Dissimilarites de type spherique et positionnement multidimensionnel normé

Farid Beninel

RAIRO - Operations Research (2010)

  • Volume: 33, Issue: 4, page 569-581
  • ISSN: 0399-0559

Abstract

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Our concern here, is the characterization of dissimilarity indexes defined over finite sets, whose spatial representation is spherical. Consequently, we propose a methodology (Normed MultiDimensional Scaling) to determine the spherical euclidean representation of a set of items best accounting for the initial dissimilarity between items. This methodology has the advantage of being graphically readable on individual qualities of projection like the normed PCA, of which it constitutes a generalization. Moreover, it avoids the arbitrary character of spherical encoding which the use of similitude functions currently used in MDS, implies.

How to cite

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Beninel, Farid. "Dissimilarites de type spherique et positionnement multidimensionnel normé." RAIRO - Operations Research 33.4 (2010): 569-581. <http://eudml.org/doc/197833>.

@article{Beninel2010,
abstract = { Our concern here, is the characterization of dissimilarity indexes defined over finite sets, whose spatial representation is spherical. Consequently, we propose a methodology (Normed MultiDimensional Scaling) to determine the spherical euclidean representation of a set of items best accounting for the initial dissimilarity between items. This methodology has the advantage of being graphically readable on individual qualities of projection like the normed PCA, of which it constitutes a generalization. Moreover, it avoids the arbitrary character of spherical encoding which the use of similitude functions currently used in MDS, implies. },
author = {Beninel, Farid},
journal = {RAIRO - Operations Research},
keywords = {Dissimilarity; Euclidean image; MDS; metric analysis; spherical dissimilarity; Euclidean transformation; similitude functions. },
language = {eng},
month = {3},
number = {4},
pages = {569-581},
publisher = {EDP Sciences},
title = {Dissimilarites de type spherique et positionnement multidimensionnel normé},
url = {http://eudml.org/doc/197833},
volume = {33},
year = {2010},
}

TY - JOUR
AU - Beninel, Farid
TI - Dissimilarites de type spherique et positionnement multidimensionnel normé
JO - RAIRO - Operations Research
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 4
SP - 569
EP - 581
AB - Our concern here, is the characterization of dissimilarity indexes defined over finite sets, whose spatial representation is spherical. Consequently, we propose a methodology (Normed MultiDimensional Scaling) to determine the spherical euclidean representation of a set of items best accounting for the initial dissimilarity between items. This methodology has the advantage of being graphically readable on individual qualities of projection like the normed PCA, of which it constitutes a generalization. Moreover, it avoids the arbitrary character of spherical encoding which the use of similitude functions currently used in MDS, implies.
LA - eng
KW - Dissimilarity; Euclidean image; MDS; metric analysis; spherical dissimilarity; Euclidean transformation; similitude functions.
UR - http://eudml.org/doc/197833
ER -

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