一种语言评价信息不完全的多属性群决策方法

A Method of Multi-Attribute Group Decision Making with Incomplete Linguistic Assessment Information

针对语言评价信息不完全的多属性群决策问题,提出了一种基于D-S理论的新决策方法。该方法首先对多个决策者给出不完全的语言评价信息进行分析,得到不同属性下各焦元的基本概率分配函数值,然后通过Dempster-Shafer合成法则对其值进行合成,计算决策方案的信度函数和似真函数值,并据此对所有决策方案进行排序。最后,通过一个算例验证该方法的可行性和有效性。

A new decision making approach based on D-S theory is proposed for the multi-attribute group decision making problem with incomplete linguistic assessment information. First, by analyzing the incomplete linguistic assessment information given by decision makers, the values of the basic probability assignment function of attribute＇s focal elements are computed and integrated by Dempster-Shafer＇s rule of combination. Then the values of belief function and plausibility function are calculated and used to rank all decision alternatives. An example is given to show the feasibility and validity of this method.