{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T07:13:40Z","timestamp":1648883620589},"reference-count":24,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2009,1,1]],"date-time":"2009-01-01T00:00:00Z","timestamp":1230768000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Operations Research"],"published-print":{"date-parts":[[2009]]},"abstract":"<jats:p>Discriminant Analysis (DA) is widely applied in many fields. Some recent researches raise the fact that standard DA assumptions, such as a normal distribution of data and equality of the variance-covariance matrices, are not always satisfied. A Mathematical Programming approach (MP) has been frequently used in DA and can be considered a valuable alternative to the classical models of DA. The MP approach provides more flexibility for the process of analysis. The aim of this paper is to address a comparative study in which we analyze the performance of three statistical and some MP methods using linear and nonlinear discriminant functions in two-group classification problems. New classification procedures will be adapted to context of nonlinear discriminant functions. Different applications are used to compare these methods including the Support Vector Machines- (SVMs-) based approach. The findings of this study will be useful in assisting decision-makers to choose the most appropriate model for their decision-making situation.<\/jats:p>","DOI":"10.1155\/2009\/252989","type":"journal-article","created":{"date-parts":[[2010,2,3]],"date-time":"2010-02-03T15:28:58Z","timestamp":1265210938000},"page":"1-34","source":"Crossref","is-referenced-by-count":4,"title":["Mathematical Programming Approaches to Classification Problems"],"prefix":"10.1155","volume":"2009","author":[{"given":"Soulef","family":"Smaoui","sequence":"first","affiliation":[{"name":"Unit\u00e9 de Recherche en Gestion Industrielle et Aide \u00e0 la D\u00e9cision, Facult\u00e9 des Sciences Economiques et de Gestion, Sfax, Tunisia"}]},{"given":"Habib","family":"Chabchoub","sequence":"additional","affiliation":[{"name":"Unit\u00e9 de Recherche en Gestion Industrielle et Aide \u00e0 la D\u00e9cision, Facult\u00e9 des Sciences Economiques et de Gestion, Sfax, 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