语言判断矩阵的满意一致性检验方法

分析了语言判断矩阵具有满意一致性定义的合理性, 定义了一个满意的一致性指标; 给出了满意一致性指标的计算方法, 通过该方法可以找出语言判断矩阵中所有不合逻辑的判断元素组,判定语言判断矩阵的满意一致性程度, 有效地解决存在两个方案无差异的语言判断矩阵的满意一致性的判定问题; 最后通过两个实例表明该方法的有效性和适用性.

Method for measuring the satisfactory consistency of a linguistic judgement matrix

We first analyze the rationality of the existing definitions on the satisfactory consistency of a linguistic judgement matrix, give a notion of the satisfactory consistency index and present a method to compute the index. Using the method, we can measure the satisfactory consistency of the linguistic judgement matrix, find out all the teams of the judgment elements that are illegitimate in the linguistic judgement matrix, and then, we solve the problem that there is no judgement method for the satisfactory consistency of a linguistic judgement matrix with non-strict pairwise comparison information. Finally, we illustrate the validity and potential practicality of this method with two examples.