To read this content please select one of the options below:

$44.00 (excl. tax) 30 days to view and download

Improved GM(1, 1) model based on concave sequences and its applications

Xinhai Kong, Peng Zhang, Xin Ma

Grey Systems: Theory and Application

ISSN: 2043-9377

Article publication date: 6 November 2017

84

Abstract

Purpose

The purpose of this paper is to improve the GM(1, 1) model based on concave sequences.

Design/methodology/approach

First, the restored sequence of the GM(1, 1) model is proved to be convex, and the residual characters of the GM(1, 1) model for concave sequences are analyzed. Second, two symmetry transformations are introduced to transform an original concave sequence into a convex sequence, and then the GM(1, 1) model is established based on the convex sequence.

Findings

Compared with the traditional modeling method, the new method has high accuracy and is applicable for all concave sequence modeling.

Practical implications

Two cases are used to illustrate the superiority of this modeling method. Case A is to predict China’s per capita natural gas consumption, and case B is to predict the annual output of an oilfield.

Originality/value

The application scope of GM (1, 1) model is greatly extended.

Keywords

Acknowledgements

The relevant research done for this paper has been supported by the key topic of the Oil and Gas Development Research Center of Sichuan Province (No. SKA-02) and the natural fund of the Department of Education of Sichuan Province (No. 14ZB0388).

Citation

Kong, X., Zhang, P. and Ma, X. (2017), "Improved GM(1, 1) model based on concave sequences and its applications", Grey Systems: Theory and Application, Vol. 7 No. 3, pp. 343-352. https://doi.org/10.1108/GS-07-2017-0018

Publisher

:

Emerald Publishing Limited

Copyright © 2017, Emerald Publishing Limited

Related articles