Fuzzy interval optimal control problem

This paper proposes the discrete-time fuzzy interval optimal control problem via single-level constrained fuzzy arithmetic. Fuzzy interval functions are established and allow us to evaluate the dynamics of the fuzzy interval difference equation. Moreover, fuzzy interval dynamic programming is develo...

Full description

Bibliographic Details
Authors: Campos, José Renato [UNESP], Assunção, Edvaldo [UNESP], Silva, Geraldo Nunes [UNESP], Lodwick, Weldon Alexander, Teixeira, Marcelo Carvalho Minhoto [UNESP], Maqui-Huamán, Gino Gustavo [UNESP]
Format: article
Status:Published version
Publication Date:2019
Country:Brasil
Institution:Universidade Estadual Paulista (UNESP)
Repository:Repositório Institucional da UNESP
Language:English
OAI Identifier:oai:repositorio.unesp.br:11449/190325
Online Access:http://dx.doi.org/10.1016/j.fss.2019.05.003
http://hdl.handle.net/11449/190325
Access Level:Open access
Keyword:Fuzzy interval difference equation
Fuzzy interval dynamic programming
Fuzzy interval optimal control problem
Single-level constrained fuzzy arithmetic
Description
Summary:This paper proposes the discrete-time fuzzy interval optimal control problem via single-level constrained fuzzy arithmetic. Fuzzy interval functions are established and allow us to evaluate the dynamics of the fuzzy interval difference equation. Moreover, fuzzy interval dynamic programming is developed to obtain the optimal fuzzy interval solution helping us to make a realistic decision. A numerical example illustrates the theory and provides the practical solution for an user.