Minimax chance constrained programming models for fuzzy decision systems

Information Sciences

Volumn 112, Issue 1-4, 1998, Pages 25-38

  Liu, Baoding ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

Fuzzy decision; Fuzzy programming; Fuzzy simulation; Genetic algorithm

Indexed keywords

COMPUTER SIMULATION; CONSTRAINT THEORY; DECISION SUPPORT SYSTEMS; DECISION THEORY; FUZZY SETS; GENETIC ALGORITHMS; MATHEMATICAL MODELS; PROBLEM SOLVING;

FUZZY DECISION SYSTEMS; MINIMAX CHANCE CONSTRAINED PROGRAMMING;

NONLINEAR PROGRAMMING;

EID: 0032290201     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-0255(98)10015-4     Document Type: Article

References (18)

1. B. Bouchon-Meunier, V. Kreinovich, A. Lokshin, H.T. Nguyen, On the formulation of optimization under elastic constraints (with control in mind), Fuzzy Sets and Systems 81 (1996) 5-29.
2. J.J. Buckley, Y. Hayashi, Fuzzy genetic algorithm and applications, Fuzzy Sets and Systems 61 (1994) 129-136.
3. A. Charnes, W.W. Cooper, Chance-constrained programming, Management Science 6 (1) (1959) 73-79.
4. D. Dubois, H. Prade, Possibility Theory, Plenum Press, New York, 1988.
5. D. Dubois, H. Prade, Fuzzy numbers: An overview, in: J.C. Bezdek (Ed.), Analysis of Fuzzy Information, vol.2, CRC Press, Boca Raton, 1988, pp. 3-39.
6. D.B. Fogel, An introduction to simulated evolutionary optimization, IEEE Transactions on Neural Networks 5 (1) (1994) 3-14.
7. D.E. Goldberg, Genetic Algorithms in Search, Optimization and Machine Learning, Addison-Wesley, Reading, MA, 1989.
8. K. Iwamura, B. Liu, A genetic algorithm for chance constrained programming, Journal of Information & Optimization Sciences 17 (1996) 409-422.
9. B. Liu, K. Iwamura, Chance constrained programming with fuzzy parameters, Fuzzy Sets and Systems 94 (2) (1998) 227-237.
10. B. Liu, K. Iwamura, A note on chance constrained programming with fuzzy coefficients, Fuzzy Sets and Systems 100 (1998) 221-225.
11. B. Liu, K. Iwamura, Fuzzy programming with fuzzy decisions and fuzzy simulation based genetic algorithm, Technical Report (1997).
12. M.K. Luhandjula, Linear programming under randomness and fuzziness, Fuzzy Sets and Systems 10 (1983) 45-55.
13. M.K. Luhandjula, On possibilistic linear programming, Fuzzy Sets and Systems 18 (1986) 15-30.
14. M.K. Luhandjula, Fuzzy Optimization: An appraisal, Fuzzy Sets and Systems 30 (1989) 257-282.
15. Z. Michalewicz, Genetic Algorithms + Data Structures Evolution Programs, 2nd ed., Springer, New York, 1994.
16. A.V. Yazenin, On the problem of possibilistic optimization, Fuzzy Sets and Systems 81 (1996) 133-140.
17. L.A. Zadeh, Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems 1 (1978) 3-28.
18. H.-J. Zimmermann, Applications of fuzzy set theory to mathematical programming, Information Sciences 36 (1985) 29-58.