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区间判断矩阵权重求解及一致性检验的目标规划模型
引用本文:李汶华,郭均鹏.区间判断矩阵权重求解及一致性检验的目标规划模型[J].天津理工大学学报,2005,21(3):9-11.
作者姓名:李汶华  郭均鹏
作者单位:天津大学,管理学院,天津,300072
基金项目:国家自然科学基金青年基金资助项目(70001003).
摘    要:区间判断矩阵是区间AHP的重要构成要素.首先定义区间判断矩阵,然后在研究区间向量规范化的基础上,通过建立目标规划(GP)模型,求解区间判断矩阵的区间权重向量.该GP模型的目标值可进一步用来检验区间判断矩阵的一致性.最后给出算例分析.

关 键 词:区间判断矩阵  目标规划  权重  一致性检验
文章编号:1673-095X(2005)03-0009-03

Goal programming model of obtaining interval weights and consistency check of interval judgment matrix
LI Wen-hua,GUO Jun-peng.Goal programming model of obtaining interval weights and consistency check of interval judgment matrix[J].Journal of Tianjin University of Technology,2005,21(3):9-11.
Authors:LI Wen-hua  GUO Jun-peng
Abstract: Interval judgment matrix is the main component of interval analytic hierarchy process. Firstly the interval judgment matrix is defined. Then, on the basis of the study on the standard interval vectors, a goal programming model is built to induce interval weight vector from an interval judgment matrix. Meanwhile, consistency check is made by the optimal value of the GP model. An example is given by the end.
Keywords:interval judgment matrix  goal programming  weight  consistency check
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