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EnglishIn the present paper a new concept of representability is introduced, which can be applied to not total and also to intransitive relations (semiorders in particular). This idea tries to represent the orderings in the simplest manner, avoiding any unnecessary information. For this purpose, the new concept of representability is developed by means of partial functions, so that other common definitions of representability (i.e. (Richter-Peleg) multi-utility, Scott-Suppes representability, … ) are now particular cases in which the partial functions are actually functions. The paper also presents a collection of examples and propositions showing the advantages of this kind of representations, particularly in the case of partial orders and semiorders, as well as some results showing the connections between distinct kinds of representations.
| Titolo: | Partial Representations of Orderings |
| Autori: | |
| Data di pubblicazione: | 2018 |
| Stato di pubblicazione: | Pubblicato |
| Rivista: | |
| Abstract: | In the present paper a new concept of representability is introduced, which can be applied to not total and also to intransitive relations (semiorders in particular). This idea tries to represent the orderings in the simplest manner, avoiding any unnecessary information. For this purpose, the new concept of representability is developed by means of partial functions, so that other common definitions of representability (i.e. (Richter-Peleg) multi-utility, Scott-Suppes representability, … ) are now particular cases in which the partial functions are actually functions. The paper also presents a collection of examples and propositions showing the advantages of this kind of representations, particularly in the case of partial orders and semiorders, as well as some results showing the connections between distinct kinds of representations. |
| Handle: | http://hdl.handle.net/11368/2926215 |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1142/S0218488518500228 |
| URL: | https://www.worldscientific.com/doi/abs/10.1142/S0218488518500228 |
| Appare nelle tipologie: | 1.1 Articolo in Rivista |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| BosiEstevanZuanonIJUFKAccepted.pdf | Post print | Bozza finale post-referaggio (post-print) | Copyright Editore | Open Access Visualizza/Apri |
| Bosi_Partial Representations of Orderings.pdf | Documento in Versione Editoriale | Copyright Editore | Administrator Richiedi una copia |
http://hdl.handle.net/11368/2926215
