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Fuzzy Initial Value Problems for Fuzzy Hypocycloid Curves

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Autor(es):
Eduardo Sanchez, Daniel ; Wasques, Vinicius Francisco ; Esmi, Estevao ; de Barros, Laecio Carvalho ; Sussner, Peter
Número total de Autores: 5
Tipo de documento: Artigo Científico
Fonte: 2019 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, FUZZ-IEEE; v. N/A, p. 5-pg., 2019-01-01.
Resumo

In this manuscript we focus on a system of differential equations that describes the trajectory of a particle that moves in the plane according to a hypocycloid curve. More precisely we consider a coupled system composed of two ordinary second order differential equations with initial conditions given by interactive fuzzy numbers. The concept of interactivity is given by means of joint possibility distribution (J). We provide a fuzzy solution for this system via sup- J extension, which can be seen as a generalization of the Zadeh's extension principle. We present an example in order to compare the proposed solution with the solution via Zadeh's extension principle. (AU)

Processo FAPESP: 18/10946-2 - The 13th International FLINS Conference on Data Science and Knowledge Engineering for Sensing Decision Support
Beneficiário:Laécio Carvalho de Barros
Modalidade de apoio: Auxílio à Pesquisa - Reunião - Exterior
Processo FAPESP: 18/13657-1 - Algumas abordagens de computação em reticulados a inteligência computacional, processamento e análise de imagens
Beneficiário:Peter Sussner
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 16/26040-7 - Cálculo diferencial e integral baseado aritmética de números fuzzy interativos
Beneficiário:Estevão Esmi Laureano
Modalidade de apoio: Auxílio à Pesquisa - Regular