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 fuzzy consistent Generalized Fuzzy Consistent Matrix and its Priority Method 广义模糊一致性矩阵及其排序方法 Fuzzy Consistent Matrix Based on AHP and Its Application 基于层次分析的模糊一致性判断矩阵及其应用 Using the three standard degree method, this paper constructed the Fuzzy consistent matrix, and given the application of this method. 运用AHP三标度法构造模糊一致性矩阵，并给出其应用 When the comparison in pair and judgment is uncertain or fuzzy, we use Triangular Fuzzy Number to express the judgment, and set up triangular fuzzy number reciprocal judgment matrix and average value matrix with 0.1 ~ 0.9 standard degree, derive fuzzy consistent judgment matrix using transformation formulas. Finally, an algorithm of priority and formulas is given. 对于一类判断为模糊、不确定性问题,用三角模糊数描述其判断,采用0.1～0.9标度,建立三角模糊数互补判断矩阵和均值矩阵,利用数学变换得到模糊一致性判断矩阵,给出排序向量的算法及公式。 Traditional grouping method could not use all attributes of entity and fuzzy correlation space based approach needed more match computation. Fuzzy grouping method added two new techniques based on the fuzzy correlation space approach: fuzzy consistent relation based weight distribution and grid based preprocessing. 由于传统的分组方法不能充分利用实体所有的属性，而基于模糊关联空间的分组方法需要过多的运算量，本文提出一种模糊分组方法，该分组方法在基于模糊关联空间方法的基础上加入基于模糊一致性的权值分配方法和基于格子的预处理分组方法。 This paper gives concepts of generalized fuzzy consistent matrix and rank transitive fuzzy complementary judgement matrix, etc. , and presents a method for priority of generalized fuzzy consistent matrix. 给出了广义模糊一致性矩阵 ,序传递模糊互补判断矩阵等新概念 ,提出了广义模糊一致性矩阵的一种排序方法 ,并详细研究了它的一些优良性质。 The generalized fuzzy consistent matrix and its priority method will be of great practical appeal and application potential in many areas such as the hierarchy analytic process, fuzzy complex evaluation, etc. 广义模糊一致性矩阵及其排序方法在层次分析、模糊综合评判等诸多领域将有着广泛的应用前景。 This paper is based on the AHP three standard degree method arrangement,which defines the membership degree at k position in scheme A i and gives a group arrangement method. Meanwhile,a structure fuzzy consistent matrix is given by using the three standard degree method. 在AHP三标度法排序的基础上 ,定义了方案Ai在第k位的隶属度 ,给出一种群体排序方法 ,同时利用三标度法也给出一种构造模糊一致性矩阵的方法 . Based on the AHP three standard degree method arrangement that defines the membership degree at \\$k\\$ position in scheme \\$A\-i\\$, this paper provides a group arrangement method. Meanwhile, a method that constructs fuzzy consistent matrix is given by using the three standard degree method. 在 AHP三标度法排序的基础上 ,定义了方案 Ai在第 k位的隶属度 ,给出一种群体排序方法 ,同时利用三标度法也给出一种构造模糊一致性矩阵的方法 This paper gives an analysis for the parameters in the transformation formulas of the fuzzy consistent judgement matrix and presents a formula for priority of fuzzy complementary judgement matrix,and extends it to group decision making. 对模糊一致性判断矩阵转换公式的参数进行了对比分析 ,给出了模糊互补判断矩阵排序的一个通用公式 ,并且把它推广到群体决策的情形 . The priority formula not only contains the desired properties of the fuzzy consistent complementary judgement matrix and most judgement information,but also needs less time in calculation and is simple,reasonable and effective. It can bring people great convenience in practical applications. 该公式不仅充分包含了模糊一致性判断矩阵的优良特性及其判断信息 ,而且所需计算量小、简洁、合理、有效 ,在实际应用中将给人们带来很大的方便 . The method can not only utilize the characteristics of fuzzy consistent complementary judgement matrix and its judgement information, but also derive the desired priority vector from the original fuzzy complementary judgement matrix directly, and needs less time for obtaining the priority vector. 该法不仅能充分利用模糊一致性判断矩阵的优良特性及其判断信息 ,而且可以直接由原模糊互补判断矩阵求出较为理想的排序向量 ,所需计算量较小。 According to these limitations, this paper presented a new method to construct fuzzy consistent matrix, which was proved to have the characteristics of transitivity, comprehension, and order keeping by using the method of Monte-Carlo, and it could be widely used in decision analysis. 针对这一问题 ,提出应用一种新的方法来构造模糊一致性矩阵 ,并应用蒙特卡罗方法证明该矩阵具有传递性、可综合性和保序性的特征 ,从而可以在决策分析中得到广泛的应用 ; When the comparison in pair and judgment are uncertain or fuzzy in AHP, we use random variables and fuzzy interval to express the judgment,and set up fuzzy complementary judgment matrix with 0.1~0.9 standard degree, derive fuzzy consistent judgment matrix using transformation formulas. Finally,an algorithm for priority and formulas is given. It can bring people great convenience in practical applications. 对于 AHP中一类判断为模糊、不确定性问题 ,用随机变量和模糊区间描述其判断 ,采用 0 .1～ 0 .9标度 ,建立模糊互补判断矩阵 ,利用数学变换得到模糊一致性判断矩阵 ,给出排序向量算法及公式 ,便于实际应用

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