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

页码：548 / 557

页数：10

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