Grey GRM(1, 1) Model Based on Reciprocal Accumulated Generating and Its Application


Aiming the problem of low accuracy during establishing grey model in which monotonically decreasing sequence data and traditional modeling methods are used, this paper applied the reciprocal accumulated generating and the approach optimizing grey derivative which is based on three points to deduce the calculation formulas for model parameters, established grey GRM(1, 1) model based on reciprocal accumulated generating. It provides a new method for the grey modeling. The example validates the practicability and reliability of the proposed model.

Share and Cite:

R. Zou and H. Wu, "Grey GRM(1, 1) Model Based on Reciprocal Accumulated Generating and Its Application," Applied Mathematics, Vol. 3 No. 6, 2012, pp. 554-556. doi: 10.4236/am.2012.36084.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Y. X. Luo, L. T. Zhang and M. Li, “Grey Systems and Applications in Mechanical Engineering,” National University of Defense Technology Press, Changsha, 2001.
[2] Z. M. Song and J. L. Deng, “A Method for Solving the Multi-Objective Assignment Problem with Fuzzy Information,” Systems Engineering, Vol. 19, No. 1, 2001, pp. 66-69.
[3] B. H. Yang and Z. Q. Zhang, “The Grey Model Has Been Accumulated Generating Operation in Reciprocal Number and Its Application,” Mathematics in Practice and Theory, Vol. 33, No. 10, 2003, pp. 21-25.
[4] H. Zhou and X. G. Wang, “An Improvement of the Grey Model GRM(1,1) Generated by Accumulation Operation of Reciprocal Number,” Journal of Shenyang Ligong University, Vol. 27, No. 4, 2008, pp. 84-86.
[5] W. Z. Dai and J. F. Li, “Modeling Research on NonEquidistance GM(1,1) Model,” Systems Engineering Theory & Practice, Vol. 25, No. 9, 2005, pp. 89-93.
[6] Y. X. Luo and J. R. Zhou, “Non-Equidistance GM(1,1) Model and Its Application in Fatigue Experimental Data Processing and On-Line Control,” Journal of Mechanical Strength, Vol. 18, No. 3, 1996, pp. 60-63.
[7] Y. X. Luo, X. Wu and M. Li, “Function-Transfer Method of Parameters Estimation of Grey GM(1,1) Model and Its Application,” Journal of Mechanical Strength, Vol. 24, No. 3, 2002, pp. 450-452.
[8] F. X. Wang, “Improvement on Unequal Interval Gray Forecast Model,” Fuzzy Information and Engineering, Vol. 6, No. 1, 2006, pp. 118-123.a

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.