Consensus en classification : une revue bibliographique

Leclerc, Bruno ; Cucumel, Guy

Mathématiques et Sciences humaines, Tome 97 (1987), p. 109-128 / Harvested from Numdam

Détail

Publié le : 1987-01-01

MR 941912 | Zbl 0635.62055 | 3 citations dans Numdam

Bibliographie

I - Le Probleme MATHEMATIQUE DE L'AGREGATION : articles ou livres de base. Arrow, K.J., (1951) : Social Choice and Individual Values, New York, Wiley.

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Barthelemy, J.P., (1979b) : "Propriétés métriques des ensembles ordonnés. Comparaison et agrégation des relations binaires", Thèse, Université de Besançon.

Barthelemy, J.P., Janowitz, M.F., (1988): "Axioms for Consensus Rules" (titre provisoire), prépublication.

Barthelemy, J.P., Monjardet, B., (1980) : "Ajustement et résumé de données relationnelles : les relations centrales", in E. Diday et al., eds., Data Analysis and Informatics, Amsterdam, North-Holland.

Barthelemy, J.P., Monjardet, B., (1981) : "The Median Procedure in Cluster Analysis and Social Choice Theory", Mathematical Social Sciences, 1, (3), 235-268. | MR 616379 | Zbl 0486.62057

Barthelemy, J.P., Monjardet, B., (1988) : "The Median procedure in data analysis : new results and open problems", in H.H. Bock (ed.), Classification and Related Methods of Data Analysis, Amsterdam, North-Holland. | MR 999565

Borda, J.C., (1784) : Mémoire sur les élections au scrutin ; histoire de l'Académie Royale des Sciences pour 1781, Paris.

Condorcet, M.J.A. (1785) : Essai sur l'application de l'analyse à la probabilité des décisions rendues à la pluralité des voix, Paris.

Day, W.H.E., (1988) : "Consensus methods as tools for data analysis ", in H.H. Bock (ed.), Classification and Related Methods of Data Analysis, Amsterdam, North-Holland. | MR 999566

Guilbaud, G.Th., (1952) : "Les théories de l'intérêt général et le problème logique de l'agrégation", Economie Appliquée, 5, 501-551, repr. (1968) in Eléments de la Théorie des Jeux, Paris, Dunod.

Janowitz, M.F., (1988) : "Induced Social Welfare Functions", Mathematical Social Sciences, (to appear). | MR 947869 | Zbl 0664.90005

Leclerc, B., (1988a) : "Consensus Applications in the Social Sciences ", in H.H. Bock (ed.), Classification and Related Methods of Data Analysis, Amsterdam, North-Holland.

Leclerc, B., (1988b) : Medians and Majorities in Semimodular Lattices, rapport CMS-P031, Paris, Centre d'Analyse et de Mathématique Sociales.

Marcotorchino, F., Michaud, P., (1980) : Optimisation en analyse de données relationnelles, in E. Diday et al., eds., Data Analysis and Informatics, Amsterdam, North-Holland, 655-670. | Zbl 0485.62002

Michaud, P., Marcotorchino, F., (1979) : "Modèles d'optimisation en analyse de données relationnelles", Mathématiques et Sciences humaines, 67, 7-38. | Numdam | Zbl 0446.62058

Mirkin, B.G., (1974) : Group Choice (en russe), Trad. anglaise (1979), P. Fisburn, ed., Washington, Winston.

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Monjardet, B., (1987) : "Arrowian Characterizations of Latticial Fédération Consensus Functions", Rapport CMS-P030, Paris, Centre d'Analyse et de Mathématique Sociales.

Young, H.P., Levenglick, A., (1978) : "A Consistent Extension of Condorcet's Election Principle", SIAM Journal on Applied Mathematics, 35, 285-300. | MR 504073 | Zbl 0385.90010

Adams, E.N., III (1972) : "Consensus Techniques and the Comparison of Taxonomic Trees", Systematic Zoology, 21, 390-397.

