A mathematical programming based procedure for breast cancer classification

Journal of Mathematical Modelling and Algorithms

Volumn 9, Issue 3, 2010, Pages 247-255

  Masmoudi, Youssef ^a   Chabchoub, Habib ^b   Hanafi, Saïd ^c   Rebaï, Ahmed ^d  

^a Higher Institute of Industrial Management of Sfax   (Tunisia)

^b UNIVERSITY OF SFAX   (Tunisia)

^c UNIVERSITÉ DE VALENCIENNES   (France)

^d CENTRE DE BIOTECHNOLOGIE DE SFAX   (Tunisia)

Author keywords

Breast cancer; Classification; Clustering; CPLEX; k means; Mathematical programming; Mixed integer programming

Indexed keywords

EID: 77955424196     PISSN: 15701166     EISSN: 15729214     Source Type: Journal    
DOI: 10.1007/s10852-010-9138-9     Document Type: Article

References (12)

1. Bezdek, J. C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum Press, New York (1981).
2. Bradley, P. S., Mangasarien, O. L., Street, W. N.: Clustering via concave minimisation. Adv. Neural Inf. Process. Syst. 9, 368-374. MIT Press, Cambridge (1997).
3. Saglam, B., Sibel Salman, F., Sayin, S., Turkay, M.: Mixed-integer programming approach to the clustering problem with an application in customer segmentation. Eur. J. Oper. Res. 173, 866-879 (2006).
4. Filding, A. H.: Cluster and Classification Techniques for the Biosciences. Cambridge University Press, Cambridge (2007).
5. Finnegan, T. J., Carey, L. A.: Gene-expression analysis and the basal-like breast cancer subtype. Future Oncol. 3, 55-63 (2007).
6. Hartigan, J. A.: Clustering Algorithms. Wiley Series in Probability and Mathematical Statistics (1975).
7. ILOG CPLEX 10. 0 distribution, including Concert Technology for C++. www. ilog. com.
8. K-Means Clustering Tutorial. http://people. revoledu. com/kardi/tutorial/kMean/index. html (mai 2007).
9. Mangasarian, O. L.: Mathematical programming in data mining. Data Mining and Knowledge Discovery 1(2), 183-201 (1997).
10. Masmoudi, Y., Chabchoub, H.: Une méthode d'équilibrage des clusters issue de k-means. In: Conférence Scientifique Conjointe FRANCORO/ROADEF2007, Grenoble, France, pp. 309-310. ISBN 978-2-7061-1398-7 (2007).
11. Duda, R. O., Hart, P. E., Stork, D. G.: Pattern Classification, 2nd edn. Wiley Interscience, New York (2000).
12. Halgamuge, S. K., Wang, L.: Classification and Clustering for Knowledge Discovery. Spring (2005).