The structure of max-min hyperplanes

DOI10.1016/j.laa.2009.08.022zbMath1180.52005OpenAlexW1986517300MaRDI QIDQ1044620

Viorel Niţiča

Publication date: 18 December 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.08.022

zbMATH Keywords

fuzzy algebramax-min convex setmax-min hyperplanemax-min segmentseparation by hyperplanes

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30) Fuzzy algebraic structures (08A72)

Related Items (5)

On hyperplanes and semispaces in max-min convex geometry ⋮ On the dimension of max-min convex sets ⋮ Linear optimization with bipolar max-min constraints ⋮ Full ordering in the Shorrocks mobility sense of the semiring of monotone doubly stochastic matrices ⋮ An interval version of separation by semispaces in max-min convexity

Cites Work

• The structure of max-plus hyperplanes
• Duality and separation theorems in idempotent semimodules.
• Tropical convexity
• Contributions to max-min convex geometry. II: Semispaces and convex sets
• Dioïds and semirings: Links to fuzzy sets and other applications
• Contributions to max-min convex geometry. I: Segments
• On hyperplanes and semispaces in max-min convex geometry
• Max-plus convex sets and max-plus semispaces. II
• Max-Plus Convex Geometry
• Max-plus convex sets and max-plus semispaces. I
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