区间混合判断矩阵排序的线性目标规划法  

Linear goal programming method for priorities of interval hybrid judgement matrix

作　　者：许叶军[1] 达庆利[1] 

机构地区：[1]南京林业大学经济管理学院

出　　处：《系统工程与电子技术》2008年第6期1079-1081,1085,共4页Systems Engineering and Electronics

基　　金：国家自然科学基金(70472033);南京林业大学科技创新基金(CX07-060-6)资助课题

摘　　要：研究了决策信息以区间混合判断矩阵形式给出的多属性决策问题。基于区间一致性混合判断矩阵的概念,建立了一个线性目标规划模型。通过求解该模型得到区间混合判断矩阵的权向量,并利用已有的区间数比较的可能度公式求得决策方案的排序。该方法具有简洁、实用、易于计算机上实现等特点。最后进行了算例分析。The multi-attribute decision making problem is studied, in which the decision information takes the form of interval hybrid judgement matrix. Based on the concept of interval consistent hybrid judegement matrix, a linear goal programming model is established. By solving the model, the weight vector of interval hybrid judegement matrix is obtained. By using an existing priority formula of interval number possibility degree, the decision alternatives are ranked. The developed method is simple, practical and easy to implement on computer. Finally, a numerical example is given.

关 键 词：区间混合判断矩阵 线性目标规划 可能度 

分 类 号：C934[经济管理—管理学]