We suggest the use of the parametric LU-representation of the fuzzy numbers, introduced in Guerra and Stefanini [Guerra ML, Stefanini L. Approximate fuzzy arithmetic operations using monotonic interpolations. Fuzzy Sets Syst 2005;150:5-33] and improved in Stefanini et al. [Stefanini L, Sorini L, Guerra ML. Parametric representations of fuzzy numbers and applications. Working Paper Series EMS, 95, University of Urbino, 2004], 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. © 2005 Elsevier Ltd. All rights reserved.
CITATION STYLE
Stefanini, L., Sorini, L., & Guerra, M. L. (2006). Simulation of fuzzy dynamical systems using the LU-representation of fuzzy numbers. In Chaos, Solitons and Fractals (Vol. 29, pp. 638–652). Elsevier Ltd. https://doi.org/10.1016/j.chaos.2005.08.096
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