考虑标度的加型一致性模糊判断矩阵的排序方法

通过实例说明相关文献中加型一致性模糊判断矩阵排序方法的参数取值存在的问题,分析出该问题是由于其公式证明中没有区分标度导致的,指出其结论适用于0～1标度的加型一致性模糊判断矩阵.然后,重新证明了0.1～0.9标度下的加型一致性模糊判决矩阵的排序方法和相关结论.最后,定义了广义模糊标度,并给出广义模糊标度下加型一致性模糊判断矩阵的排序方法和相关结论,使得相关文献中排序方法和相关结论实现形式上的统一.

Ranking method of additive consistent fuzzy judgment matrix considering scale

It is found from the numerical example that the range of parameter in the ranking method of additive consistent fuzzy judgment matrix in the related literatures is not appropriate, and by analyzing the process of proof, the problem existed in the ranking method is due to indiscriminate scale. Hereby, it is pointed out that the series of results in the related literatures are only suited to additive consistent fuzzy judgment matrix in scale 0~1. Then, based on scale 0.1~0.9, the ranking method and results about additive consistent fuzzy judgment matrix are reproved. Finally, generalized fuzzy scale is defined, and the ranking method and results about additive consistent fuzzy judgment matrix with generalized fuzzy scale are discussed, which realized the ranking methods and results in the related literatures unification in forms.