基于可变模糊数据包络分析的多目标决策模型

多目标决策问题的两个关键步骤是各指标权重的确定和距离函数基准点的选择.为直接从数据集中挖掘指标权重,获取样本的一致性排序,研究了样本权重未事先确定的多目标决策问题,建立了一种先优化每个指标的客观权重使赋权后每个样本综合属性值趋于理想值;再通过相对距离测定,利用可变模糊模型计算样本相对隶属度矩阵的两阶段决策模型,最后给出了应用算例并同其他方法进行了对比分析.结果显示这种新方法计算结果稳定,能够对样本进行有效排序,不仅可以有效解决数据包络分析模型解不唯一的问题,而且满足样本与理想点和非理想点距离之和为1的条件,生成一致排序.

Multiple criteria decision model based on variable fuzzy data envelopment analysis

The problems of robust passivity analysis and synthesis for a class of discrete\|time switched delay systems are studied. Based on the average dwell time approach, the piecewise Lyapunov function method and the free\|weighting matrix technique, the sufficient conditions of robust exponential stability and passivity are developed under switching signals with average dwell time. Then, the solvability conditions are given in terms of linear matrix inequalities (LMIs). One numerical example illustrates the effectiveness of the proposed method.