Fuzzy constraints linear programming: A genetic algorithm approach

International Journal of Innovative Computing, Information and Control

Volumn 3, Issue 1, 2007, Pages 71-83

  Lin, Feng Tse ^a   Lee, Ming Gar ^a  

^a CHINESE CULTURE UNIVERSITY   (Taiwan)

Author keywords

Fuzzy constraints linear programming; Fuzzy numbers; Genetic algorithms; Mathematical pro gramming

Indexed keywords

EID: 48249132269     PISSN: 13494198     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. Buckley, J. J., T. Feuring and Y. Hayashi, Neural net solutions to fuzzy linear programming, Fuzzy Sets and Systems, vol.106, pp.99-111, 1999.
2. Buckley, J. J. and T. Feuring, Evolutionary algorithm solution to fuzzy problems: Fuzzy linear programming, Fuzzy Sets and Systems, vol.109, pp.35-53, 2000.
3. Chiang, J., Fuzzy linear programming based on statistical confidence interval and interval-valued fuzzy set, European Journal of Operational Research, vol.29, pp.65-86, 2001.
4. Czyzak, P., Application of the FLIP method to farm structure optimization under uncertainty, in Stochastic Versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty, R. Slowinski and J. Teghem (eds.), Reidel, Dordrecht, pp.263-278, 1990.
5. Goldberg, D. E., Genetic Algorithms in Search, Optimization, and Machine Learning, Addison - Wesley, Reading, MA, 1989.
6. Jamison, K. D. and W. A. Lodwick, Fuzzy linear programming using a penalty method, Fuzzy Sets and Systems, vol.119, pp.97-110, 2001.
7. Luenberger, D. G., Introduction to Linear and Nonlinear Programming, 2nd edition, Addison-Wesley, Reading, MA., 1984.
8. Michalewicz, Z., Genetic Algorithms + Data Structures = Evolution Programs, 2nd edition, Springer-Verlag Berlin Heidelberg, 1994.
9. Ostermark, R., Fuzzy linear constraints in the capital asset pricing model, Fuzzy Sets and Systems, vol.30, pp.93-102, 1989.
10. Ribeiro, R. A. and F. M. Pires, Fuzzy linear programming via simulated annealing, Kybernetika, vol.35, pp.57-67, 1999.
11. Slowinski, R., A multicriteria fuzzy linear programming method for water supply system development planning, Fuzzy Sets and Systems, vol. 19, pp.217-237, 1986.
12. Trappey, J. F. C, C. R. Liu and T. C. Chang, Fuzzy non-linear programming theory and application in manufacturing, International Journal of Production Research, vol.26, pp.957-985, 1988.
13. Verdegay, J. L., Application of fuzzy optimization in operational research, Control and Cybernetics, vol. 13, pp.229-239, 1984.
14. Wang, H. F. and M. L. Wang, A fuzzy multiobjective linear programming, Fuzzy Sets and Systems, vol.86, pp.61-72, 1997.
15. Zimmermann, H.-J., Fuzzy programming and linear programming with several objective functions, Fuzzy Sets and Systems, vol.l, pp.45-55, 1978.