【作者】 覃菊莹； 吕跃进； 谭阳；

【Author】 QIN Ju - ying, LU Yue - jin, TAN Yang (Department of Mathematics and Informatics, GuangXi University,Naming 530004,China)

【机构】 广西大学数学与信息科学系；

【摘要】 本文通过对灰色判断矩阵中灰元白化值之间关系的研究,定义了灰色判断矩阵一致性,给出并证明灰色判断矩阵包含一致性白化矩阵的一个充分必要条件,提出抽取拟一致性灰色判断矩阵中一致性成分的方法,最后给出了一致性灰色判断矩阵的灰色相对权重的一种简明计算方法并加以证明。更多还原

【Abstract】 By analyzing the relations among the whitened values of every elements in the grey comparison matrix, the consistency of grey comparison matrix is defined, and a necessary and sufficient condition for a grey comparison matrix containing a consistent whitened comparison matrix is given and proved, and a method how to extract the consistent part from grey paraconsistant matrix is proposed. At last, this paper gives and proves a simple and clear method how to get grey sort weights of a consistent gray comparison matrix.更多还原