Unified representability of total preorders and interval orders through a single function: the lattice approach (Q841166)
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scientific article; zbMATH DE number 5603897
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unified representability of total preorders and interval orders through a single function: the lattice approach |
scientific article; zbMATH DE number 5603897 |
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Unified representability of total preorders and interval orders through a single function: the lattice approach (English)
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14 September 2009
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The authors introduce a new approach that deals in a unified manner with the numerical (continuous) representability of total preorders and interval orders. Their method relies on increasing scales and the use of a particular kind of codomain that has the structure of a completely distributive lattice and allows them to use a single function (taking values in that codomain) in order to represent both kinds of binary relations. They state that it remains an open problem to develop a similar theory for semiorders.
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total preorder
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interval order
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completely distributive lattice
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scale
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continuous representability
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0.88911974
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0.8820654
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0.87766755
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0.8731996
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0.8662456
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0.86617506
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0.8651414
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0.86228734
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