【摘要】 语言判断矩阵是决策者给出的一种重要的偏好信息形式。本文定义了语言判断矩阵对应的导出矩阵,语言判断矩阵一致性等概念,研究了语言判断矩阵导出矩阵与其特征矩阵的相容性和一致性的关系,在此基础上定义了语言判断矩阵与其特征矩阵的偏差矩阵,由此给出了语言判断矩阵不一致性调整的新方法。实例分析表明该方法行之有效。更多还原

【Abstract】 Judgment matrix with linguistic terms is a kind of important preference information form provided by decision maker. The corresponding deduced matrices of linguistic judgment matrices and the consistency of linguistic judgment matrix are defined in this paper. We study the relation of consistency and compatibility between deduced matrices of linguistic judgment matrix and characteristic matrix. On the basis of these definitions and results,a deviation matrix is defined which can reflect the difference of linguistic judgment matrix and its characteristic matrix.Finally,a new method of adjusting the inconsistency of judgment matrices with linguistic terms based on compatibility is given. An example shows the feasibility and effectiveness of this method.更多还原