基于残缺语言区间信息的多属性群决策

Multi-attribute Group Decision-Making with Incomplete Interval Linguistic Information

针对属性权重为语言变量、评价信息为残缺语言区间信息的多属性群决策问题,提出了基于改进的模糊区间证据推理的分析方法.首先给出了残缺信息的随机变量表示方法,并根据专家在决策中的重要程度,将专家给出的决策矩阵组合成信任度矩阵,然后采用所提出的改进的模糊区间证据推理方法求得各方案的分布式评价值.计算各方案的模糊评价值,给出方案排序方法.最后给出了一个算例,证明了所提方法的有效性.

With respect to the multi-attribute group decision-making problem in which the attribute weights are linguistic variable and assessment information is incomplete interval linguistic information,a revised fuzzy interval evidential reasoning method was proposed.Firstly,the incomplete information was represented by random variables,and decision matrixes given by experts were combined into a credibility matrix according to the importance degrees of the experts.Then,the distributed assessment values of the alternatives were calculated by using the revised fuzzy interval evidential reasoning method.Further,fuzzy assessment values of all the alternatives were calculated to determine the alternative ranking result.Finally,a numerical example was given to illustrate the effectiveness of the proposed method.