运筹与管理2013,Vol.22Issue(1):54-58,5.
基于残缺互补判断矩阵的一种群决策模型
A Group Decision-Making Model Based on Incomplete Complementary Judgment Matrices
摘要
Abstract
This paper discusses group decision-making model based on incomplete complementary judgment matrices.Firstly,according to the deviations between the priority vectors of multiplicative consistent incomplete complementary judgment matrices and complementary judgment matrices,the priority vector of incomplete complementary judgment matrix of each expert is obtained by building and solving a nonlinear programming model.Secondly,by minimizing the deviations between priority vectors of incomplete complementary judgment matrix of each expert and complementary judgment matrix of group experts,the priority vectors of group experts is obtained by building and solving a nonlinear programming model.And a group decision-making model based on incomplete complementary judgment matrices is obtained in this paper.Finally,an example is used to illustrate the feasibility and applicability of the proposed method.关键词
群决策/残缺互补判断矩阵/积型一致性/排序/非线性规划模型Key words
group decision-making/ incomplete complementary judgment matrix/ multiplicative consistency/priority/ nonlinear programming model分类
数理科学引用本文复制引用
刘卫锋,周永卫..基于残缺互补判断矩阵的一种群决策模型[J].运筹与管理,2013,22(1):54-58,5.基金项目
河南省自然科学基金(102102310159) (102102310159)
郑州航空工业管理学院青年科研基金(2011113003) (2011113003)