Calculus for linearly correlated fuzzy function using Frechet derivative and Riemann integral

Autor(es)

Pedro, Francielle Santo ^[1] ; Esmi, Estevao ^[2] ; de Barros, Laecio Carvalho ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Sao Paulo, Multidisciplinary Dept, BR-06110295 Osasco, SP - Brazil

^[2] Univ Estadual Campinas, Dept Appl Math, BR-13081970 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: INFORMATION SCIENCES; v. 512, p. 219-237, FEB 2020.
• Citações Web of Science: 0

Resumo

In this manuscript we study integration and derivative theories for interactive fuzzy processes. These theories are based on the Frechet derivative and the Riemann integral. In addition, we present a connection between these two theories, i.e., some problems may be formulated in both ways. We establish the fundamental theorem of calculus, theorem of existence and the local uniqueness of the solution of fuzzy differential equations and some techniques to solve fuzzy initial value problems. To illustrate the usefulness of the developed theory, we investigate the radioactive decay model. (C) 2019 Published by Elsevier Inc. (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