新的改进AHP算法研究及应用  

A New Improved AHP Algorithm Research and Application

作　　者：曹黎侠[1] 冯孝周[1] 

机构地区：[1]西安工业大学数理系,陕西西安710032

出　　处：《计算机技术与发展》2010年第12期115-117,121,共4页Computer Technology and Development

基　　金：陕西省教育科学计划项目自然专项项目(09JK480);西安工业大学重点教学改革研究项目(Z71112)

摘　　要：构造一致性的判断矩阵是AHP的关键之一,意图提高判断矩阵满足一致性的可能性和AHP的性能。在尽量维护专家提供的原始数据基础之上,对不满足一致性的判断矩阵进行修正,改善了判断矩阵满足一致的可能性;从完全一致性矩阵的充要条件出发,对T.L.Saaty教授一致性的判别准则进行了改进。创立了一种新的改进的AHP算法,并把它应用于学生考查课成绩评定各个指标权值的确定。实例表明,改进的AHP算法较原AHP运算量大幅减少,提高了运行速度。Constructed the judgment matrix which meets the consistency requirement is one of the key issues of AHP,intended to improve the consistency of the possibility of judgment matrix and performance of AHP.Revised judgment matrix which not meeting consistency,to improve original matrix consistency possibility on the basis of maintenance the raw data.From the necessary and sufficient conditions of completely consistent matrix,criteria of consistency of professor T.L.Saaty has been improved.Thereby creat a new improved AHP method,and apply it to examine the course in determining the weights of evaluation indicators by students.Examples show that the improved algorithm is better than the original AHP in significantly reduced computation,improved the running speed.

关 键 词：层次分析法 判断矩阵 一致性 考查课 

分 类 号：O159[理学—数学]