Document Type : Research Paper


1 Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang, Guizhou 550004, P. R. China

2 Department of Mathematics, Hunan City University, Yiyang, Hunan 413000, P. R. China

3 Basic Science Department, Hunan Institute of Technology, Hengyang, Hunan 421002, P. R. China


In this paper, we study the existence, asymptotic behavior of the positive solutions of a fuzzy nonlinear difference equation
$$ x_{n+1}=frac{Ax_n+x_{n-1}}{B+x_{n-1}}, n=0,1,cdots,$$
 where $(x_n)$ is a sequence of positive fuzzy number, $A, B$ are positive fuzzy numbers and the initial conditions $x_{-1}, x_0$ are positive fuzzy numbers.


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