Agrégation des similarités : une solution oubliée

Michel Petitjean

RAIRO - Operations Research (2010)

  • Volume: 36, Issue: 1, page 101-108
  • ISSN: 0399-0559

Abstract

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The signed similarities aggregation problem is solved with a boolean method derived from the Faure and Malgrange algorithm. The method is adequate either for integer similarities or real similarites, and multiple solutions can be enumerated. It needs a space amount equal to three times the input data size.

How to cite

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Petitjean, Michel. "Agrégation des similarités : une solution oubliée." RAIRO - Operations Research 36.1 (2010): 101-108. <http://eudml.org/doc/105257>.

@article{Petitjean2010,
abstract = { The signed similarities aggregation problem is solved with a boolean method derived from the Faure and Malgrange algorithm. The method is adequate either for integer similarities or real similarites, and multiple solutions can be enumerated. It needs a space amount equal to three times the input data size. },
author = {Petitjean, Michel},
journal = {RAIRO - Operations Research},
keywords = {Agrégation des similarités; partition optimale; programmation linéaire en variables booléennes.; aggregation problem; boolean method},
language = {fre},
month = {3},
number = {1},
pages = {101-108},
publisher = {EDP Sciences},
title = {Agrégation des similarités : une solution oubliée},
url = {http://eudml.org/doc/105257},
volume = {36},
year = {2010},
}

TY - JOUR
AU - Petitjean, Michel
TI - Agrégation des similarités : une solution oubliée
JO - RAIRO - Operations Research
DA - 2010/3//
PB - EDP Sciences
VL - 36
IS - 1
SP - 101
EP - 108
AB - The signed similarities aggregation problem is solved with a boolean method derived from the Faure and Malgrange algorithm. The method is adequate either for integer similarities or real similarites, and multiple solutions can be enumerated. It needs a space amount equal to three times the input data size.
LA - fre
KW - Agrégation des similarités; partition optimale; programmation linéaire en variables booléennes.; aggregation problem; boolean method
UR - http://eudml.org/doc/105257
ER -

References

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  11. Roseaux, Exercices et problèmes résolus de recherche opérationnelle, Tome 3, Chap. III. Masson, Paris (1985).  
  12. G. Saporta, Probabilités, analyse des données et statistique, Chap. 12, Sections 12.1 et 12.2. Technip, Paris (1990).  
  13. A. Schrijver, Theory of Linear and Integer Programming, Part IV. John Wiley and Sons, New-York (1986).  
  14. G. Sierksma, Linear and Integer Prpgramming. Theory and Practice. Marcel Dekker Inc., New-York, Monogr. and Textbooks in Pure Appl. Math.198 (1996).  
  15. G. Vernin et M. Petitjean, Application de la méthode de recherche de partition centrale sur variables pondérées à la classification des vins. Étude préliminaire. Rev. Fr. Oenol. (Cahier Scientifique)31 (1991) 7-15.  

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