{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T07:17:02Z","timestamp":1649056622774},"reference-count":8,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Comp. Intel. Appl."],"published-print":{"date-parts":[[2010,12]]},"abstract":"<jats:p> This paper introduces a relational topological map model, dedicated to multidimensional categorial data (or qualitative data) arising in the form of a binary matrix or a sum of binary matrices. This approach is based on the principle of Kohonen's model (conservation of topological order) and uses the Relational Analysis formalism by maximizing a modified Condorcet criterion. This proposed method is developed from the classical Relational Analysis approach by adding a neighborhood constraint to the Condorcet criterion. We propose a hybrid algorithm, which deals linearly with large data sets, provides a natural clusters identification and allows a visualization of the clustering result on a two-dimensional grid while preserving the a priori topological order of this data. The proposed approach called Relational Topological Map (RTM) was validated on several databases and the experimental results showed very promising performances. <\/jats:p>","DOI":"10.1142\/s146902681000294x","type":"journal-article","created":{"date-parts":[[2010,11,12]],"date-time":"2010-11-12T04:22:08Z","timestamp":1289535728000},"page":"353-370","source":"Crossref","is-referenced-by-count":0,"title":["RELATIONAL TOPOLOGICAL MAP"],"prefix":"10.1142","volume":"09","author":[{"given":"LAZHAR","family":"LABIOD","sequence":"first","affiliation":[{"name":"LIPN UMR 7030, Universit\u00e9 Paris 13, 99, Avenue Jean-Baptiste Cl\u00e9ment, 93430 Villetaneuse, France"}]},{"given":"NISTOR","family":"GROZAVU","sequence":"additional","affiliation":[{"name":"LIPN UMR 7030, Universit\u00e9 Paris 13, 99, Avenue Jean-Baptiste Cl\u00e9ment, 93430 Villetaneuse, France"}]},{"given":"YOUN\u00c8S","family":"BENNANI","sequence":"additional","affiliation":[{"name":"LIPN UMR 7030, Universit\u00e9 Paris 13, 99, Avenue Jean-Baptiste Cl\u00e9ment, 93430 Villetaneuse, France"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf4","first-page":"768","volume":"21","author":"Forgy E. W.","journal-title":"Biometrics"},{"key":"rf8","volume-title":"Optimisation en Analyse Ordinale des Donn\u00e9es","author":"Marcotorchino J. F.","year":"1979"},{"key":"rf9","volume-title":"L'Analyse Factorielle Relationnelle: Partie I et II","volume":"03","author":"Marcotorchino J. F.","year":"1991"},{"key":"rf10","unstructured":"J. F.\u00a0Marcotorchino, Dualit\u00e9 Burt-Condorcet: Relation Entre Analyse Factorielle des Correspondances et Analyse Relationnelle (Springer, 2000)\u00a0pp. 211\u2013227."},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1142\/S1469026808002351"},{"key":"rf16","volume-title":"Machine Learning","author":"Lebbah M.","year":"2009"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-6080(02)00069-2"},{"key":"rf20","volume-title":"Self-Organizing Maps, Springer Series in Information Sciences","volume":"30","author":"Kohonen T.","year":"1995"}],"container-title":["International Journal of Computational Intelligence and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S146902681000294X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T20:17:46Z","timestamp":1565122666000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S146902681000294X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,12]]},"references-count":8,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2010,12]]}},"alternative-id":["10.1142\/S146902681000294X"],"URL":"https:\/\/doi.org\/10.1142\/s146902681000294x","relation":{},"ISSN":["1469-0268","1757-5885"],"issn-type":[{"value":"1469-0268","type":"print"},{"value":"1757-5885","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,12]]}}}