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On topological types of ordered median functions
Authors:
- Jerzy Grzybowski,
- J. Kalcsics,
- S. Nickel,
- D. Pallaschke,
- Ryszard Henryk Urbański
Abstract
An ordered median functions is a continuous piecewise-linear function. It is well known that in finite dimensional spaces every continuous piecewise-linear function admits a max-min representation in terms of its linear functions. An explicit representation of an ordered median function in max-min form is given by the authors and will appear in a forthcoming issue of this journal. Based on this representation, we give a topological classification of ordered median functions through their simplicial complex of ascent (resp. descent) cones.
- Record ID
- UAM68c3239bfd0c40e18430027010759a13
- Author
- Journal series
- Optimization, ISSN 0233-1934
- Issue year
- 2015
- Vol
- 64
- Pages
- 149-160
- ASJC Classification
- ; ;
- DOI
- DOI:10.1080/02331934.2014.883512 Opening in a new tab
- Language
- (en) English
- Score (nominal)
- 25
- Score source
- journalList
- Score
- Publication indicators
- = 2; = 2; : 2015 = 0.832; : 2015 (2 years) = 0.822 - 2015 (5 years) =0.904
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAM68c3239bfd0c40e18430027010759a13/
- URN
urn:amu-prod:UAM68c3239bfd0c40e18430027010759a13
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.