多粒度语言信息判断矩阵的满意一致性判定方法研究

首先对多粒度语言判断矩阵定义了导出函数,相应地得到多粒度语言判断矩阵的互补导出矩阵,针对多粒度语言判断矩阵的互补导出矩阵,提出了多粒度语言判断矩阵满意一致性的新概念,并通过定义多粒度语言判断矩阵的偏好关系矩阵,给出了满意一致性的充分必要条件,进一步提出了多粒度语言判断矩阵的满意一致性的判定方法和基于满意一致性的语言判断矩阵方案优劣的排序算法。最后通过具体实例说明多粒度语言判断矩阵的满意一致性的判定方法和基于满意一致性的语言判断矩阵方案优劣的排序算法具有可行性与有效性。

A Method of Determining Satisfying Consistency of Judgment Matrices with Multi-Granularity Linguistic Terms

First, the deduced function of multi-granularity linguistic judgment matrices is introduced, correspondingly, the deduced matrices of multi-granularity linguistic judgment matrices is defined.On the basis of these definitions, satisfactory consis-tency of multi-granularity linguistic judgment matrices and preference relation matrix are then presented .The sufficient and neces-sary conditions of a multi-granularity linguistic judgment matrix to fulfill satisfactory consistency are obtained .Furthermore, a judg-ment method is given to determine whether the linguistic judgment matrix has satisfying consistency .According to the judgment method, the approach for ranking alternatives based on the linguistic judgment matrix is also obtained .Finally, an example shows the effectiveness of the proposed method.