Ordered median functions and symmetries

DOI10.1080/02331931003677772zbMath1229.90074OpenAlexW2083056649MaRDI QIDQ3112487

Stefan Nickel, Ryszard Urbański, Diethard Pallaschke, Jerzy Grzybowski

Publication date: 10 January 2012

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331931003677772

zbMATH Keywords

convex analysis\(DCH\)-representationordered median functions

Mathematics Subject Classification ID

Discrete location and assignment (90B80) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items (6)

Locating hyperplanes to fitting set of points: a general framework ⋮ Reduced pairs of compact convex sets and ordered median functions ⋮ Optimization problems with flexible objectives: a general modeling approach and applications ⋮ Ordered weighted average combinatorial optimization: formulations and their properties ⋮ Ordered weighted average optimization in multiobjective spanning tree problem ⋮ On topological types of ordered median functions

Cites Work

• Constructing a DC decomposition for ordered median problems
• On the expressibility of piecewise-linear continuous functions as the difference of two piecewise-linear convex functions
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