Solving the transportation problem with fuzzy coefficients using genetic algorithms

IEEE International Conference on Fuzzy Systems

Volumn , Issue , 2009, Pages 1468-1473

  Lin, Feng Tse ^a  

^a CHINESE CULTURE UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

FUZZY COEFFICIENTS; FUZZY DEMAND; FUZZY NUMBERS; FUZZY OBJECTIVE FUNCTION; FUZZY TRANSPORTATION PROBLEM; NUMERICAL SIMULATION; RANKING FUZZY NUMBERS; TRANSPORTATION PROBLEM;

COMPETITION; COMPUTER SIMULATION; FUZZY RULES; FUZZY SETS; FUZZY SYSTEMS; GENETIC ALGORITHMS;

PROBLEM SOLVING;

EID: 71249142668     PISSN: 10987584     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FUZZY.2009.5277202     Document Type: Conference Paper

References (15)

1. Chanas, S., W. Kolodziejczyk, and A. Machaj, A fuzzy approach to the transportation problem, Fuzzy Sets and Systems 13, pp. 211-221, 1984.
2. Chanas, S., D. Kuchta, A concept of the optimal solution of the transportation problem with fuzzy cost coefficients, Fuzzy Sets and Systems 82, pp. 299-305, 1996.
3. Chiang, J., The optimal solution of the transportation problem with fuzzy demand and fuzzy product, Journal of Information Science and Engineering, vol. 21, pp.439-451, 2005.
4. Hitchcock, F. L., The distribution of a product from several sources to numerous locations, Journal of Mathematical Physics, vol. 20, pp. 224-230, 1941.
5. Jimenez, F. and J. L. Verdegay, Obtaining fuzzy solutions to the fuzzy solid transportation problem with genetic algorithms, Proceedings of the Sixth IEEE International Conference on Fuzzy Systems, Barcelona, Spain, pp.1657-1663, 1997.
6. Kaufmann, A. and Gupta, M. M., Fuzzy Mathematical Models in Engineering and Management Science, Van Nostrand Reinhold, 1988.
7. Kikuchi, S. A method to defuzzify the fuzzy number: transportation problem application, Fuzzy Sets and Systems 116, pp.3-9, 2000.
8. Li, Y., K. Ida, and M. Gen, Evolutionary program for multicriteria solid transportation problem with fuzzy numbers, Proceedings of the third IEEE Conference on Evolutionary Computation, IEEE Press, Nagoya, Japan, 1996.
9. Lin, F. T. and M. G. Lee, Fuzzy Constraints Linear Programming: A Genetic Algorithm Approach, International Journal of Innovative Computing, Information and Control, Vol.3, No. 1, pp.71-83, 2007.
10. Lin, F. T., Time-Cost Tradeoff Problem Based on Confidence-Interval Estimates and Level (1-α) Fuzzy Numbers, International Journal of Innovative Computing, Information and Control, Vol. 4, No. 10, pp. 2551-2564, 2008.
11. Lin, F. T., Solving the knapsack problem with imprecise weight coefficients using genetic algorithms", European Journal of Operational Research, Vol. 185, No. 1, pp. 133-145, 2008
12. Liu, S. T. and C. Kao, Solving fuzzy transportation problems based on extension principle, European Journal of Operational Research 153, pp. 661-674, 2004.
13. Liu, S. T., The total cost bounds of the transportation problem with varying demand and supply, Omega 31, pp.247-251, 2003.
14. Tada, M. and H. Ishii, An integer fuzzy transportation problem, Computers mathematical applications, vol. 31, no. 9, pp. 71-87, 1996.
15. Taha, H. A., Operation Research, 5th ed., Macmillan Publishing Company, New York, 1992.