Fuzzy differential equations with interactive derivatives on time scales
A study on operators defined in infinite dimensional spaces and applications
Study of uncertainties in physical phenomena via fuzzy sets theor
| Full text | |
| 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 |