灰关联分析在复杂系统多层次评估中的应用

Application of Grey Relation Analysis to Multi-level Evaluation in Complex Systems

以灰色关联理论为基础 ,根据复杂系统多指标和多层次的特点 ,分别建立了综合关联度模型和最优从属度模型 ,从宏观上提出了解决复杂系统评估的两种新解法 .两种解法均采用灰关联分析思想 ,前者通过理想方案的确立 ,后者通过理想方案与负理想方案的确立求出灰色关联度和最优从属度 。

In this paper ,based on the grey relation theory and the character of multi attribute and multi level in complex systems, synthetic relation degree model and the best affiliate degree model are built up in order to get over the former's limitation. At the same time, two approaches about complex system evaluations are put forward .They are cited the theory of grey relation analysis .The former fix ideal solution but the latter fix ideal solution and ill ideal solution to arrive at grey relation degrees and the best affiliate degrees. At last, all solutions are evaluated for making choice of best one.