多目标模糊优选权敏感分析及其应用  

Power sensitive analysis of multi-objective fuzzy optimal selection model and its application

作　　者：陈守煜[1] 刘金禄[1] 

机构地区：[1]大连理工大学土木工程系,辽宁大连116024

出　　处：《大连理工大学学报》2002年第4期477-479,共3页Journal of Dalian University of Technology

摘　　要：研究了多目标模糊优选模型的权敏感性质 ,导出了权扰动方程 .找到了转移矩阵之范数的一个万有上界 .据此给出了保持最优决策序列不变的权扰动条件 ,即 |Δwi| <h/4 m,其中 h为目标相对优属度间的最小间隙 ,m为目标数 .举例说明了这些结果在水电规划方案优选计算中的应用 ,得到了保持最优序列不变的权扰动容许范围 ,结果表明该方法简单实用 .The power sensitive properties of the multi-objective fuzzy optimal selection model were studied. A power variant transfer equation is given, and a universal superior bound number of the transfer matrix is also obtained. Furthermore, a power variant condition persevering fuzzy optimum decision-making series is given, that is [Δwi]<h/4m. An example applied to hydro-electric system decision-making is also given, where an open interval for keeping the ranking of alternatives unchanged is obtained. It is proved that the method is simple and practical.

关 键 词：多目标模糊优选模型 权敏感分析 权扰动方程 权系数 最优决策序列 水电规划 

分 类 号：O159[理学—数学] O221.6[理学—基础数学]