Unified Representability of Total Preorders and Interval Orders through a Single Function: The Lattice Approach
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...
Paper Details
Title
Unified Representability of Total Preorders and Interval Orders through a Single Function: The Lattice Approach
Published Date
Jul 21, 2009
Journal
Volume
26
Issue
3
Pages
255 - 275
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