Journal ArticleDOI
Log-Concave Functions And Poset Probabilities
Jeff Kahn,Yang Yu +1 more
TLDR
These results are mainly based on the Brunn–Minkowski Theorem and a theorem of Keith Ball, which allow us to reduce to a 2-dimensional version of the problem.Abstract:
elements of some (finite) poset , write for the probability that precedes in a random (uniform) linear extension of For define where the infimum is over all choices of and distinct Addressing an issue raised by Fishburn [6], we give the first nontrivial lower bounds on the function This is part of a more general geometric result, the exact determination of the function where the infimum is over chosen uniformly from some compact convex subset of a Euclidean space These results are mainly based on the Brunn–Minkowski Theorem and a theorem of Keith Ball [1], which allow us to reduce to a 2-dimensional version of the problemread more
Citations
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BookDOI
Trends in multiple criteria decision analysis
TL;DR: This book discusses Dynamic MCDM, Habitual Domains and Competence Set Analysis for Effective Decision Making in Changeable Spaces, and the need for and possible methods of Objective Ranking.
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Advances in Computational Intelligence
TL;DR: This work proposes customized model ensembles on demand, inspired by Lazy Learning, which finds the most relevant models from a DB of models, using their meta-information, and creates an ensemble, which produces an output that is a weighted interpolation or extrapolation of the outputs of the models ensemble.
Journal ArticleDOI
On the cycle-transitivity of the mutual rank probability relation of a poset
TL;DR: The characterization of the transitivity of this mutual rank probability relation is contributed by situating it between strong stochastic transitivity and moderate product transitivity, using the cycle-transitivity framework.
Properties of mutual rank probabilities in partially ordered sets
TL;DR: Multicriteria Ordering and Ranking: Partial Orders, Ambiguities and Applied Issues Jan W. Owsinski and Rainer Bruggemann, Editors.
References
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Book
Convex bodies : the Brunn-Minkowski theory
TL;DR: Inequalities for mixed volumes 7. Selected applications Appendix as discussed by the authors ] is a survey of mixed volumes with bounding boxes and quermass integrals, as well as a discussion of their applications.