模糊一致判断矩阵3种排序方法的比较研究  

Comparison of Three Ranking Methods for the Fuzzy Consistent Judgement Matrix

作　　者：张吉军[1] 

机构地区：[1]西南石油学院工商管理学院,四川成都610500

出　　处：《系统工程与电子技术》2003年第11期1370-1372,共3页Systems Engineering and Electronics

基　　金：油气藏地质及开发工程国家重点实验室"开放基金资助课题(PLN0140)

摘　　要：对模糊一致判断矩阵排序的方根法、按行求和归一化法、基于模糊一致判断矩阵元素与权重的关系式的排序方法进行了比较分析,找出了3种排序方法之间的关系,说明了根据模糊一致判断矩阵元素与权重的关系式给出的排序方法的科学性和可行性,以及另外两种方法存在的不足。研究结果表明,基于模糊一致判断矩阵元素与权重关系式的排序方法有助于人们正确使用模糊一致判断矩阵的排序公式,丰富了模糊决策分析的理论和方法。Three ranking formulas of fuzzy consistent judgement matrix are analysed comparatively in this paper, which are square root method, sumproduct method, and the ranking method given by the relation between the weight and the elements of fuzzy consistent judgement matrix. Firstly, it is illustrated that the ranking formula according to the relation between the weight and the elements of fuzzy consistent judgement matrix is scientific and feasible. Then the relation of three ranking method and the disadvantages existing in square root method and sumproduct method are discussed. The conclusion of this paper is helpful to the correct application of the ranking formula of fuzzy consistent judgement matrix, enriching the theory and method of fuzzy decision making.

关 键 词：模糊判断矩阵 排序方法 对比分析 

分 类 号：TN945.25[电子电信—信号与信息处理]