Numerical Solution for Fuzzy Initial Value Problems via Interactive Arithmetic: Application to Chemical Reactions

Autor(es)

Wasques, Vinicius F. ^[1] ; Esmi, Estevao ^[2] ; Barros, Laecio C. ^[2] ; Sussner, Peter ^[2]

Afiliação do(s) autor(es)

^[1] Sao Paulo State Univ, Dept Math, Ave 24-A, BR-13506900 Rio Claro - Brazil

^[2] Univ Estadual Campinas, Dept Appl Math, Sergio Buarque de Holanda Rua Sergio Buarque de H, BR-13083859 Campinas - Brazil

• Tipo de documento: Artigo Científico
• Fonte: INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS; v. 13, n. 1, p. 1517-1529, 2020.
• Citações Web of Science: 0

Resumo

This paper studies numerical solutions for fuzzy initial value problems, where the initial conditions are given by interactive fuzzy numbers. The fuzzy solution is given by a numerical method that employs the arithmetic of interactive fuzzy numbers and yields a fuzzy number at each instant of time. The computational cost of the numerical method is also provided. The chemical decay reaction model is considered in order to illustrate that different types of interactivity produce different solutions for initial value problems. In addition, we present an application to the Lotka-Volterra model of oscillating chemical reactions. (C) 2020 The Authors. Published by Atlantis Press B.V. (AU)

• 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
• 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