La comparaison des hiérarchies : indices et métriques
Mathématiques et sciences humaines, Tome 92 (1985), pp. 5-40. 
@article{MSH_1985__92__5_0,
     author = {Leclerc, B.},
     title = {La comparaison des hi\'erarchies : indices et m\'etriques},
     journal = {Math\'ematiques et sciences humaines},
     pages = {5--40},
     publisher = {Ecole Pratique des hautes \'etudes, Centre de math\'ematique sociale et de statistique},
     volume = {92},
     year = {1985},
     mrnumber = {866224},
     zbl = {0592.62050},
     language = {fr},
     url = {http://archive.numdam.org/item/MSH_1985__92__5_0/}
}
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Leclerc, B. La comparaison des hiérarchies : indices et métriques. Mathématiques et sciences humaines, Tome 92 (1985), pp. 5-40. http://archive.numdam.org/item/MSH_1985__92__5_0/

Adams E.N. III, "Consensus techniques and the comparison of taxonomic trees", Syst. Zool., 21 (1972) , 390-397.

Bandelt H.J., Barthelemy J.P., "Medians in median graphs", Discrete Applied Math., 8 (1984), 131-142. | MR | Zbl

Barbut M., Monjardet B., Ordre et classification. Algèbre et Combinatoire,, tome 2, Hachette, Paris, 1970. | Zbl

Barthelemy J.P., "Remarques sur les propriétés métriques des ensembles ordonnés'' Math. Sci. hum., 61 (1978), 39-60. | Numdam | MR | Zbl

Barthelemy J.P., Propriétés métriques des ensembles ordonnés. Comparaison et agrégation des relations binaires, thèse, Université de Franche-Comté, Besançon, 1979a.

Barthelemy J.P., "Caractérisations axiomatiques de la distance de la différence symétrique entre les relations binaires", Math. Sci. hum., 67 (1979b), 85-113. | Numdam | Zbl

Barthelemy J.P., Flament C., Monjardet B., "Ordered sets and social sciences", in Proc. Symposium on ordered sets (Banff 1981), Reidel, Dordrecht, 1982. | MR | Zbl

Barthelemy J.P., Leclerc B., "Median consensus for tree representations of dichotomous variables ", en préparation, (1986).

Barthelemy J.P., Leclerc B., Monjardet B., "Quelques aspects du consensus en classification, in : DIDAY E., et al., eds, Data analysis and informatics 3, Amsterdam, North-Holland, 1984a. | Zbl

Barthelemy J.P., Leclerc B., Monjardet B., "Ensembles ordonnés et taxonomie mathématique", in : POUZET M., RICHARD D., eds, Orders : description and roles, Amsterdam, North-Holland, 1984b, 523-548. | MR | Zbl

Barthelemy J.P., Leclerc B., Monjardet B., On the use of ordered set in problems of comparison and consensus of classifications, rapport CAMS, P.018, 1986.

Barthelemy J.P., Monjardet B., "The median procedure in cluster analysis and social choice theory", Mathematical Social Sciences, 1 (1981), 235-267. | MR | Zbl

Birkhoff G., Lattice theory, 3rd edition, American Mathematical Society, Providence, N.J., 1967. | MR | Zbl

Berge C., Graphes et hypergraphes, Dunod, Paris, 1970. Graphs and hypergraphs, North-Holland, Amsterdam, 1973. | MR | Zbl

Bobisud H.M., Bobisud L.E., "A metric for classifications", Taxon, 21 (1972), 607-613.

Bogart K.P., "Preference structure I : distance between transitive preference relations ", J. Math. Sociol., 3 (1973) , 49-67. | MR | Zbl

Boorman S.A., Olivier D.C., "Metrics on spaces of finite trees", J. Math. Psychol., 10 (1973), 26-59. | MR | Zbl

Bordes G., "Métriques bornées définies par des valuations sur un demi-treillis", Math. Sci. hum., 56 (1976), 89-95. | Numdam | MR | Zbl

Burge W.H., "Sorting, trees and measures of order", Information and control, 1 (1958) , 181-197. | MR | Zbl

Chandon J.L., Pinson S., Analyse typologique, Masson, Paris, 1980. | MR | Zbl

Colless, "Congruence between morphometric and allozyme data for Menidia species : a reappraisal", Syst. Zool., 29 (1980), 288-299.

Comyn G., Van Dorpe J.C., "Valuation et semi-modularité dans les demi-treillis", Math. Sci. hum., 56 (1976), 63-75. | Numdam | MR | Zbl

Day W.H.E., Mcmorris F.R., A formalization of consensus index methods, Technical Report 8405, Memorial University of Newfoundland, St John's, Nfld, 1984. | MR

Duffus O., Rival I., "Path length in the covering graph of a lattice", Discrete Math., 19 (1977), 139-158. | MR | Zbl

Farris J.S., "A successive approximations approach to character weighting", Syst. Zool., 18 (1969), 374-385.

Finden C.R., Gordon A.D., "Obtaining common pruned trees", J. of Classification, 2 (1985), 255-276.

