A COMBINING MATHEMATICAL PROGRAMMING METHOD FOR
Abstract
In spite of the abundance of articles on mathematical programming models to the two-group classification problem, very few have addressed the multi-group classification problem using mathematical programming. This study presents a new multi-group data classification method based on mathematical programming. A new multi-group data classification model is proposed in this study that includes the strong properties of the mathematical programming models previously suggested for multi-group classification problems in the literature. The efficiency of proposed approach is tested on the well-known IRIS data set. The results on the IRIS data set show that our proposed method is usability and efficient on multi-group classification problems.
Keywords
References
- 1] Freed, N., Glover, F., “A linear programming approach to discriminant problem”, Decision Sciences, 12: 68–74 (1981a).
- [2] Freed, N., Glover, F., “Simple but powerful goal programming models for discriminant problems”, European Journal of Operational Research, 7: 44– 60 (1981b).
- [3] Fisher, R.A, “The use of multiple measurements in taxonomy problems”, Annals of Eugenics, 7: 179– 188 (1936).
- [4] Smith, C.A.B., “Some examples of discrimination”, Annals of Eugenics, 13: 272–282 (1947).
- [5] Lam, K.F., Choo, E.U., Moy, J.W., “Minimizing deviations from the group mean: A new linear programming approach for the two-group classification problem”, European Journal of Operational Research, 88: 358–367 (1996).
- [6] Sueyoshi, T., “DEA-discriminant analysis in the view of goal programming”, European Journal of Operational Research, 115: 564–582 (1999).
- [7] Sueyoshi, T., “DEA-Discriminant Analysis: Extended DEA-Discriminant analysis”, European Journal of Operational Research, 131: 324–351 (2001).
- [8] Sueyoshi, T., “Mixed integer programming approach of extended DEA-Discriminant Analysis”, European Journal of Operational Research, 152: 45–55 (2004).
Details
Primary Language
English
Subjects
-
Journal Section
-
Publication Date
January 14, 2011
Submission Date
March 23, 2010
Acceptance Date
-
Published in Issue
Year 2011 Volume: 24 Number: 1