A new grey relational analysis model of cross-sequences
Grey Systems: Theory and Application
ISSN: 2043-9377
Article publication date: 11 January 2024
Issue publication date: 8 March 2024
Abstract
Purpose
The purpose of this paper is to explore a new approach to solve the problem of positive and negative offset in the calculation process of integral elements, then propose a series of new grey relational degree model for cross sequences.
Design/methodology/approach
The definitions of cross sequences and area elements have been proposed at first. Then the concept of difference degree between sequences has been put forward. Based on the definition of difference degree between sequences, various modified grey relational degree models for cross sequences have been proposed to solve the measurement problem of cross sequence correlation relationships.
Findings
(1) The new definition of cross sequences; (2) The area element; (3) Various modified grey relational degree models for cross sequences based on the definition of difference degree between sequences.
Practical implications
The grey relational analysis model of cross sequences is a difficult problem in grey relational analysis. The new model proposed in this article can effectively avoid the calculation deviation of grey relational analysis model for cross sequences, and reasonably measure the correlation between cross sequences. The new model was used to analyse the food consumer price index in Shaanxi Province, clarifying the relationship between different types of food consumer price indices, some interesting results that are not completely consistent with general economic theory were obtained.
Originality/value
The new definition of cross sequences, the area element and various modified grey relational degree models for cross sequences were proposed.
Keywords
Acknowledgements
This work was supported by a long term project of national major talent plan of China (Grant No. YQR20024), a projects of the National Natural Science Foundation of China (Grant No. 72071111)”, a project of Intelligence Introduction base of the Ministry of Science and Technology (Grant No. G2021181014L), an original Exploration Project of the Central University Research and Innovation Fund (Grant No. ILA220721A23). At the same time, the authors would like to acknowledge the partial support of the Fundamental Research Funds for the Excellent Innovation Team of Nanjing University of Aeronautics and Astronautics (Grant No. [2022]2-22).
Citation
Liu, S., Lu, N., Shang, Z. and Rathnayaka, R.M.K.T. (2024), "A new grey relational analysis model of cross-sequences", Grey Systems: Theory and Application, Vol. 14 No. 2, pp. 299-317. https://doi.org/10.1108/GS-10-2023-0098
Publisher
:Emerald Publishing Limited
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