Simulation of fuzzy dynamical systems using the LU-representation of fuzzy numbers

Luciano Stefanini (), Laerte Sorini and Maria Guerra

Chaos, Solitons & Fractals, 2006, vol. 29, issue 3, 638-652

Abstract: 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.

Keywords: Fuzzy calculus; Fuzzy dynamical systems; Fuzzy iterated maps; Fuzzy numbers (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:29:y:2006:i:3:p:638-652

DOI: 10.1016/j.chaos.2005.08.096

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