摘要
为了弥补相对关联度,绝对关联度和综合关联度在取值范围上存在的不足,试图做了以下改进。引入可调因子和空间距离来调节,构建新模型,证明了改进的模型满足灰色关联公理,能够使关联度的值分布到(0,1]这一更大的区间。提出新模型的准优解所满足的4个原则,如:保序性原则、极差最大化原则、对称性原则以及数值分布区间个数之和最大化原则,并根据灵敏性分析理论总结了具体算法。结合实例,对各类关联度分析模型在性能上进行比较,进而验证了新模型的合理性和实用性。
In order to make up for the defect that relative degree of incidence, absolute degree of incidence and synthetic degree of incidence are limited in the range of （0.5, 1], this paper attempts to improve the degree of grey incidence. A control factor of ＂2 ＇＂ and the metric space are set up to adjust. A new model is established and its specific properties are studied. It is proved that the new model satisfies the grey incidence axioms and the range of degree of grey incidence can be extended to （0, 1]. We put forward four principles of the quasi-optimal value, and summarize the specific algorithm steps according to sensitivity analysis. The performances of all kinds of analysis models of degree of incidence are compared and the quasi-optimal value is obtained. In addition, the paper succeeds in showing that the new model not only keeps the original relation order, but also extends the range of degree of grey incidence to a broader scope, and improves the resolution.
出处
《系统仿真学报》
CAS
CSCD
北大核心
2018年第1期80-90,共11页
Journal of System Simulation
基金
Hujiang Foundation of China (A14006), Shanghai First-class Academic Discipline Project (S 1201YLXK)
关键词
灵敏性分析
综合关联度
算法
优化
sensitivity analysis
synthetic degree of incidence
algorithm
optimization