Adams, E.N., III (1986) : "N-Trees as Nestings : Complexity, Similarity and Consensus, J. of Classification 3, n°2, 299-317. | MR 874241 | Zbl 0647.62057

Barthelemy, J.P., (1976) : Sur les éloignements symétriques et le principe de Pareto, Math. Sci. hum. 56, 97-125. | Numdam | MR 443835 | Zbl 0379.90007

Barthelemy, J.P., (1977a) : A propos des partitions centrales sur un ensemble non nécessairement fini, Statistique et Analyse des données 3, 54-62.

Barthelemy, J.P., (1977b) : Comparaison et agrégation des partitions et des préordres totaux, C.R. Acad. Sci. Paris, A-285, 985-987. | MR 498173 | Zbl 0399.05004

Barthelemy, J.P., (1979b) : "Propriétés métriques des ensembles ordonnés. Comparaison et agrégation des relations binaires". Thèse, Université de Besançon.

Barthelemy, J.P., (1988a) : Comments on "Aggregations of Equivalence Relations", by P.C. Fishburn and A. Rubinstein, à paraître dans le Journal of Classification. | Zbl 0655.62109

Barthelemy, J.P., (1988b) : Thresholded consensus for n-trees, à paraître dans J. of Classification. | MR 971154 | Zbl 0691.62057

Barthelemy, J.P., Leclerc, B., Monjardet, B., (1984a) : "Ensembles ordonnés et taxonomie mathématique ", in Orders : Description and Roles, eds. M. Pouzet and D. Richard, Annals of Discrete Mathematics, 23, Amsterdam, North-Holland, 523-548. | MR 779868 | Zbl 0566.62051

Barthelemy, J.P., Leclerc, B., Monjardet, B., (1984b) : "Quelques aspects du consensus en classification ", in Data Analysis and Informatics III, eds. E. Diday et al., Amsterdam, North-Holland, 307-316. | MR 787643 | Zbl 0566.62047

Barthelemy, J.P., Leclerc, B., Monjardet B., (1986): On the Use of Ordered Sets in Problems of Comparison and Consensus of Classifications, J. of Classification 3, n°2, 187-224. | MR 874238 | Zbl 0647.62056

Barthelemy, J.P., Mcmorris, F.R., (1986) : "The Median Procedure for n-trees", J. of Classification 3, n°2, 329-334. | MR 874243 | Zbl 0617.62066

BOCK, H.H., ed. (1988) : Classification and Related Methods of Data Analysis, Amsterdam, North-Holland. | MR 999548 | Zbl 0732.00020

Celeux, G., (1984): Approximation rapide et interprétation d'une partition centrale pour les algorithmes de partitionnement. Rapport INRIA n°301, INRIA, Rocquencourt.

Constantinescu, M., Sankoff, D., (1986) : Tree Enumeration Modulo a Consensus, J. of Classification 3, n°2, 349-356. | MR 874245 | Zbl 0652.92002

Day, W.H.E., (1986a) : Foreword : Comparison and Consensus of Classifications, J. of Classification 3, n°2,183-185.

Day, W.H.E., Mcmorris, F.R., (1985) : "A Formalization of Consensus Index Methods", Bulletin of Mathematical Biology, 47, 215-229. | MR 803562 | Zbl 0572.62052

Diday, E., (1988) : Compatibility and Consensus in Numerical Taxonomy, Rapport de Recherches, Rocquencourt, INRIA, à paraître.

Finden, C.R., Gordon, A.D., (1985) : "Obtaining Common Pruned Trees", J. of Classification 2, 255-276.

Fishburn, P.C., Rubinstein, A., (1986) : Aggregation of Equivalence Relations, J. of Classification 3, 61-65. | MR 845458 | Zbl 0607.62141

Gordon, A.D., (1980) : On the Assessment and Comparison of Classifications, in R.Thomassone (ed.), Analyse des Données et Informatique, Amsterdam, North-Holland, 193-218.

Gordon, A.D., (1986) : Consensus Supertrees : the synthesis of rooted trees containing overlapping sets of labeled leaves, J. of Classification 3, n°2, 335-348. | MR 874244 | Zbl 0623.62051

Gordon, A.D., (1987) : A review of Hierarchical Classification, J. of the Royal Statist. Soc., (series A), 150,119-137. | MR 896652 | Zbl 0616.62086

Grotschel, M., Wakabayashi, Y. (1987) : A cutting Plane Algorithm for a Clustering Problem, rapport de recherches n°9, Schwerpunktprogramm der Deutschen Forschungsgemeinschaft, Institut für Mathematik, Universität Augsburg.

