New solutions for first order linear fuzzy difference equations

In this paper, we study the different formulations of fuzzy difference equation xn=wxn−1+q, where w,q are positive fuzzy numbers. Using a generalization of division for fuzzy numbers, we investigate the existence, uniqueness and global behavior of the solution.

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2017-03, Vol.312, p.156-166
Main Author: Khastan, A.
Format: Article
Language:English
Subjects:
Boundedness
Computation
Difference equations
Fuzzy
Fuzzy difference equations
Fuzzy systems
Mathematical analysis
Mathematical models
Persistence
Positive equilibrium
Uniqueness
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Description
Summary:In this paper, we study the different formulations of fuzzy difference equation xn=wxn−1+q, where w,q are positive fuzzy numbers. Using a generalization of division for fuzzy numbers, we investigate the existence, uniqueness and global behavior of the solution.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2016.03.004