基于灰熵优化的加权灰色关联度

Journal of Systems Engineering and Electronics ›› 2010, Vol. 32 ›› Issue (4): 774-776.

基于灰熵优化的加权灰色关联度

王正新¹，党耀国¹，曹明霞²

(1. 南京航空航天大学经济与管理学院，江苏南京 210016；
2. 江苏省社会科学院农村发展研究所，江苏南京 210013)

出版日期:2010-04-23 发布日期:2010-01-03

Weighted degree of grey incidence based on optimized entropy

WANG Zheng-xin¹, DANG Yao-guo¹, CAO Ming-xia²

(1. Coll. of Economics and Management, Nanjing Univ. of Aeronautics and Astronautics, Nanjing 210016, China;
2. Rural Development Inst., Jiangsu Academy of Social Sciences, Nanjing 210013, China)

Online:2010-04-23 Published:2010-01-03

摘要/Abstract

摘要：

基于灰色系统内各因素关系稳定的基本假设和灰内涵序列熵的分析，首次给出了灰关联分析中关联系数权重的确定方法。通过定义加权灰色关联系数分布密度值,构建了灰内涵序列，建立了关联系数权重的优化模型，并以算例验证了该方法的有效性与实用性。结果表明，该方法能够反映不同时点关联系数的重要性，使关联系数的波动性得到了有效控制，解决了局部点关联系数控制整个灰色关联序的问题。

Abstract:

Based on the basic assumption of the stable relationship between various factors in grey systems and the analysis of grey sequence entropy, this paper presents the way of how to fix the weight of an incidence coefficient in grey incidence analysis. By defining the distributing consistency value of the weighted grey incidence coefficients, this paper constructs a grey sequence, establishes an optimized model of the weight of the incidence coefficients and solves it. Moreover, the effectiveness and practicability of this method are verified using an example. The results indicate that this method can reflect the significance of incidence coefficients at different time points, thereby the fluctuation of incidence coefficients can be controlled effectively, and the controlling problem of the whole grey incidence sequence by local point incidence coefficients is solved.

王正新，党耀国，曹明霞. 基于灰熵优化的加权灰色关联度[J]. Journal of Systems Engineering and Electronics, 2010, 32(4): 774-776.

WANG Zheng-xin, DANG Yao-guo, CAO Ming-xia. Weighted degree of grey incidence based on optimized entropy[J]. Journal of Systems Engineering and Electronics, 2010, 32(4): 774-776.