基于一般灰数的广义灰色关联分析模型

Generalized Grey Incidence Analysis Model Based on General Grey Number

针对一般灰数在复杂系统信息表征中应用时,缺乏相应的广义灰色关联度模型。文章基于核与灰度的思想,提出了一般灰数的核期望与核方差的排序方法。依广义灰色关联度的研究路径,研究了一般灰数的绝对关联度和相对关联度模型及相似性关联度和接近性关联度模型。进而构建一般灰数的关联决策模型。算例表明了该模型的科学性和有效性。

For the application of general grey numbers in information representation of complex systems, there is no corresponding generalized grey incidence model. This paper proposes the sorting method of generalized grey number expectation and variance of kernel based on the idea of kernel and degree of greyness. According to the path of generalized degree of grey incidence, the paper also studies the model of absolute and relative degree of grey incidence of generalized grey number and that of similitude and closeness of grey incidence, and then incidence decision-making model of generalized grey number is constructed. An example shows that the proposed model is scientific and effective.