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Ranking functions and axioms for linear orders

✍ Scribed by W.J. Walker

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
436 KB
Volume
67
Category
Article
ISSN
0012-365X

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✦ Synopsis

Suppose that n competitors participate in r races so that each competitor obtains a result consisting of r platings. The set of all possible results can be given a lattice structure. This structure is a partially ordered set with the notion of dimension defined in terms of linear orders which extend the partial order. This notion is investigated for linear orders which satisfy certain axioms. Previous work has shown how these axioms arise naturally when the ranking of the set of all results is carried out using a ranking function.

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