基于投影的多粒度语言信息多属性群决策方法

Projection-based Methods of Multiple Attribute Group Decision Making for Multi-granularity Linguistic Information

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与投影的群决策方法。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,建立了一种基于投影的多目标规划模型,以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;最后通过实例分析,说明了该方法的有效性和可行性。

Based on two-tuple linguistic information and projection,a new method was proposed for multiple attribute group decision making problems with multi-granularity linguistic assessment information.Firstly,a transformation function was given to uniform the multi-granularity linguistic preference information into the form of two-tuple linguistic information in basic linguistic term set.Then,multi-objective programming model based on projection,by which the attribute weight information was incomplete,was established.By solving this model,the attribute weights can be determined.The two-tuple aggregation operator was 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 was given to demonstrate the feasibility and practicability of the proposed method.