AE solutions to two-sided interval linear systems over max-plus algebra

Journal of Inequalities and Applications

Wei Li¹  Lihua Wang¹  Haohao Li² 

[1] Institute of Operational Research & Cybernetics, Hangzhou Dianzi University;School of Data Sciences, Zhejiang University of Finance and Economics;

关键词: Two-sided interval linear systems;    Max-plus algebra;    AE solutions;   

DOI  :  10.1186/s13660-018-1869-6

来源: DOAJ

【 摘 要 】

Abstract This paper introduces a concept of AE solutions to two-sided interval max-plus linear systems, a rather general concept which includes many known concepts of solutions to interval systems, in particular, weak, strong, tolerance and control solutions as its special cases. We state full characterizations of AE solutions for the two-sided interval max-plus systems, including both linear inequalities and linear equations. Moreover, we provide a specific example to illustrate an efficient method of finding the AE solution set.

【 授权许可】

Unknown