Grey New Information Unbiased GRM(1,1) Model Based on Accumulated Generating Operation in Reciprocal Number and its Application

Author:

Xiao W.Y.1,Luo Y.Y.1,Che Xiao Yi1

Affiliation:

1. Hunan University of Arts and Science

Abstract

Monotonically decreasing sequence data for the traditional modeling method using the gray model accuracy is not high , and GM (1, 1) modeling method has inherent deviation , Model does not meet the compatibility condition, using Accumulated Generating Operation in reciprocal number ,make best use of last information and GM (1, 1) modeling , is deduced and the parameters optimization grey derivative calculation formula ,and then established GRM(1,1) based on accumulated generating operation in reciprocal number on the equidistance, Gray provides a new method of modeling . Data processing examples show that the model's practicality and reliability.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Reference11 articles.

1. Y.X. Luo L.T. Zhang and M. Li: Grey systems and applications in mechanical engineering. (National University of Defence Technology Press, Changsha, 2001).

2. Y. Mu: System Engineering and Electronics, Vol. 25, No. 9(2003), pp.1094-1095, 1107.

3. Z.M. Song, J.L. Deng: Systems Engineering, Vol. 19, No. 1(2001), pp.66-69.

4. B. H. Yang., Z.Q. Zhang: Mathematics in Practice and Theory, Vol. 33, No. 10 (2003), pp.21-25.

5. ,W.X. G Zhui: Trans. of Shenyang Ligong University, Vol. 27, No. 4(2008), pp.84-86.

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