生成度量矩阵的新算法及拟度量矩阵的性质研究  

On Studying Property of Quasimeasure Matrix and the New Algorithm of Generating Measure Matrix

作　　者：张三强[1] 周远国[1] 詹棠森[1] 李莉[1] 

机构地区：[1]景德镇陶瓷学院信息工程学院,江西景德镇333403

出　　处：《数学的实践与认识》2011年第10期248-250,共3页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61066003)

摘　　要：阐述了生成度量矩阵的除法变换的新算法,这种算法使计算度量矩阵更简便,使数据的存贮空间大大减少.另外,得到了拟度量矩阵和拟判断矩阵的特征值和特征向量的关系,以及对广义成对比较矩阵和广义度量矩阵的性质进行了研究,这为不严格的成对比较矩阵的权重研究提供了较好的理论方法,为模糊矩阵的研究提供了较好的思想.In this paper,the new algorithm of generating measure matrix is put forword basing on division transformation,this algorithm makes the calculation of measurematrix easier,reducing significantly the data storage space.In addition,the relationship of eigenvalues and eigenvectors on quasimeasure matrix and quasijudgement matrix are got,and property of generalized pair-wise comparison matrix and generalized measure matrix are studied,it provides a better theoretical method for studying weight of nonstrict pair-wise comparison matrix and good idea for studying fuzzy matrix.

关 键 词：拟度量矩阵 拟判断矩阵 除法变换法 

分 类 号：O151.21[理学—数学]