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Scott-Suppes representability of semiorders: Internal conditions

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  • Abrísqueta, Francisco J.
  • Candeal, Juan C.
  • Induráin, Esteban
  • Zudaire, Margarita

Abstract

We analyze the structure of a semiorder, paying attention to its representability through a real-valued function and a positive constant threshold (the so-called Scott-Suppes representation). We furnish a new set of sufficient conditions for the Scott-Suppes representability of semiorders. Unlike previous characterizations already introduced in the literature, these new conditions can be expressed directly in terms of the given semiordered structure.

Suggested Citation

  • Abrísqueta, Francisco J. & Candeal, Juan C. & Induráin, Esteban & Zudaire, Margarita, 2009. "Scott-Suppes representability of semiorders: Internal conditions," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 245-261, March.
    • Handle: RePEc:eee:matsoc:v:57:y:2009:i:2:p:245-261
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    References listed on IDEAS

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    1. Candeal, Juan Carlos & Indurain, Esteban & Zudaire, Margarita, 2002. "Numerical representability of semiorders," Mathematical Social Sciences, Elsevier, vol. 43(1), pages 61-77, January.
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    Cited by:

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