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Proceedings Paper

Equilibrium points for a system of fuzzy difference equations
Author(s): Lili Jia; Qiyu Wang; Changyou Wang
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Paper Abstract

This paper is about the equilibrium point of fuzzy difference system. First, using fuzzy cut-set theory, the fuzzy difference system is transformed into a system of rational difference equations. Second, the existence and uniqueness of the solutions of rational difference system are achieved by iterative method, inequality property and mathematical induction method, and then the solution of fuzzy difference system is obtained. Finally, the two equilibrium points of the rational difference system are discussed by using the linearization theory, and then the sufficient conditions for the instability of the zero equilibrium point of the nonlinear fuzzy difference system are obtained.

Paper Details

Date Published: 17 May 2022
PDF: 7 pages
Proc. SPIE 12259, 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), 122591R (17 May 2022); doi: 10.1117/12.2639242
Show Author Affiliations
Lili Jia, Dianchi College of Yunnan University (China)
Qiyu Wang, Chengdu University of Information Technology (China)
Changyou Wang, Chengdu University of Information Technology (China)


Published in SPIE Proceedings Vol. 12259:
2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022)
Hari Mohan Srivastava; Chi-Hua Chen, Editor(s)

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