直觉模糊权重向量，给出了将权重向量转化为一致直觉模糊偏好关系的转换公式。对于任意的直觉模糊偏好关系，建立了一个线性目标规划模型，通过最小化其与转换后的一致直觉模糊偏好关系的偏差来确定其直觉模糊权重.这种方法，然后扩展到群体决策的情况。三个数值算例验证了模型的有效性和适用性。(C)2013 Elsevier Inc. All rights reserved.
This paper proposes linear goal programming models for deriving intuitionistic fuzzy weights from intuitionistic fuzzy preference relations. Novel definitions are put forward to define additive consistency and weak transitivity for intuitionistic fuzzy preference relations, followed by a study of their corresponding properties. For any given normalized intuitionistic fuzzy weight vector, a transformation formula is furnished to convert the weights into a consistent intuitionistic fuzzy preference relation. For any intuitionistic fuzzy preference relation, a linear goal programming model is developed to obtain its intuitionistic fuzzy weights by minimizing its deviation from the converted consistent intuitionistic fuzzy preference relation. This approach is then extended to group decision-making situations. Three numerical examples are provided to illustrate the validity and applicability of the proposed models. (C) 2013 Elsevier Inc. All rights reserved.