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EnglishIn this paper, we go further on the problem of the continuous numerical representability of interval orders defined on topological spaces. A new condition of compatibility between the given topology and the indifference associated to the main trace of an interval order is introduced. Provided that this condition is fulfilled, a semiorder has a continuous interval order representation through a pair of continuous real-valued functions. Other necessary and sufficient conditions for the continuous representability of interval orders are also discussed, and, in particular, a characterization is achieved for the particular case of interval orders defined on a topological space of finite support.
| Titolo: | Continuous representability of interval orders: The topological compatibility setting |
| Autori: | |
| Data di pubblicazione: | 2015 |
| Rivista: | |
| Abstract: | In this paper, we go further on the problem of the continuous numerical representability of interval orders defined on topological spaces. A new condition of compatibility between the given topology and the indifference associated to the main trace of an interval order is introduced. Provided that this condition is fulfilled, a semiorder has a continuous interval order representation through a pair of continuous real-valued functions. Other necessary and sufficient conditions for the continuous representability of interval orders are also discussed, and, in particular, a characterization is achieved for the particular case of interval orders defined on a topological space of finite support. |
| Handle: | http://hdl.handle.net/11368/2846707 |
| Digital Object Identifier (DOI): | 10.1142/S0218488515500142 |
| URL: | http://www.worldscientific.com/toc/ijufks/23/03 |
| Appare nelle tipologie: | 1.1 Articolo in Rivista |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| IJUFKS Bosi et al. (#560319.pdf | pdf post-print | Post-print | Digital Rights Management non definito | Open Access Visualizza/Apri |
| IJUFKS2015.pdf | pdf editoriale | Publisher-Version | Digital Rights Management non definito | Administrator Richiedi una copia |
http://hdl.handle.net/11368/2846707
