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两类模糊数判断矩阵的转换关系及一致性研究
引用本文:苏哲斌.两类模糊数判断矩阵的转换关系及一致性研究[J].数学的实践与认识,2009,39(10).
作者姓名:苏哲斌
作者单位:西安文理学院,数学系,陕西,西安,710065
基金项目:西安文理学院科研专项基金 
摘    要:研究了三角模糊数互反和互补判断矩阵的相互转换和一致性问题.提出了三角模糊数互反判断矩阵完全一致性的定义以及三角模糊数互补判断矩阵加性一致性和乘性一致性的定义,给出了两类模糊数判断矩阵相互转化的公式,论证了转换公式对判断矩阵一致性的保持关系.最后,基于一致性模糊数判断矩阵元素和排序权值的关系,建立了两个方案排序的非线性规划模型.

关 键 词:三角模糊数  互补判断矩阵  互反判断矩阵  一致性  排序

On Transformation Relation and Consistency of Two Kinds of Fuzzy Number Judgment Matrices
SU Zhe-bin.On Transformation Relation and Consistency of Two Kinds of Fuzzy Number Judgment Matrices[J].Mathematics in Practice and Theory,2009,39(10).
Authors:SU Zhe-bin
Abstract:The mutual transformation relation and consistency problems are studied for triangular fuzzy number complementary judgment matrix and triangular fuzzy number reciprocal judgment matrix. Some concepts such as complete consistency for triangular fuzzy number reciprocal judgment matrix and as additive consistency or multiplicative consistency for triangular fuzzy number complementary judgment matrix are introduced. The transformation formula to two kinds of judgment matrix is given and its action is justified in consistency preserving. At last, tow non-linear programming model to ranking is built which based on the connection between the element of judgment and its priority weight value.
Keywords:triangular fuzzy number  complementary judgment matrix  reciprocal judgment matrix  consistency  priority
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