ON HYPERPLANES AND SEMISPACES IN MAX-MIN CONVEX GEOMETRY

被引：0
|
作者：
Nitica, Viorel [1 ,2 ]
Sergeev, Sergei [3 ]
机构：
[1] W Chester Univ, Dept Math, Chester, PA 19383 USA
[2] Inst Math, Bucharest, Romania
[3] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England
来源：
KYBERNETIKA | 2010年 / 46卷 / 03期
关键词：
tropical convexity; fuzzy algebra; separation; SETS;
D O I：
暂无
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
The concept of separation by hyperplanes and halfspaces is fundamental for convex geometry and its tropical (max-plus) analogue. However, analogous separation results in max-min convex geometry are based on semispaces. This paper answers the question which semispaces are hyperplanes and when it is possible to "classically" separate by hyperplanes in max-min convex geometry.
引用
收藏
页码：548 / 557
页数：10
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