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区间数的相容性与区间数互补判断矩阵的相容性研究
引用本文:吕跃进,王玉燕,覃柏英.区间数的相容性与区间数互补判断矩阵的相容性研究[J].广西大学学报(自然科学版),2004,29(3):179-182.
作者姓名:吕跃进  王玉燕  覃柏英
作者单位:广西大学,数学与信息科学学院,广西,南宁,530004;广西大学,数学与信息科学学院,广西,南宁,530004;广西大学,数学与信息科学学院,广西,南宁,530004
基金项目:广西大学科研基金(X032016)
摘    要:首先给出了衡量区间数相容性的一个指标。并对区间数的相容性进行了详细研究,然后给出了衡量区间数判断矩阵相容性的一个指标,接着根据区间数互补判断矩阵的特点,又给出了衡量区间数互补判断矩阵相容性的准则。这些结果在群组决策与模糊决策中具有良好的应用前景,有助于进一步提高决策的合理性和有效性。最后进行了算例分析.

关 键 词:区间数  相容性  区间数互补判断矩阵
文章编号:1001-7445(2004)03-0179-04
修稿时间:2004年5月10日

Research on compatibility of interval numbers and compatibility of interval number complementary judgement matrices
L Yue-jin,WANG Yu-yan,QIN Bo-ying.Research on compatibility of interval numbers and compatibility of interval number complementary judgement matrices[J].Journal of Guangxi University(Natural Science Edition),2004,29(3):179-182.
Authors:L Yue-jin  WANG Yu-yan  QIN Bo-ying
Abstract:Firstly,a compatibility index of interval numbers is presented,and the compatibility of interval numbers is studied in detail.Then,a compatibility index of interval number judgement matrices is presented,and according to the characteristics of interval number complementary judgement matrix,a criterion to measure the compatibility of interval number complementary judgement matrices is also provided.These results can help to improve the reasonability and effectiveness of decision,and thus have great practical application prospect in group decision making and fuzzy decision making.Finally,a numerical example is given.
Keywords:interval number  compatibility  interval number complementary judgement matrix
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