On hyperplanes and semispaces in max-min convex geometry

Viorel Nitica, Sergei Sergeev

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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 languageEnglish
Pages (from-to)548-557
Number of pages10
Issue number3
Publication statusPublished - 2010
EventInternational Conference on Mathematical Methods in Economy and Industry, Jun 15-18, 2009. Ceske Budejovice, Czech Republic -
Duration: 1 Jan 2010 → …


  • fuzzy algebra
  • separation
  • tropical convexity


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