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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Pedro, Francielle Santo [1] ; Esmi, Estevao [2] ; de Barros, Laecio Carvalho [2]
Total Authors: 3
Affiliation:
[1] Univ Fed Sao Paulo, Multidisciplinary Dept, BR-06110295 Osasco, SP - Brazil
[2] Univ Estadual Campinas, Dept Appl Math, BR-13081970 Campinas, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: INFORMATION SCIENCES; v. 512, p. 219-237, FEB 2020.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 16/26040-7 - Differential and integral calculus based on arithmetic of interactive fuzzy numbers
Grantee:Estevão Esmi Laureano
Support Opportunities: Regular Research Grants