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Youxin LUO
Hunan University of Arts and Science

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The Non-equidistant Multivariable New Information Optimization NMGRM (1,n) Based on New Information Background Value Constructing Youxin LUO; Qiyuan Liu; Xiaoyi CHE
Indonesian Journal of Electrical Engineering and Computer Science Vol 11, No 3: March 2013
Publisher : Institute of Advanced Engineering and Science

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Abstract

Applying the principle in which new information should be used fully and modeling method of Grey system for the problem of lower precision as well as lower adaptability in non-equidistant multivariable MGM(1,n)model, taking the mean relative error as objective function, and taking the modified values of response function initial value as design variables, based on accumulated generating operation of reciprocal number, a non-equidistant multivariable new information optimization MGRM(1,n) model was put forward which was taken the mth component as the initialization. Based on index characteristic of grey model, the characteristic of integral and new information principle, the new information background value in non-equidistant multivariable new information optimization MGRM(1,n) was researched and the discrete function with non-homogeneous exponential law was used to fit the accumulated sequence and the formula of new information background value was given. The new information optimization MGRM(1,n) model can be used in non-equal interval & equal interval time series and has the characteristic of high precision as well as high adaptability. Example validates the practicability and reliability of the proposed model. DOI: http://dx.doi.org/10.11591/telkomnika.v11i3.2187
Non-Equidistant Multivariable Model MGRM (1,n) Based on Vector Valued Continued Fraction and Reciprocal Accumulated Generating Operation Youxin Luo
Indonesian Journal of Electrical Engineering and Computer Science Vol 12, No 1: January 2014
Publisher : Institute of Advanced Engineering and Science

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Abstract

Grey system theory is a scientific theory possessed with wide adaptability to study poor information. The construction method of the background value in multivariable grey model was analyzed. The trapezoid formula and extrapolation method using rational interpolation and numerical integration was proposed based on the theory of vector valued continued fractions. And a non-equidistant multivariable grey model MGRM(1,n) was built through applying reciprocal accumulated generating operation. The model is suitable for building both equidistant and non-equidistant models, and it broadens the application range of the grey model and effectively increases both the fitting and the prediction precisions of the model. The applicability and the reliability of the model built were proven by real cases. DOI : http://dx.doi.org/10.11591/telkomnika.v12i1.2709
Co-Authors Qiyuan Liu Xiaoyi CHE