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Closure systems, implicational systems, overhanging relations and the case of hierarchical classification

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  • Domenach, Florent
  • Leclerc, Bruno

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  • Domenach, Florent & Leclerc, Bruno, 2004. "Closure systems, implicational systems, overhanging relations and the case of hierarchical classification," Mathematical Social Sciences, Elsevier, vol. 47(3), pages 349-366, May.
    • Handle: RePEc:eee:matsoc:v:47:y:2004:i:3:p:349-366
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    References listed on IDEAS

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    1. Edward Adams, 1986. "N-trees as nestings: Complexity, similarity, and consensus," Journal of Classification, Springer;The Classification Society, vol. 3(2), pages 299-317, September.
    2. Plott, Charles R, 1973. "Path Independence, Rationality, and Social Choice," Econometrica, Econometric Society, vol. 41(6), pages 1075-1091, November.
    3. W. Vach, 1994. "Preserving consensus hierarchies," Journal of Classification, Springer;The Classification Society, vol. 11(1), pages 59-77, March.
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    Cited by:

    1. V. Danilov & G. Koshevoy & E. Savaglio, 2015. "Hyper-relations, choice functions, and orderings of opportunity sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 51-69, June.
    2. Jean Diatta, 2009. "On critical sets of a finite Moore family," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 3(3), pages 291-304, December.
    3. Vladimir Danilov & Gleb Koshevoy & Ernesto Savaglio, 2012. "Orderings of Opportunity Sets," Working Papers 282, ECINEQ, Society for the Study of Economic Inequality.

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