Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 548-557 |
| Number of pages | 10 |
| Journal | Kybernetika |
| Volume | 46 |
| Issue number | 3 |
| Publication status | Published - 2010 |
| Event | International Conference on Mathematical Methods in Economy and Industry, Jun 15-18, 2009. Ceske Budejovice, Czech Republic - Duration: 1 Jan 2010 → … |
Keywords
- fuzzy algebra
- separation
- tropical convexity
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