Green C.D., "A path entropy function for rooted trees", J.A.C.M., 20 (1973), 378-384. | MR | Zbl

Grimonprez G., Van Dorpe J.C., "Distance définie par une application monotone sur un treillis", Math. Sci. hum., 56 (1976), 47-62. | Numdam | MR | Zbl

Guiasu S., Information theory with applications, Mc Graw-Hill, New York, 1977. Harary F., Graph theory, Addison-Wesley, Reading, Mass., 1969. | MR | Zbl

Harding E.S., "The probabilities of rooted tree-shapes generated by random bifurcations", Adv. Appl. Prob., 3 (1971), 44-77. | MR | Zbl

Hartigan J.A., "Representation of similarity matrices by trees", J. Amer. Statist. Ass., 62 (1967), 1140-1158. | MR

Hartigan J.A., Clustering algorithms, Wiley, New York, 1975. | MR | Zbl

Haskins L., Gudder S., "Height on posets and graphs", Discrete Math., 2 (1972), 357-382. | MR | Zbl

Hu T.C., "Some results and problems in binary trees", in R. RUSTIN, ed., Combinatorial algorithms, Algorithmic Press, New York, 1973, 11-15. | MR

Hubert L.J., Baker F.B., "The comparison and fitting of given classification schemes", J. Math. Psychol., 16 (1977) , 233-253. | MR | Zbl

Jambu M., "Quelques critères dé comparaison des hiérarchies indicées produites en classification automatique", Consommation, (1975) n° 1, 55-85.

Janvier Ph., Tassy P., Thomas H., "Le cladisme", La Recherche, 117 (1980), 1396-1406.

Knuth D.E., The art of computer programming. Vol.3: Sorting and searching, Addison-Wesley, Reading, Mass., 1973. | MR | Zbl

Leclerc B., "Description combinatoire des ultramétriques", Math. Sci. hum., 73 (1981), 5-37. | Numdam | MR | Zbl

Leclerc B., Description, évaluation et comparaison des hiérarchies de parties, rapport CAMS-EHESS, 1982.

Mcmorris F.R., Neumann D.A., "Consensus functions defined on trees", Math. Social Sciences,4 (1983), 131-136. | MR | Zbl

Margush T., "Distances between trees", Discrete Applied Math., 4 (1982), 281-290. | MR | Zbl

Margush T., Mcmorris F.R., "Consensus n-trees", Bull. of Math. Biology, 43 (1981), 239-244. | MR | Zbl

Mickevich M.F., "Taxonomic congruence", Syst. Zool., 27 (1978), 143-158.

Monjardet B., "Metrics on a partially ordered set. A survey", Discrete Math., 35 (1981), 173-181. | MR | Zbl

Moriconi F. Rizzi B., "Distropy in the dichotomic trees", Boll. Un. Mat. Ital., Ser. V, XIV-A n°1 (1978), 180-186. | MR | Zbl

Nelson G., "Cladistic analysis and synthesis : principles and definitions, with a historical note on Adanson's Familles des plantes (1763-1764)", Syst. Zool., 28 (1979), 1-21.

Nelson G., Platnick N., Systematics and biogeography. Cladistics and vicariance, Columbia University Press, New York, 1981.

Neumann D.A., "Faithful consensus methods for n-trees", Math. Biosci., 63 (1983), 271-287. | MR | Zbl

Neumann D.A., Norton V., On lattice consensus methods, Bowling Green State University, Bowling Green, 1985a.

Neumann D.A., Norton V., Consensus on partitions with applications to other structures, Bowling Green State University, Bowling Green, 1985b.

Parlebas P., "Centralité et compacité d'un graphe", Math. Sci. hum., 39 (1972), 5-26. | Numdam | MR | Zbl

Patil G.P., Taillie C., "An overview of diversity", in : GRASSLE J.F. et al, eds, Ecological diversity in theory and practice, (International Cooperative Publ. House, Fairland, MD), 1979, 3-27. | MR

Phipps J.B., "Dendrogram topology", Syst. Zool., 20 (1971), 306-308.

Picard C.F., Graphes et questionnaires. t.2: Questionnaires, Gauthier-Villars, Paris, 1972. Graphs and questionnaires, North-Holland, Amsterdam, 1980. | MR | Zbl

Robinson D.F., Foulds L.R., "Comparison of phylogenetic trees", Math. Biosci., 53 (1981), 131-147. | MR | Zbl

Rohlf F.J., "Consensus indices for comparing classifications", Math. Biosci, 59 (1982), 131-144. | MR

Schader M., "Hierarchical analysis : classification with ordinal object dissimilarities", Metrika, 27 (1980), 127-132. | MR | Zbl

Schuh R.T., Farris J.S., "Methods for investigating taxonomic congruence and their application to the Leptopodomorpha", Syst. Zool., 30 (1981), 331-351.

Schuh R.T., Polhemus J.T., "Analysis of taxonomic congruence among morphologigal, ecological and biogeographic data sets for the Leptopodomorpha (Hemiptera)", Syst. Zool., 29 (1980) , 1-26.

Sokal R.R., Rohlf F.J., "The comparison of dendrograms by objective methods", Taxon, 11 (1962), 33-39.

Sokal R.R., Rohlf F.J., "Taxonomic congruence in the Leptopodomorpha Reexamined", Syst. Zool., 30 (1981), 309-325.

Stinebrickner R., "s-consensus trees and indices", Bull. of math. Biology, 46 (1984a), 923-935. | MR | Zbl

Stinebrickner R., "An extension of intersection methods from trees to dendrograms", Syst. Zool., 33 (1984b), 381-386.

Waterman M.S., Smith T.F., "On the similarity of dendrograms", J. Theor. Biology, 73 (1978), 789-800. | MR

Williams W.T., Clifford H.T., "On the comparison of two classifications on the same set of elements", Taxon, 20 (1971), 519-522.