【摘要】 针对群决策中基于语言判断矩阵形式偏好信息的方案排序问题,提出一种新的排序方法。给出有关语言判断矩阵的完全一致性、满意一致性、LOW A算子及图论的连通图和树等若干定义,得出构造具有完全一致性或满意一致性的语言判断矩阵满足的条件。根据图论的无向连通图理论,给出基于语言判断矩阵的群决策的方案排序方法。通过一个算例说明本文提出的分析方法。更多还原

【Abstract】 With respect to the problem of linguistic preference information,this paper proposes a new ranking method.First,the several concepts of linguistic judgment matrices,complete consistency;satisfied consistency;operator of LOWA;connected graph and tree of graph theory are introduced,the condition is obtained that the linguistic judgment matrices have complete consistency or weak consistency.Then,a ranking approach to linguistic judgment matrix is also given based on the defining of undirected connected graph in graph theory.Finally,a numerical example is given to illustrate the use of the method proposed in this paper.更多还原