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A Lattice-Theoretic Approach to Computing Averaged Ranks Illustrated on Pollution Data in Baden-Württemberg

Authors
De Loof, Karel (Department of Applied Mathematics and Computer Science, Ghent University)
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De Baets, Bernard (Department of Applied Mathematics, Biometrics and Process Control, Ghent University)
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De Meyer, Hans (Department of Applied Mathematics and Computer Science, Ghent University)
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Brüggemann, Rainer  
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Chapter Ranking Methods with the Emphasis on Partially Ordered Sets
Volume Environmental Informatics and Systems Research (Part 2)
Conference Environmental Informatics and Systems Research
Warschau, 2007
Year 2007
Abstract of the Article
In the paper an algorithm for calculating the ranking distribution and the averaged ranking probability (averaged rank) of each element of a poset that avoids the enumeration of all linear extensions and relies on the lattice of ideals representation of the poset is presented.
Pages 177 - 179
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