We introduce a new approach that deals, jointly and in a unified manner, with the topics of numerical (continuous) representability of total preorders and interval orders. This setting is based on the consideration of increasing scales and the systematic use of a particular kind of codomain, that has a key lattice theoretical structure of a completely distributive lattice and allows us to use a single function (taking values in that codomain) in order to represent both kinds of binary relations.
Unified representability of total preorders and interval orders through a single function: The lattice approach / Bosi, Gianni; GUTIERREZ GARCIA, J; Indurain, E.. - In: ORDER. - ISSN 0167-8094. - STAMPA. - 26:(2009), pp. 255-275. [10.1007/s11083-009-9124-x]
Unified representability of total preorders and interval orders through a single function: The lattice approach
BOSI, GIANNI;
2009-01-01
Abstract
We introduce a new approach that deals, jointly and in a unified manner, with the topics of numerical (continuous) representability of total preorders and interval orders. This setting is based on the consideration of increasing scales and the systematic use of a particular kind of codomain, that has a key lattice theoretical structure of a completely distributive lattice and allows us to use a single function (taking values in that codomain) in order to represent both kinds of binary relations.Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
