基于后悔理论及云模型的多属性群决策方法  

Multi-attribute Group Decision Making Method based on Regret Theory and Cloud Model

作　　者：姚远 YAO Yuan(School of Economics and Management,Shenyang Institute of Engineering,Shenyang 110136,China)

机构地区：[1]沈阳工程学院经济与管理学院,辽宁沈阳110136

出　　处：《数学的实践与认识》2020年第17期22-34,共13页Mathematics in Practice and Theory

基　　金：国家社会科学基金青年项目“生态位视角下新型城镇化适宜度评价指标体系构建及实证研究”(15CGL050)。

摘　　要：针对属性值为不确定语言信息的群决策问题,考虑决策者后悔规避的心理行为特征,提出了一种基于后悔理论及云模型的多属性群决策方法.首先,将不确定语言值转化为云模型;其次,给出一种新的考虑决策者期望的方法求解其权重;然后,通过给出的云模型效用函数构建效用值矩阵,进而通过后悔-欣喜函数构建感知效用矩阵确定方案的综合感知效用,并根据其排序;最后,通过实例说明了方法的可行性和科学有效性.For the group multi-attribute decision making problems in which the attribute values are interval linguistic variables,a decision making method based on regret theory and cloud model is proposed.Firstly,the interval linguistic variables are converted into the cloud model.Then,considering expectations of decision makers,a new weighting method is proposed.Based on regret theory,the utility value matrix of all attribute values is constructed by using the cloud model expected utility function.Furthermore,the perceived value matrix is constructed by using the regret-rejoice function.On the basis of these,the comprehensive perceived values are calculated,a ranking of schemes is determined.Finally,an illustrate example shows that the feasibility and effectiveness of this method.

关 键 词：后悔理论 云模型 群决策 不确定语言值 

分 类 号：O225[理学—运筹学与控制论]