Study on Complex System Evaluation Method Based on PCA and Grey Relative Degree

Yongchun Li, Baowei Song, Jun Jiang, Guang Pan, Ming Chang

Northwestern Polytechnical University, Xi’an, China.

DOI: 10.4236/ica.2012.31002                

Abstract

The complexity and limited data samples in evaluation of complex system are obstacles for traditional evaluation method. Based on Grey relative degree theory and principal components analysis (PCA) method, a novel systemic evaluation method is put forward in this paper. Firstly, standardization method is modified for evaluation objective, and the method includes expression (2) and (3). Secondly, for few schemes of complex system, grey relative degree, expression (5), is substituted for relation coefficient. At last, validity of the method is verified by evaluating 3 schemes of a type of UUV.

Keywords

Complex System; Systemic Evaluation; PCA, Grey Relative Degree

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	X. Bian, H. P. Tian and Y. J. Guo, “The Supplier Dynamic Evaluation Method with the Character of Stimulation,” Nankai Business Review, Vol. 7, No. 4, 2004, pp. 55-58.
[2]	W. M. Hong and J. Liu, “A Survey on Supply Chain Performance Measurement,” Commercial Research, No. 8, 2006, pp. 17-21.
[3]	M. Wise, “Adapting Multivariate Analysis for Monitoring and Modeling of Dynamic Systems,” Master Thesis, University of Washington, Washington DC, 1991.
[4]	F. B. Jonathan and F. S. Stephen, “A Tradeoff Analysis for Rough Terrain Cargo Handlers Using the AHP: An Example of Group Decision Making,” IEEE Transactions on Engineering Management, Vol. 37, No. 3, 1990. pp. 222-228. doi:10.1109/17.104292
[5]	K. Cengiz, C. Ufuk and U. Ziya, “Multi-Criteria Supplier Selection Using Fuzzy AHP,” Logistics Information Management, Vol. 16, No. 6, 2003, pp. 382-394. doi:10.1108/09576050310503367
[6]	R. T. Umut, E. Arzum and A. G?ner, “Solving a Layout Design Problem by Analytic Hierarchy Process (AHP) and Data Envelopment Analysis (DEA) Approach,” Proceeding of SPIE: The International Society for Optical Engineering, Vol. 5262, Providence, 29 October 2004, pp. 232-239.