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

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.

De Loof, Karel; De Baets, Bernard; De Meyer, Hans; Brüggemann, Rainer (2007): A Lattice-Theoretic Approach to Computing Averaged Ranks Illustrated on Pollution Data in Baden-Württemberg. Environmental Informatics and Systems Research. Aachen: Shaker Verlag. Ranking Methods with the Emphasis on Partially Ordered Sets. Warschau. 2007

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Environmental Informatics 2007

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

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