| Texto completo | |
| Autor(es): |
Barros, L. C.
;
Shahidi, M.
;
Esmi, E.
;
Allahviranloo, T.
Número total de Autores: 4
|
| Tipo de documento: | Artigo Científico |
| Fonte: | FUZZY SETS AND SYSTEMS; v. 528, p. 14-pg., 2026-04-01. |
| Resumo | |
In this paper, we extend the concepts of differentiability and integrability to some classes of multivariable fuzzy functions, called A-linearly correlated bivariate fuzzy processes. We introduce key concepts such as the A-total and A-directional derivatives for A-linearly correlated bivariate fuzzy processes, along with a tangent plane interpretation and the A-Jacobian matrix. Their properties and relationships are also examined. Moreover, we present the second order Fr & eacute;chet differentiability for A-linearly correlated bivariate fuzzy processes and define the A-Hessian matrix. Furthermore, we introduce the concept of the A-double integral and apply Fubini's Theorem to A-linearly correlated bivariate fuzzy processes. We provide several examples demonstrating its practical applications. (AU) | |
| Processo FAPESP: | 22/00196-1 - Equações diferenciais fuzzy com derivadas interativas em escalas temporais |
| Beneficiário: | Mina Shahidi |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |
| Processo FAPESP: | 20/09838-0 - BI0S - Brazilian Institute of Data Science |
| Beneficiário: | João Marcos Travassos Romano |
| Modalidade de apoio: | Auxílio à Pesquisa - Programa Centros de Pesquisa Aplicada |