Max-plus代数下区间方程组的一般解  

General Solutions of Interval Equations under Max-plus Algebra

作　　者：王利华 李炜[1] 贾胜男 郭瑞丽 WANG Lihua;LI Wei;JIA Shengnan;GUO Ruili(Institute of Operations Research and Control,Hangzhou Dianzi University,HangzhouZhejiang 310018,China)

机构地区：[1]杭州电子科技大学运筹与控制研究所,浙江杭州310018

出　　处：《杭州电子科技大学学报（自然科学版）》2018年第4期94-97,共4页Journal of Hangzhou Dianzi University：Natural Sciences

基　　金：国家自然科学基金资助项目(61673145;U1509217)

摘　　要：通过区间一般线性方程组的AE解的研究,在max-plus代数的结构下,定义了区间方程组基于逻辑运算符的一般解,继而建立了max-plus代数下一般解的充要条件。In recent years,with the introduction of max-plus algebra architecture to the field of interval mathematics,the necessary and sufficient conditions and equivalent propositions of various solutions in maximal algebra have been paid close attention to by many scholars in the world.By defining the general solution of interval operator based on logical operators in the structure of maxplus algebra,the necessary and sufficient conditions for the general solutions of max-plus algebra are established.

关 键 词：极大代数一般解 区间方程组 max-plus代数结构 

分 类 号：O221[理学—运筹学与控制论]