On Maximal Inner Estimation of the Solution Sets of Linear Systems with Interval Parameters

摘要

The purpose of this paper is to inquire the connection between maximal inner interval estimates of the solution sets to interval linear system and solutions of the dualization equation in Kaucher interval arithmetic. The results of our work are as follows: 1) a criterion of inner interval Estimate of the solution set, 2) a criterion for a solution of dualization equation to be a maximal inner Interval estimate of the solution set, 3) a criterion for multiplication by an interval matrix to be upper Strictly isotone.