Paper Info
Title
Solutions of Systems of Linear Fuzzy Differential Equations for a Special Class of Fuzzy Processes
Abstract
This paper introduces the concept of first-order systems of linear fuzzy differential equations for S-linearly correlated fuzzy processes. These fuzzy processes have range embedded in Banach spaces of fuzzy numbers, and the fuzzy initial value problems studied are given in terms of the Frechet derivative of these fuzzy functions. An equivalence between the first-order systems of linear fuzzy differential equations and a family of classical first-order systems of linear differential equations is established. Also, conditions on the existence and uniqueness of the solutions are presented. Lastly, an application on the multiple mass-spring system is provided.
Year
DOI
Venue
2021
10.1007/978-3-030-82099-2_20
EXPLAINABLE AI AND OTHER APPLICATIONS OF FUZZY TECHNIQUES, NAFIPS 2021
Keywords
DocType
Volume
Banach spaces, Strongly linearly independence, S-linearly correlated fuzzy processes, Systems of fuzzy differential equations, Mass-spring multiple system
Conference
258
ISSN
Citations 
PageRank 
2367-3370
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Beatriz Laiate102.03
Estevão Laureano Esmi29012.01
Francielle Santo Pedro3144.64
Laécio C. Barros411521.74