Unified representability of total preorders and interval orders through a single function: the lattice approach
Order, 2009•Springer
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.
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.
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.
Springer
以上显示的是最相近的搜索结果。 查看全部搜索结果