基于AHP的模糊线性规划求解方法  

Fuzzy linear programming approach based on AHP

作　　者：胡子义[1] 谭水木[1] 

机构地区：[1]许昌学院计算机科学系,河南许昌461000

出　　处：《计算机工程与设计》2007年第21期5203-5205,共3页Computer Engineering and Design

摘　　要：对于基于AHP的多准则分析过程,存在不一致区间判断的复杂评估问题。通过有下限和上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 is a complex evaluation process ofinconsistent interval judgement while multiple criteria analysis is made in the analytic hierarchy process. The comparison ratios of elements＇ importance as interval with lower and upper bounds are presented. 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 线性规划 多准则分析 模糊评估 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构]