有风险偏好的区间直觉模糊多属性的意见集中排序法.PDF

第 30 卷 第 6 期 湖 南 工 业 大 学 学 报 Vol.30No.6 2016 年 11 月 Journal of Hunan University of Technology Nov.2016 doi:10.3969/j.issn.1673-9833.2016.06.014 有风险偏好的区间直觉模糊多属性的 意见集中排序法 徐 婷，成央金 （湘潭大学数学与计算科学学院，湖南湘潭 411105） 摘 要：针对属性值为区间直觉模糊数的多属性群决策问题，考虑决策者风险偏好和属性权重不完全 确定的情况，提出一种新的意见集中排序法。首先根据定义的得分函数对决策矩阵中的评价值比较大小， 进而对方案排成线性序；然后基于新的排序方法，建立模型获得属性权重值，并利用加权平均算子对方案 集结，得到排序方案。最后，通过数值实例验证该方法的可??性。 关键词：风险偏好；区间直觉模糊数；多属性决策；意见集中排序；得分函数 中图分类号：O223；C934 文献标志码：A 文章编号：1673-9833(2016)06-0075-07 A Method of Attitudes Concentrated Order of Interval-Valued Intuitionistic Fuzzy Multiple Attributes with Risk Preference XU Ting， CHENG Yangjin （School of Mathematics and Computation Science，Xiangtan University，Xiangtan Hunan 411105，China） Abstract：In view of the fact that a multiple attribute group decision-making problem arises where attribute values are provided as interval-valued intuitionistic fuzzy numbers, a new method of attitudes concentrated order has been proposed, , taking into consideration the situations where the decision maker s risk preferences and attribute weights are not com- pletely determined. Firstly, a comparison has been made of the evaluation values in the decision matrix according to the defined score function, followed by an arrangement of the schemes in linear sequence. Secondly, the attribute weights can be obtained with a model built on the basis of this new ranking method, and an ultimate ordering scheme can be worked out by taking advantage of the weighted average operator to aggregate all the schemes. Finally, a numerical example is given to verify the feasibility of this method. Keywords：risk pr