Paper Info
Title
Solutions of higher order linear fuzzy differential equations with interactive fuzzy values
Abstract
In this study, we consider higher order linear differential equations with additional conditions (initial and/or boundary) given by interactive fuzzy numbers. The concept of interactivity arises from the notion of a joint possibility distribution (J). The proposed method for solving fuzzy differential equations is based on an extension of the classical solution via sup-J extension, which is a generalization of Zadeh's extension principle. We prove that under certain conditions, the solution via Zadeh's extension principle is equal to the convex hull of the solutions produced by the sup-J extension. We also show that the solutions based on the Fréchet derivatives of fuzzy functions coincide with the solutions obtained via the sup-J extension. All of the results are illustrated based on a 3rd order fuzzy boundary value problem.
Year
DOI
Venue
2021
10.1016/j.fss.2020.07.019
Fuzzy Sets and Systems
Keywords
DocType
Volume
Interactive fuzzy numbers,Sup-J extension principle,Fréchet derivative,Fuzzy differential equations
Journal
419
ISSN
Citations 
PageRank 
0165-0114
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Estevão Laureano Esmi19012.01
Daniel Eduardo Sánchez202.70
Vinícius Francisco Wasques312.38
Laécio C. Barros411521.74