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Journal of Applied Mathematics
Volume 2014, Article ID 568697, 7 pages
http://dx.doi.org/10.1155/2014/568697
Research Article

Grey Relational Analysis and Its Application Based on the Angle Perspective in Time Series

1School of Management, Northwestern Polytechnical University, Xi’an 710129, China
2College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received 20 May 2014; Revised 21 August 2014; Accepted 22 August 2014; Published 3 September 2014

Academic Editor: Li Weili

Copyright © 2014 Guodong Xu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The research scope of grey relational analysis has not been developed in recent years, and the exiting GRA models are all based on three perspectives, including distance perspective, slope perspective, and area perspective. Under this situation, a novel model called grey relational analysis based on angle perspective (GRAAP) was developed in this paper for the first time, and this model can expand the research scope of GRA. Like other GRA models, GRAAP not only has the properties of symmetry, uniqueness, comparability, and so forth but also can be used to make predictions, assessments, classifications, and so on. Finally, this novel model was proved to be rational and effective through a comparative study on the similar degree of four time series.