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Semiorders with separability properties |
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| Authors: | Juan Carlos Candeal Asier Estevan Javier Gutiérrez García Esteban Induráin |
| Institution: | 1. Departamento de Análisis Económico, Universidad de Zaragoza, Gran Vía 2-4, 50005 Zaragoza, Spain;2. Departamento de Matemáticas, Universidad Pública de Navarra, Campus Arrosadía, 31006 Pamplona, Spain;3. Departamento de Matemáticas, Universidad del País Vasco UPV/EHU, Apartado 644, 48080 Bilbao, Spain |
| Abstract: | We analyze different separability conditions that characterize the numerical representability of semiorders through a real-valued function and a strictly positive threshold. Any necessary and sufficient condition for the numerical representability of an interval order by means of two real-valued functions is proved to also characterize the Scott–Suppes representability of semiorders provided that a key additional condition of regularity with respect to sequences holds. |
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