Abstract:
In this paper, we investigate the existence, the boundedness, the asymptotic behavior, and the oscillatory behavior of the positive solutions of the fuzzy difference equation $$ z_{n+1}=A+\frac{B}{z_{n-m}}\,, $$ where $n\in\mathbb{N}_{0}=\mathbb{N}\cup\{0\}$, $(z_{n})$ is a sequence of positive fuzzy numbers, $A$, $B$, and the initial conditions $z_{-j}$, $j=1, 2,\dots,m$, are positive fuzzy numbers, and $m$ is a positive integer.