On the dynamics of a higher-order fuzzy difference equation with rational terms.

In this paper, we investigate existence, boundedness, asymptotic behavior and the oscillatory behavior of the positive solutions of the fuzzy difference equation z n + 1 = A + B z n - m 1 + C z n - m 2 , n ∈ N 0 , where (z n) is a sequence of positive fuzzy numbers, A, B, C and the initial values z - j , j = 0 , 1 , ... , s , are positive fuzzy numbers and m 1 , m 2 are nonnegative integers with s = max m 1 , m 2 . By studying this equation, we generalize and improve some results from the literature. [ABSTRACT FROM AUTHOR]