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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.)

Frechet derivative for linearly correlated fuzzy function

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Author(s):
Esmi, Estevao [1] ; Pedro, Francielle Santo [1] ; de Barros, Laecio Carvalho [1] ; Lodwick, Weldon [2]
Total Authors: 4
Affiliation:
[1] Univ Estadual Campinas, Dept Appl Math, BR-13081970 Campinas, SP - Brazil
[2] Univ Colorado, Dept Math, POB 173364, Campus Box 170, Denver, CO 80217 - USA
Total Affiliations: 2
Document type: Journal article
Source: INFORMATION SCIENCES; v. 435, p. 150-160, APR 2018.
Web of Science Citations: 4
Abstract

This article introduces the concept of linearly correlated Frechet derivative for fuzzy processes. For linearly autocorrelated fuzzy functions, a practical method to calculate the Frechet derivative is given. Moreover, we have shown that the Frechet derivative is given by the derivative of appropriate standard functions and this concept is illustrated by several examples. Finally, we show that under certain conditions, the Frechet derivative coincides with that given by interactive fuzzy arithmetic. (C) 2018 Elsevier Inc. All rights reserved. (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