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Abstract
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.
Keywords
NUMERICAL REPRESENTATION, INTERVAL ORDERS, INTRANSITIVE INDIFFERENCE, SEMIORDERS, PREFERENCES, CATEGORIES, UTILITY, MODELS, TIME, Biorder, Interval order, Semiorder, Frontier

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Please use this url to cite or link to this publication:

MLA
Bouyssou, Denis, and Thierry Marchant. “Biorders with Frontier.” ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, vol. 28, no. 1, 2011, pp. 53–87, doi:10.1007/s11083-010-9153-5.
APA
Bouyssou, D., & Marchant, T. (2011). Biorders with frontier. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 28(1), 53–87. https://doi.org/10.1007/s11083-010-9153-5
Chicago author-date
Bouyssou, Denis, and Thierry Marchant. 2011. “Biorders with Frontier.” ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS 28 (1): 53–87. https://doi.org/10.1007/s11083-010-9153-5.
Chicago author-date (all authors)
Bouyssou, Denis, and Thierry Marchant. 2011. “Biorders with Frontier.” ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS 28 (1): 53–87. doi:10.1007/s11083-010-9153-5.
Vancouver
1.
Bouyssou D, Marchant T. Biorders with frontier. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS. 2011;28(1):53–87.
IEEE
[1]
D. Bouyssou and T. Marchant, “Biorders with frontier,” ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, vol. 28, no. 1, pp. 53–87, 2011.
@article{1231361,
  abstract     = {{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.}},
  author       = {{Bouyssou, Denis and Marchant, Thierry}},
  issn         = {{0938-2259}},
  journal      = {{ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS}},
  keywords     = {{NUMERICAL REPRESENTATION,INTERVAL ORDERS,INTRANSITIVE INDIFFERENCE,SEMIORDERS,PREFERENCES,CATEGORIES,UTILITY,MODELS,TIME,Biorder,Interval order,Semiorder,Frontier}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{53--87}},
  title        = {{Biorders with frontier}},
  url          = {{http://doi.org/10.1007/s11083-010-9153-5}},
  volume       = {{28}},
  year         = {{2011}},
}

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