摘要
极值代数上区间系统的特征研究是一个具有重要意义的研究方向.本文讨论极大代数上区间不等式系统的各种类型的可解性:弱可解性、强可解性、容许与强容许可解性、控制与强控制可解性,给出对应的可解性特征.更进一步,我们分析以上各种解的存在性与相应的可解性,证明二者在某些情形下的等价性.此外,我们还在各种可解性下求其对应的最大解.
Abstract
The characteristics of interval systems under the framework of extremum algebra is a meaningful research direction.In this paper we study the characterizations of various kinds of solvabilities of interval linear inequalities in the max-min algebra,including the weak solvability,strong solvability,tolerance solvability,strongly tolerance solvability,control solvability and strongly control solvability.Furthermore,we analyze the existence of solutions and the solvabilities,and show these two concepts are equivalent in certain situations.In addition,we find the maximum solutions corresponding to different kinds of solvabilities.
基金项目
Natural Science Foundation of Zhejiang Province(LY21A010021)
NETL
NSTL
万方数据