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

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.