摘要
针对属性权重部分未知,属性值以不确定语言变量给出的多属性决策问题提出了一种决策方法.首先将决策矩阵加权集成为群的决策矩阵并将其转化为对应的期望加性语言判断矩阵,利用二元语义的一些性质结合属性权重的不确定性建立基于相对熵的多目标规划,同时基于最大离差原则建立多目标规划,用matlab软件求解得到属性权重.并利用二元语义的加权平均算子对评价信息进行加权集成,从而得到各个决策方案的排序和择优结果;最后给出一个算例说明算法的有效性和可行性.
A new method is proposed for multiple attribute group decision making problems with the partly unknown attribute weights and interval linguistic variables property value.The ULWA operator is utilized to aggregate the linguistic assessment information into group information corresponding to each expert weight,and then convert to its corresponding expectations linguistic judgment matrix.Using some properties of two-tuple linguistic information,a multi-objective programming model is based on relative entropy,by which the attribute weight information is incomplete is established.At the same time based on the maximum deviation principles the model is established.By solving them,the attribute weights can be determined.Then two-tuple aggregation operators are used to aggregate linguistic assessment information in order to rank the alternatives and select the most desirable one（s）.Finally,an example is given to demonstrate the feasibility and practicability of the proposed model.
出处
《西南民族大学学报（自然科学版）》
CAS
2012年第1期124-128,共5页
Journal of Southwest Minzu University(Natural Science Edition)
关键词
多属性决策
不确定语言信息
相对熵
二元语义
属性权重.
multiple attribute decision making
uncertain linguistic variable
relative entropy
two-tuple linguistic information
attribute weight
