, Volume 28, Issue 1, pp 53–87 | Cite as

Biorders with Frontier

  • Denis Bouyssou
  • Thierry Marchant


This paper studies an extension of biorders that has a “frontier” between the relation and the absence of relation. This extension is motivated by a conjoint measurement problem consisting in the additive representation of ordered coverings defined on product sets of two components. We also investigate interval orders and semiorders with frontier.


Biorder Interval order Semiorder Frontier 

Mathematics Subject Classification (2010)



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© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.CNRSParis Cedex 16France
  2. 2.Université Paris DauphineParis Cedex 16France
  3. 3.Department of Data AnalysisUniversiteit GentGentBelgium

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