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On the use of ordered sets in problems of comparison and consensus of classifications

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  • Jean-Pierre Barthélemy
  • Bruno Leclerc
  • Bernard Monjardet

Abstract

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  • Jean-Pierre Barthélemy & Bruno Leclerc & Bernard Monjardet, 1986. "On the use of ordered sets in problems of comparison and consensus of classifications," Journal of Classification, Springer;The Classification Society, vol. 3(2), pages 187-224, September.
    • Handle: RePEc:spr:jclass:v:3:y:1986:i:2:p:187-224
    DOI: 10.1007/BF01894188
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    References listed on IDEAS

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    1. J. C. Gower & G. J. S. Ross, 1969. "Minimum Spanning Trees and Single Linkage Cluster Analysis," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 18(1), pages 54-64, March.
    2. Stephen Johnson, 1967. "Hierarchical clustering schemes," Psychometrika, Springer;The Psychometric Society, vol. 32(3), pages 241-254, September.
    3. Jean-Pierre Barthélemy & F. McMorris, 1986. "The median procedure for n-trees," Journal of Classification, Springer;The Classification Society, vol. 3(2), pages 329-334, September.
    4. William Day, 1985. "Optimal algorithms for comparing trees with labeled leaves," Journal of Classification, Springer;The Classification Society, vol. 2(1), pages 7-28, December.
    5. M. Schader, 1980. "Hierarchical analysis: Classification with ordinal object dissimilarities," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 27(1), pages 127-132, December.
    6. C. Finden & A. Gordon, 1985. "Obtaining common pruned trees," Journal of Classification, Springer;The Classification Society, vol. 2(1), pages 255-276, December.
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    Citations

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    Cited by:

    1. Mishra, Debasis & Roy, Souvik, 2012. "Strategy-proof partitioning," Games and Economic Behavior, Elsevier, vol. 76(1), pages 285-300.
    2. Nicolas, Houy, 2007. ""I want to be a J!": Liberalism in group identification problems," Mathematical Social Sciences, Elsevier, vol. 54(1), pages 59-70, July.
    3. Dimitrov, Dinko & Puppe, Clemens, 2011. "Non-bossy social classification," Mathematical Social Sciences, Elsevier, vol. 62(3), pages 162-165.
    4. Dinko Dimitrov & Thierry Marchant & Debasis Mishra, 2012. "Separability and aggregation of equivalence relations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(1), pages 191-212, September.
    5. A. Penttinen & W. Krzanowski & J. Kettenring & F. Rohlf & William Day & B. Weir & John Kececioglu & N. Ohsumi & Peter Willett, 1993. "Book reviews," Journal of Classification, Springer;The Classification Society, vol. 10(1), pages 125-156, January.
    6. Olivier Hudry & Bernard Monjardet, 2010. "Consensus theories: An oriented survey," Documents de travail du Centre d'Economie de la Sorbonne 10057, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    7. A. Gordon & M. Vichi, 2001. "Fuzzy partition models for fitting a set of partitions," Psychometrika, Springer;The Psychometric Society, vol. 66(2), pages 229-247, June.
    8. McMorris, F.R. & Powers, R.C., 2013. "Majority decision on median semilattices," Mathematical Social Sciences, Elsevier, vol. 65(1), pages 48-51.
    9. Olivier Hudry, 2008. "NP-hardness results for the aggregation of linear orders into median orders," Annals of Operations Research, Springer, vol. 163(1), pages 63-88, October.
    10. Christopher Chambers & Alan Miller, 2011. "Rules for aggregating information," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(1), pages 75-82, January.
    11. Stephen Hirtle, 1987. "On the classification of recall strings using lattice-theoretic measures," Journal of Classification, Springer;The Classification Society, vol. 4(2), pages 227-242, September.
    12. Akinori Okada & Hans-Hermann Bock & F. Murtagh & F. Rohlf & Wei-Chien Chang & Shizuhiko Nishisato & Robert Sokal & Carolyn Anderson & Frank Critchley & Frank Critchley & Robert Golden, 1989. "Book reviews," Journal of Classification, Springer;The Classification Society, vol. 6(1), pages 121-161, December.
    13. Jean-Pierre Barthélemy, 1988. "Thresholded consensus for n-trees," Journal of Classification, Springer;The Classification Society, vol. 5(2), pages 229-236, September.
    14. Federico Fioravanti & Fernando Tohmé, 2020. "Asking Infinite Voters ‘Who is a J?’: Group Identification Problems in ℕ$\mathbb {N}$," Journal of Classification, Springer;The Classification Society, vol. 37(1), pages 58-65, April.
    15. Miller, Alan D., 2013. "Community standards," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2696-2705.
    16. Gildas Brossier, 1990. "Piecewise hierarchical clustering," Journal of Classification, Springer;The Classification Society, vol. 7(2), pages 197-216, September.
    17. Boris Mirkin & Trevor I. Fenner, 2019. "Distance and Consensus for Preference Relations Corresponding to Ordered Partitions," Journal of Classification, Springer;The Classification Society, vol. 36(2), pages 350-367, July.
    18. David Banks & Kathleen Carley, 1994. "Metric inference for social networks," Journal of Classification, Springer;The Classification Society, vol. 11(1), pages 121-149, March.
    19. J. Barthélemy, 1988. "Comments on “aggregation of equivalence relations” by P. C. Fishburn and A. Rubinstein," Journal of Classification, Springer;The Classification Society, vol. 5(1), pages 85-87, March.

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