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An Interactive Fuzzy Satisfying Method for Multiobjective Nonlinear Integer Programming Problems through Genetic Algorithms

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Fuzzy Sets and Systems — IFSA 2003 (IFSA 2003)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2715))

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Abstract

In this paper, we propose a general-purpose solution method for non-linear integer programming problems by extending genetic algorithms with double strings for linear ones. After describing the proposed genetic algorithm, its efficiency will be shown through numerical experiments using single-objective nonlinear programming problems. Furthermore, focusing on multiobjective non-linear integer programming problems, we present an interactive fuzzy satisficing method through the proposed genetic algorithm.

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References

  1. Holland, J.H.: Adaptation in Natural and Artificial Systems, University of Michigan Press (1975)

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  2. Michalewicz, Z.: Genetic Algorithms + Data Structures = Evolution Programs, Springer-Verlag, (1992), Second extended edition, (1994), Third revised and extended edition, (1996)

    Google Scholar 

  3. Sakawa, M.: Fuzzy Sets and Interactive Multiobjective Optimization, Plenum Press, New York (1993)

    MATH  Google Scholar 

  4. Sakawa, M.: Genetic Algorithms and Fuzzy Multiobjective Optimization, Kluwer Academic Publishers, Boston/Dordrecht/London (2002)

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  5. Sakawa, M., Kato, K.: Integer programming through genetic algorithms with double strings based on reference solution updating, 2000 IEEE International Conference on Industrial Electronics, Control and Instrumentation, (2000) 2915–2920

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  6. Sakawa, M., Kato, K., Shibano, T., Hirose, K.: Fuzzy multiobjective integer programs through genetic algorithms using double string representation and information about solutions of continuous relaxation problems, Proceedings of 1999 IEEE International Conference on Systems, Man and Cybernetics, (1999) 967–972

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  7. Sakawa, M., Kato, K., Sunada, H., Shibano, T.: Fuzzy programming for multiobjective 0–1 programming problems through revised genetic algorithms, European Journal of Operational Research 97 (1997) 149–158.

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  8. Sakawa, M., Kato, K., Ushiro, S., Ooura, K.: Fuzzy programming for general multiobjective 0–1 programming problems through genetic algorithms with double strings, 1999 IEEE International Fuzzy Systems Conference Proceedings 3 (1999) 1522–1527

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© 2003 Springer-Verlag Berlin Heidelberg

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Sakawa, M., Kato, K. (2003). An Interactive Fuzzy Satisfying Method for Multiobjective Nonlinear Integer Programming Problems through Genetic Algorithms. In: Bilgiç, T., De Baets, B., Kaynak, O. (eds) Fuzzy Sets and Systems — IFSA 2003. IFSA 2003. Lecture Notes in Computer Science, vol 2715. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44967-1_85

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  • DOI: https://doi.org/10.1007/3-540-44967-1_85

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40383-8

  • Online ISBN: 978-3-540-44967-6

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