摘要
针对属性权重信息不完全、属性值信息以不确定语言形式给出的多属性群决策问题,提出了一种决策分析方法.首先,对不确定语言变量进行了描述;然后,给出了求解具有不完全信息的不确定语言多属性群决策问题的计算步骤,其核心是将专家给出的不确定语言决策矩阵集结为具有可能度信息的群决策矩阵,通过计算方案值与理想点的差异值,构建二次规划模型,得到属性权重值,进而可计算出相对接近度,从而得到所有方案的排序结果.最后给出了一个实例分析,结果表明该方法简单可行、便于应用.
To solve the group decision making problems with uncertain linguistic multiple attributes and incomplete information on attribute weights,a decision analysis method was proposed.Describing the uncertain linguistic variables,the calculating steps were given to solve the group decision making problems,among which the core was to aggregate the uncertain linguistic decision matrices provided by experts to a group decision matrix with informative possibility.Then,a quadratic programming model was developed through calculating the deviation values between every alternative and positive/ negative ideal point to determine attribute weights,thus giving the relative proximity of each alternative so as to rank all alternatives.A numerical example was given to illustrate how to use the proposed method and the analysis result showed that the method is simple,feasible and easy to perform.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2010年第4期597-600,共4页
Journal of Northeastern University(Natural Science)
基金
国家优秀创新研究群体科学基金资助项目(70721001)
国家自然科学基金资助项目(70701008
90924016)
中国博士后科学基金特别资助项目(200801394)
关键词
多属性群决策
不确定语言变量
不完全信息
二次规划
方案排序
multiple attribute group decision making
uncertain linguistic variable
incomplete information
quadratic programming
alternatives ranking
