Eventual periodicity of a system of max-type fuzzy difference equations of higher order

In this paper, we investigate the eventual periodicity of a system of max-type fuzzy difference equations of higher order where the coefficients and the initial values are positive fuzzy numbers. We provide a complete solution. Namely, we give characteristic conditions of the coefficients under whic...

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Bibliographic Details
Published in:Fuzzy sets and systems 2022-08, Vol.443, p.286-303
Main Authors: Sun, Taixiang, Su, Guangwang, Han, Caihong, Zeng, Fanping, Qin, Bin
Format: Article
Language:English
Subjects:
Eventual periodicity
Fuzzy number
System of max-type fuzzy difference equations
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Summary:In this paper, we investigate the eventual periodicity of a system of max-type fuzzy difference equations of higher order where the coefficients and the initial values are positive fuzzy numbers. We provide a complete solution. Namely, we give characteristic conditions of the coefficients under which every positive solution of this system is eventually periodic or not. Furthermore, some numerical simulations are given to illustrate our theoretical analysis.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2021.12.010