Hendy, M., Penny, D. and Henderson, I.M., (1988) : Families of Trees and Consensus, in H.H. Bock (ed.), Classification and Related Methods of Data Analysis, Amsterdam, North-Holland. | MR 999548

Leclerc, B., (1984) : "Efficient and Binary Consensus Functions on Transitively Valued Relations",Mathematical Social Sciences, 8, 45-61. | MR 781659 | Zbl 0566.90003

Lerman, I.C., Peter, Ph., (1985) : Elaboration et logiciel d'un indice de similarité entre objets d'un type quelconque. Application au problème du consensus en classification, rapport 262, IRISA, Rennes.

Marcotorchino, F., Michaud, P., (1981) : Heuristic approach to the similarity aggregation problem, Methods of operation research 43, 395-404. | Zbl 0505.90002

Marcotorchino, F., Michaud, P., (1982) : "Agrégation de similarités en classification automatique", Revue de Statistique Appliquée, 30, 21-44. | Numdam | MR 676088 | Zbl 0537.62006

Margush, T., Mcmorris, F.R., (1981) : "Consensus n-Trees", Bulletin of Mathematical Biology, 43, 239-244. | MR 661505 | Zbl 0455.92019

Mcmorris F.R., Neumann, D.A., (1983) : "Consensus Functions on Trees", Mathematical Social Sciences, 4,131-136. | MR 698010 | Zbl 0511.90010

Mcmorris, F.R., (1985) : "Axioms for Consensus Functions on Undirected Phylogenetic Trees", Mathematical Biosciences, 74,17-21. | MR 791858 | Zbl 0569.92001

Mirkin, B.G., (1975) : "On the Problem of Reconciling Partitions", in Quantitative Sociology, International Perspectives on Mathematical and Statistical Modelling, New-York, Academic Press, 441-449. | MR 444120

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

Neumann, D.A., (1983) : "Faithful Consensus Methods for n-Trees", Math. Biosci., 63, 271-287. | MR 695731 | Zbl 0539.62073

Neumann, D.A., Norton, V., (1986a) : On Lattice Consensus Methods, J. of Classification 3, n°2, 225-255. | MR 874239 | Zbl 0617.62068

Neumann, D.A., Norton, V., (1986b) : Clustering and Isolation in the Consensus Problem for Partitions", J. of Classification 3, n°2, 281-297. | MR 874240 | Zbl 0624.62059

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Stinebrickner, R., (1986) : "s-Consensus Index Method : an additional axiom, J. of Classification 3, n°2, 319-327. | MR 874242 | Zbl 0617.62067

Vach, W., Degens, P.O., (1987) : The System of Common Lower Neighbours of a Hierarchy, Communication à la 1ère Conférence Internationale de la Fédération des Sociétés de Classification, Aix-la-Chapelle. | MR 999556 | Zbl 0733.92030

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Barthelemy, J.P., (1979a) : Caractérisations axiomatiques de la distance de la différence symétrique entre des relations binaires, Math. Sci. hum. 67, 85-113. | Numdam | Zbl 0418.06003

Barthelemy, J.P., Leclerc, B., Monjardet, B., (1984a) : "Ensembles ordonnés et taxonomie mathématique ", in Orders : Description and Roles, M. Pouzet and D. Richard (eds.), Annals of Discrete Mathematics, 23, Amsterdam, North-Holland, 523-548. | MR 779868 | Zbl 0566.62051

Barthelemy, J.P., Leclerc, B., Monjardet, B., (1984b) : "Quelques aspects du consensus en classification ", in Data Analysis and Informatics III, E. Diday et al. (eds.), Amsterdam, North-Holand, 307-316. | MR 787643 | Zbl 0566.62047

Barthelemy, J.P., Leclerc, B., Monjardet, B., (1986) : On the Use of Ordered Sets in Problems of Comparison and Consensus of Classifications", J. of Classification 3, n°2, 187-224. | MR 874238 | Zbl 0647.62056

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