Constrained intervals, intervals as a mapping from [0, 1] to polynomials of degree one (linear functions) with non-negative slopes, and arithmetic on constrained intervals generate a space that turns out to be a cancellative ...

Constrained intervals, intervals as a mapping from [0, 1] to polynomials of degree one (linear functions) with non-negative slopes, and arithmetic on constrained intervals generate a space that turns out to be a cancellative ...

Interval difference equations can be used for modeling biological, economic, or physical systems that, due to lack of information or measurement errors in the input data from real-world applications, contain uncertainties. ...

This paper proposes a new approach for the discrete-time interval optimal control problem. The optimal interval solution of discrete-time interval optimal control problem is obtained using the single-level constrained ...

This paper presents a method for endowing the generalized interval space with some different structures, such as vector spaces, order relations and an algebraic calculus. With these concepts we formulate interval optimization ...

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 article is devoted to obtaining necessary optimality conditions for optimization problems with interval-valued objective and interval inequality constraints. These objective and constraint functions are obtained from ...

This study presents new Gauss's inequalities for interval and fuzzy-interval-valued functions using the Aumann's and Kaleva's improper integrals. The inequality for interval-valued functions is based on the Kulisch-Miranker ...

In this work we use Interval Mathematics to establish interval counterparts for the main tools used in digital signal processing. More specifically, the approach developed here is oriented to signals, systems, sampling, ...