BEHAVIOR OF THE POSITIVE SOLUTIONS OF FUZZY MAX-DIFFERENCE EQUATIONS G. STEFANIDOU AND G.

BEHAVIOR OF THE POSITIVE SOLUTIONS OF FUZZY MAX-DIFFERENCE EQUATIONS G. STEFANIDOU AND G. PAPASCHINOPOULOS Received 15 September 2004 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/xn ,A/xn−1 ,...,A/xn−k }, xn+1 = max{A0 /xn ,A1 /xn−1 }, where k is a positive integer, A, Ai , i = 0,1, are positive fuzzy numbers, and the initial values xi , i = −k, −k + 1,...,0 (resp., i = −1,0) of the first (resp., second) equation are positive fuzzy numbers. 1. Introduction Difference equations are often used in...