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Weak order polytopes

open access: yesDiscrete Mathematics, 2004
Binary relations and associated polytopes are considered: facet-defining inequalities, vertex adjacency, symmetries, basic lifting lemma, and relations to probabilistic choice and preference aggregation.
P C Fishburn
exaly   +3 more sources
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On the Weakness of an Ordered Set

SIAM Journal on Discrete Mathematics, 1998
Summary: We extend the notion of a ranking of elements in a weak order to a ranking of elements in general ordered sets. The weakness of an ordered set \(P = (X,\prec)\) (denoted wk\((P)\)) is the minimum integer \(k\) for which there exists an integer-valued function lev\(: X \to Z\) satisfying: (i) if \(x \prec y\), then \(\text{lev}(x) < \text{lev ...
John G. Gimbel, Ann N. Trenk
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Weak ordering---a new definition

Proceedings of the 17th annual international symposium on Computer Architecture - ISCA '90, 1990
A memory model for a shared memory, multiprocessor commonly and often implicitly assumed by programmers is that of sequential consistency . This model guarantees that all memory accesses will appear to execute atomically and in program order.
Sarita V. Adve, Mark D. Hill
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Partial Orders on Weak Orders Convex Subsets

Order, 2000
Let \(P\) and \(H\) be finite partially ordered sets (orders, for short) and \(\varphi \) be a mapping of \(P\) into the set of all nonempty convex connected subsets of \(H\).
Haiko Müller, Jean-Xavier Rampon
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GÖDEL REPRESENTABLE FUZZY WEAK ORDERS

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1999
This paper is devoted to the study of fuzzy weak orders, fuzzy quasi orders and fuzzy quasi-transitive relations in the context of group decision making. Transitivity is modelled by means of the minimum operator. In analogy to the numerical representation of classical weak orders, we consider a particular class of fuzzy weak orders that can be ...
Bernard De Baets   +2 more
openaire   +1 more source

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