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 |
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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