针对具有多粒度语言评价信息的多属性群决策问题,提出了一种基于二元语义信息处理和相对熵的群决策方法。该方法首先给出了多粒度语言评价信息一致化为由基本语言评价集表示的相同粒度二元语义信息的方法,然后对于属性权重信息不完全的情形,建立了基于相对熵的多目标规划模型获得相应的属性权重,并利用二元语义的集结算子对语言评价信息进行加权集成,从而获得各个决策方案的排序和择优结果;最后给出一个实例分析,说明了该方法的有效性和可行性。
A new method is proposed for multiple attribute group decision making problems with multi-granularity linguistic assessment information,based on two-tuple linguistic information and relative entropy.Firstly,a transformation function is given to uniform the multi-granularity linguistic preference information into the form of twotuple linguistic information in basic linguistic term set.Then,a multi-objective programming model based on relative entropy,by which the attribute weight information is incomplete,is established.By solving this model,the attribute weights can be determined.The two-tuple aggregation operator is utilized to aggregate the linguistic assessment information corresponding to each alternative 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 method.