Interactive decision making for multiobjective nonconvex programming problems with fuzzy numbers through coevolutionary genetic algorithms

Fuzzy Sets and Systems

Volumn 114, Issue 1, 2000, Pages 151-165

  Sakawa, Masatoshi ^a   Yauchi, Katsuhiro ^a  

^a HIROSHIMA UNIVERSITY   (Japan)

Author keywords

Coevolution; Fuzzy numbers; Genetic algorithms; Interactive methods; Multiobjective nonconvex programming problems

Indexed keywords

EID: 0006412230     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(98)00241-3     Document Type: Article

References (20)

1. M. Gen, R. Cheng, Genetic Algorithms and Engineering Design, Wiley, New York, 1997.
2. D.E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning, Addison-Wesley, Reading, MA, 1989.
3. J.H. Holland, Adaptation in Natural and Artificial Systems, University of Michigan Press, 1975; MIT Press, Cambridge, 1992.
4. J.A. Joines, C.R. Houck, On the use of non-stationary penalty functions to solve nonlinear constrained optimization problems with GA's, Proc. 1st IEEE Internat. Conf. Evolutionary Computation, IEEE Press, 1994, pp. 579-584.
5. L.S. Lasdon, R.L. Fox, M.W. Ratner, Nonlinear optimization using the generalized reduced gradient method, Revue Française d'Automatique, Inform. Res. Opér. 3 (1974) 73-103.
6. L.S. Lasdon, A.D. Waren, M.W. Ratner, GRG2 User's Guide, Technical Memorandum, University of Texas, 1980.
7. Z. Michalewicz, Genetic Algorithms + Data Structures = Evolution Programs (1992, 2nd extended ed., 1994, 3rd, revised and extended ed.) Springer, Berlin, 1996.
8. Z. Michalewicz, Genetic algorithms, numerical optimization and constraints, Proc. 6th Internat. Conf. on Genetic Algorithms, 1995, pp. 151-158.
9. Z. Michalewicz, N. Attia, Evolutionary optimization of constrained problems, Proc. 3rd Ann. Conf. on Evolutionary Programming, 1994, pp. 98-108.
10. Z. Michalewicz, C.Z. Janikow, Handling constraints in genetic algorithms, Proc. 4th Internat. Conf. on Genetic Algorithms, 1991, pp. 151-157.
11. Z. Michalewicz, T. Logan, S. Swaminathan, Evolutionary operators for continuous convex parameter spaces, Proc. 3rd Ann. Conf. on Evolutionary Programming, 1994, pp. 84-97.
12. Z. Michalewicz, G. Nazhiyath, Genocop III: a co-evolutionary algorithm for numerical optimization problems with nonlinear constraints, Proc. 2nd IEEE Internat. Conf. Evolutionary Computation, IEEE Press, 1995, pp. 647-651.
13. Z. Michalewicz, M. Schoenauer, Evolutionary algorithms for constrained parameter optimization problems, Evolutionary Comput. 4(1) (1996) 1-32.
14. D. Powell, M. Skolnick, Using genetic algorithms in engineering design optimization with non-linear constraints, Proc. 5th Internat. Conf. on Genetic Algorithms, 1993, pp. 424-430.
15. M. Sakawa, Fuzzy Sets and Interactive Multiobjective Optimization, Plenum Press, New York, 1993.
16. M. Sakawa, M. Tanaka, Genetic Algorithms, Asakura Syoten, Tokyo, 1995 (in Japanese).
17. M. Sakawa, H. Yano, An interactive method for multiobjective nonlinear programming problems with fuzzy parameters, in: R. Trappl (Ed.), Cybernetics and Systems '86, D. Reidel Publishing Company, Dordrecht, 1986, pp. 607-614.
18. M. Sakawa, H. Yano, An interactive satisficing method for multiobjective nonlinear programming problems with fuzzy parameters, in: J. Kacprzyk, S.A. Orlovski (Eds.), Optimization Models Using Fuzzy Sets and Possibility Theory, D. Reidel Publishing Company, Dordrecht, 1987, pp. 258-271.
19. M. Sakawa, H. Yano, Interactive decision making for multiobjective nonlinear programming problems with fuzzy parameters, Fuzzy Sets and Systems 29(3) (1989) 315-326.
20. A.P. Wierzbicki, The use of reference objectives in multiobjective optimization, in: G. Fandel, T. Gal (Eds.), Multiple Criteria Decision Making: Theory and Application, Springer, Berlin, 1980, pp. 468-486.