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Type: Artigo
Title: On differential equations with interactive fuzzy parameter via t-norms
Author: Cabral, V. M.
Barros, L. C.
Abstract: In this paper we study fuzzy differential equations with uncertain parameters modeled by interactive fuzzy numbers. The interactivity is formalized with the help of upper semicontinuous t-norms. To obtain solutions to fuzzy differential equations we use two different approaches. The first uses a family of differential inclusions while the second is the fuzzification of the deterministic problem using the Zadeh extension principle. We show that the solutions obtained by the two methods are equal. Interactivity among the parameters and variable of the problem are studies with respect two methods. We show that a hierarchy in uncertainties of the solutions arises when we chose one of the basic t-norm (the minimum, the t-norm of the product, the t-norm of Lukasiewicz and t-norm of the drastic product) to model the interaction between parameters. Finally, to illustrate the concepts introduced in the paper, we study the Malthusian model with interactive parameters
Subject: Equações diferenciais fuzzy
Country: Países Baixos
Editor: Elsevier
Rights: Fechado
Identifier DOI: 10.1016/j.fss.2018.07.010
Date Issue: 2019
Appears in Collections:IMECC - Artigos e Outros Documentos

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