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Constrained intervals and interval spaces
(2013-02-19)
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 ...
A necessary and sufficient condition for the stability of interval difference equation via interval Lyapunov equation
(2022-01-01)
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. ...
Discrete-time interval optimal control problem
(2019-08-03)
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 ...
Generalized interval vector spaces and interval optimization
(Elsevier B.V., 2015-08-01)
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 ...
Fuzzy interval optimal control problem
(2019-01-01)
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 ...
Gauss-type integral inequalities for interval and fuzzy-interval-valued functions
(Springer, 2019-06-01)
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 ...
A new approach to linear interval differential equations as a first step toward solving fuzzy differential
(2018-09-15)
This study uses a concept of interval differentiability, which was recently introduced, to formulate interval initial value problems involving linear interval differential equations. Differently from the approaches that ...
Interval optimal control for uncertain problems
(2019-01-01)
This paper addresses optimal control problems with an interval-valued objective function. We consider the lower and upper order relation on the interval space and with this order relation we obtain optimality conditions. ...
Recognition and characterization of unit interval graphs with integer endpoints
(Elsevier Science, 2017-06)
We study those unit interval graphs having a model with intervals of integer endpoints and prescribed length. We present a structural result for this graph subclass which leads to a quadratic-time recognition algorithm, ...
Probe interval graphs and probe unit interval graphs on superclasses of cographs
(Discrete Mathematics Theoretical Computer Science, 2013-08)
A graph is probe (unit) interval if its vertices can be partitioned into two sets: a set of probe vertices and a set of nonprobe vertices, so that the set of nonprobe vertices is a stable set and it is possible to obtain ...