Interval systems over idempotent semiring

Abstract

This paper deals with solution of inequality $\textbf{A}\otimes \textbf{x}\preceq \textbf{b}$, where $\textbf{A}, \textbf{x}$ and $\textbf{b}$ are interval matrices with entries defined over idempotent semiring. It deals also with the computation of a pair of intervals, ($\textbf{x},\textbf{y}$) which satisfies the equation $\textbf{A} \otimes \textbf{x}=\textbf{B}\otimes \textbf{y}$. It will be shown that this equation may be solved by considering the interval version of the iterative scheme proposed by Cuninighame-Green and Butkovic in 2003.