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Behavior of the positive solutions of fuzzy max-difference equations

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Abstract

We extend some results obtained in 1998 and 1999 by studying the periodicity of the solutions of the fuzzy difference equations xn+1 = max{A/x n , A/xn-1,...,A/xn-k}, xn+1 = max{A0/x n , A1/xn-1}, where k is a positive integer, A, A i , i = 0,1, are positive fuzzy numbers, and the initial values x i , i = -k, -k + 1,...,0 (resp., i = -1,0) of the first (resp., second) equation are positive fuzzy numbers.

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Correspondence to G Stefanidou.

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