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 ...

This paper provides a new numerical solution to partial differential equations, where the initial and boundary conditions are given by interactive fuzzy numbers. The interactivity considered here is the one obtained from ...

In this article we propose a method to calculate the sum and difference of two interactive fuzzy numbers. These arithmetic operations are obtained by the sup-J extension principle, which is a generalization of the Zadeh's ...

This work presents an application of interactive fuzzy fractional differential equation, with Caputo derivative, to an HIV model for seropositive individuals under antiretroviral treatment. The initial condition of the ...

Neste trabalho estudamos problemas de controle ótimo intervalar e intervalar fuzzy. Em particular, propomos problemas de controle ótimo via teoria de incerteza generalizada e teoria dos conjuntos fuzzy. Dentre os vários ...

This paper presents a numerical method to solve fuzzy partial differential equations, where the initial and boundary conditions are given by interactive fuzzy numbers. Interactivity is a relationship between fuzzy numbers ...

The consideration of uncertainties in the future system operation is a key aspect in current planning methodologies. In this context, load flow studies based on probabilistic theory, fuzzy numbers, and Monte Carlo ...

This paper studies numerical solutions for fuzzy initial value problems, where the initial conditions are given by interactive fuzzy numbers. The fuzzy solution is given by a numerical method that employs the arithmetic ...