FUZZY LOGISTIC DIFFERENCE EQUATION

In this study, we consider two different inequivalent formulations of the logistic difference equation $x_{n+1}= \beta x_n(1- x_n),\ \ n=0,1,..., $ where $x_n$ is a sequence of fuzzy numbers and $\beta$ is a positive fuzzy number. The major contribution of this paper is to study the existence, uniqu...

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Bibliographic Details
Published inIranian journal of fuzzy systems (Online) Vol. 15; no. 7; p. 55
Main Author Khastan, A
Format Journal Article
LanguageEnglish
Published Zahedan University of Sistan and Baluchestan, Iranian Journal of Fuzzy Systems 01.10.2018
Subjects
Control theory
Fuzzy sets
Numbers
Population growth
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Summary:In this study, we consider two different inequivalent formulations of the logistic difference equation $x_{n+1}= \beta x_n(1- x_n),\ \ n=0,1,..., $ where $x_n$ is a sequence of fuzzy numbers and $\beta$ is a positive fuzzy number. The major contribution of this paper is to study the existence, uniqueness and global behavior of the solutions for two corresponding equations, using the concept of Hukuhara difference for fuzzy numbers. Finally, some examples are given to illustrate our results.
ISSN:1735-0654
2676-4334
DOI:10.22111/ijfs.2018.4281