Simulations of Fuzzy Dynamical Systems using the LU Representation of Fuzzy Numbers

We suggest the use of the parametric LU-representation of the fuzzy numbers, introduced in Guerra and Stefanini (see Gue) and improved in Stefanini, Sorini and Guerra (see gue1), in the simulation of fuzzy dynamical systems or fuzzy iterated maps. We show the computational advantages of the LU-representation in extending some well known standard maps to the fuzzy context, allowing the simulation by the Zadeh's extension principle in the general case of fuzzy parameters