Model and method based on GA for nonlinear programming problems with fuzzy objective and resources

International Journal of Systems Science

Volumn 29, Issue 8, 1998, Pages 907-913

  Tang, Jiafu ^a   Wang, Dingwei ^a   Fung, Richard Y K ^b  

^a NORTHEASTERN UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; DECISION THEORY; FUZZY SETS; GENETIC ALGORITHMS; HUMAN COMPUTER INTERACTION; MATHEMATICAL MODELS; MEMBERSHIP FUNCTIONS; NONLINEAR PROGRAMMING; PROBLEM SOLVING;

FUZZY NONLINEAR PROGRAMMING; WEIGHTED GRADIENT;

OPTIMAL SYSTEMS;

EID: 0032141525     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207729808929582     Document Type: Article

References (18)

1. Bellman, R. E., and Zadeh, L. A., 1970, Decision making in a fuzzy environment. Management Science. 17, 141-164.
2. Calsson, C., Fuller, R., 1994, Interdependence in fuzzy multiple objective programming. Fuzzy Sets and Systems, 65, 19-29.
3. Chanas S 1989, Fuzzy programming in multiobjective linear programming—a parametric approach. Fuzzy Sets and Systems. 29, 303-313.
4. Holland, J. H., 1975, Adaptation in Natural and Artificial Systems (Michigan: The University of Michigan Press).
5. Lai, Y, and Hwang, C., 1992, Fuzzy Mathematical Programming (Berlin: Springer-Verlag).
6. Li, J., 1994, On an algorithm for solving fuzzy linear systems. Fuzzy Sets and Systems, 61, 369-371.
7. Luhandjula, M, K., 1989, Fuzzy optimization: an appraisal. Fuzzy Sets and Systems, 30, 257-282.
8. Michaelwicz, Z., 1992, Genetic Algorithms + Data structures = Evaluation Programs (New York: Springer-Verlag).
9. McDonald, A. G., Cuddeford, G. C., and Bcale, E. M. L., 1974, Mathematical Models of the balance of care. British Med. Bulletin, 30, 262.
10. Qiao, Z., Zhang, Y., and Wang, G., 1994, On fuzzy random linear programming. Fuzzy Sets and Systems, 65, 31-49.
11. Sakawa, M., and Yano, H., 1985, An Interactive Fuzzy Satisficing Method Using Augmented Minimax Problems and its Application to Environmental Systems, IEEE Transactions on Systems Man and Cybernetics, 15, 720-728.
12. Sakawa, M., and Yano, H., 1989, An interactive fuzzy satisfacing method for mulliobjective nonlinear programming problems with fuzzy parameters. Fuzzy Sets and Systems, 30, 221-238.
13. Tanaka, H., and Asia, K., 1984, Fuzzy solution in fuzzy linear programming. IEEE Transactions on Systems Man and Cybernetics, 14, 325-328.
14. Tang, J., and Wang, D., 1996, Modelling and optimization for a type of fuzzy nonlinear programming problems in manufacturing systems,. Proceedings of 35th IEEE Conference on Decision and Control, pp. 4401-4405.
15. Tang, J., and Wang, D., 1997, An interactive approach based on a GA for a type of quadratic programming problems with fuzzy objective and resources. Computers and Operations Research, 24,413-422.
16. Wang, D., 1997, An inexact approach for linear programming with fuzzy objective and resource. Fuzzy Sets and Systems, 89, 61-68.
17. Zimmermann, H. J., 1976, Description and optimization of fuzzy system. International Journal of General System, 2, 209-216.
18. Zimmermann, H.-J., 1985, Fuzzy Sets Theory and its Applications (Hinghum: Kluwer-Nijhoff).