区间线性不等式系统的代数解

Algebraic Solutions to Interval Linear Inequality Systems

区间优化中,各种解集及其特征是区间分析与区间优化领域的一个重要的研究课题.通过对实矩阵与区间向量乘积的中点—半径的刻画,在已有结论的基础上,给出了求解区间线性不等式组代数解的方法.最后,通过识别函数给出区间线性不等式组代数解的一个充要条件.

Interval optimization＇s solutions set and its characterizations are important research topic in the field of interval analysis and interval optimization. In this paper, by means of the description of the midpoint-radius characterization of real matrix and interval vector product, which methods for solving algebraic solution of interval linear inequalities is given on the basis of existing results. Finally, it gives a necessary and sufficient condition for the algebraic solution of interval linear inequalities by recognizing functional.