摘要
区间判断矩阵的一致性检验是区间层次分析法的重要组成部分.首先构造了一个线性规划模型,基于此求解了区间判断矩阵的权向量的可行域.当该可行域为空集时,说明了矩阵的不一致性,此时为了进一步检验区间判断矩阵是否具有可接受的一致性,构造了目标规划模型,通过该模型的最优目标值可同时检验区间判断矩阵的一致性和可接受的一致性.文中同时给出了算例.
Consistency check of interval judgment matrix is an important research field of interval analytic hierarchy process. A linear programming model is first proposed to obtain the feasible region of weight vector of the interval judgment matrix. The empty of this region implies the inconsistency of the matrix. Under this situation a goal programming model is set up to check the acceptable consistency further along with consistency by its objective function value. Some examples are also given.
出处
《天津理工学院学报》
2004年第1期68-71,共4页
Journal of Tianjin Institute of Technology
基金
天津大学管理学院青年教师科研基金资助项目
关键词
线性规划
区间判断矩阵
一致性检验
目标规划
interval judgment matrix
consistency check
linear programming (LP)
goal programming(GP)
