Some Algorithms for Group Decision Making with Intuitionistic Fuzzy Preference Information
Some Algorithms for Group Decision Making with Intuitionistic Fuzzy Preference Information
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DOI：
10.1142/s0218488514500251
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发表时间：
2014-08
期刊：
影响因子：
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通讯作者：
Huchang Liao;Zeshui Xu
中科院分区：
文献类型：
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作者：
Huchang Liao;Zeshui Xu
直觉模糊偏好关系是表达决策者偏好信息的一种强有力的结构，特别是当决策者由于信息不可量化、信息不完全、信息不可获取、部分无知等原因而无法准确表达其偏好时，直觉模糊偏好关系更能有效地表达决策者的偏好信息。研究了具有直觉模糊偏好信息的群决策问题。基于直觉模糊偏好关系的乘性一致性，提出了三种直觉模糊群决策算法。在决策者作为独立个体的情况下，每个决策者的优先权向量可以直接从个体直觉模糊偏好关系导出，然后通过将这些个体优先权合成在一起来获得总体优先权向量。针对决策者为一个个体的情形，提出了两种基于乘性一致性的算法。前者的主要思想是首先建立一个社会直觉模糊偏好关系，后者的主要思想是建立一个分式规划模型。给出了一些实际的例子来证明所开发的算法。
Intuitionistic fuzzy preference relation has turned out to be a powerful structure in representing the decision makers' preference information especially when the decision makers are not able to express their preferences accurately due to the unquantifiable information, incomplete information, unobtainable information, partial ignorance, and so forth. The aim of this paper is to develop some techniques for group decision making with intuitionistic fuzzy preference information. Based on the multiplicative consistency of intuitionistic fuzzy preference relation, three algorithms are proposed for intuitionistic fuzzy group decision making. In the case that the decision makers act as separate individuals, the priority vector of each decision maker can be derived directly from the individual intuitionistic fuzzy preference relation, after which an overall priority vector is obtained by synthesizing those individual priorities together. As for the scenario that the decision makers act as one individual, two different algorithms based on the multiplicative consistency are proposed to deal with this case. The main idea of the former procedure is firstly constructing a social intuitionistic fuzzy preference relation, while that of the later is building a fractional programming model. Some practical examples are given to demonstrate the developed algorithms.