基于AHP的模糊线性规划在区域经济评估中的应用  

A fuzzy linear program to evaluating distinct economic based on AHP

作　　者：谭水木[1] 胡子义[1] 

机构地区：[1]许昌学院计算机科学系,河南461000

出　　处：《微计算机信息》2006年第08X期290-292,共3页Control & Automation

基　　金：国家自然科学基金项目编号:60475040

摘　　要：对于区域经济评估,在AHP框架下,存在不一致区间判断的情况。通过运用有上、下限的区间数表示元素之间的比较比率,构造模糊约束集合矩阵,引入模糊集的隶属度函数表示对各种优先权矢量的满意程度,利用线性规划求解具有最大满意度的优先权矢量,得出候选者的总体优先顺序,并举例说明了应用该方法的计算过程。There are inconsistent interval judgements while evaluating distinct economic in the analytic hierarchy process. This paper firstly presents the comparison ratios of elements＇ importance as interval with lower and upper bounds. Secondly, a fuzzy constraint matrix is constructed. Then ,the membership functions of fuzzy set represent the degree of satisfaction with various crisp priority vectors. Lastly, the linear program is applied to obtain an optimal crisp priority vector that maximises the overall degree of satisfaction and the overall priorities of all alternatives are calculated. A numerical example is given to illustrate the application of this approach.

关 键 词：区间比较判断 AHP 模糊规划 区域经济 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构] O221.2[自动化与计算机技术—计算机科学与技术]