A COMBINING MATHEMATICAL PROGRAMMING METHOD FOR

Volume: 24 Number: 1 January 14, 2011
EN

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. 1] Freed, N., Glover, F., “A linear programming approach to discriminant problem”, Decision Sciences, 12: 68–74 (1981a).
  2. [2] Freed, N., Glover, F., “Simple but powerful goal programming models for discriminant problems”, European Journal of Operational Research, 7: 44– 60 (1981b).
  3. [3] Fisher, R.A, “The use of multiple measurements in taxonomy problems”, Annals of Eugenics, 7: 179– 188 (1936).
  4. [4] Smith, C.A.B., “Some examples of discrimination”, Annals of Eugenics, 13: 272–282 (1947).
  5. [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. [6] Sueyoshi, T., “DEA-discriminant analysis in the view of goal programming”, European Journal of Operational Research, 115: 564–582 (1999).
  7. [7] Sueyoshi, T., “DEA-Discriminant Analysis: Extended DEA-Discriminant analysis”, European Journal of Operational Research, 131: 324–351 (2001).
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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

APA
Örkcü, H., & Bal, H. (2011). A COMBINING MATHEMATICAL PROGRAMMING METHOD FOR. Gazi University Journal of Science, 24(1), 77-84. https://izlik.org/JA44KR86ZB
AMA
1.Örkcü H, Bal H. A COMBINING MATHEMATICAL PROGRAMMING METHOD FOR. Gazi University Journal of Science. 2011;24(1):77-84. https://izlik.org/JA44KR86ZB
Chicago
Örkcü, H.hasan, and Hasan Bal. 2011. “A COMBINING MATHEMATICAL PROGRAMMING METHOD FOR”. Gazi University Journal of Science 24 (1): 77-84. https://izlik.org/JA44KR86ZB.
EndNote
Örkcü H, Bal H (January 1, 2011) A COMBINING MATHEMATICAL PROGRAMMING METHOD FOR. Gazi University Journal of Science 24 1 77–84.
IEEE
[1]H. Örkcü and H. Bal, “A COMBINING MATHEMATICAL PROGRAMMING METHOD FOR”, Gazi University Journal of Science, vol. 24, no. 1, pp. 77–84, Jan. 2011, [Online]. Available: https://izlik.org/JA44KR86ZB
ISNAD
Örkcü, H.hasan - Bal, Hasan. “A COMBINING MATHEMATICAL PROGRAMMING METHOD FOR”. Gazi University Journal of Science 24/1 (January 1, 2011): 77-84. https://izlik.org/JA44KR86ZB.
JAMA
1.Örkcü H, Bal H. A COMBINING MATHEMATICAL PROGRAMMING METHOD FOR. Gazi University Journal of Science. 2011;24:77–84.
MLA
Örkcü, H.hasan, and Hasan Bal. “A COMBINING MATHEMATICAL PROGRAMMING METHOD FOR”. Gazi University Journal of Science, vol. 24, no. 1, Jan. 2011, pp. 77-84, https://izlik.org/JA44KR86ZB.
Vancouver
1.H.hasan Örkcü, Hasan Bal. A COMBINING MATHEMATICAL PROGRAMMING METHOD FOR. Gazi University Journal of Science [Internet]. 2011 Jan. 1;24(1):77-84. Available from: https://izlik.org/JA44KR86ZB