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A Fuzzy Decomposition Method by Right-Hand-Side Allocation for Large-Scale Multiobjective Nonlinear Programming Problems

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Multicriteria Analysis

Abstract

This paper deals with large-scale multiobjective nonlinear programming problems with the block angular structure in a fuzzy environment. By incorporating the fuzzy goals of the decision maker for the objective functions and adopting the add-operator for aggregating them, a fuzzy decomposition method by right-hand-side allocation is proposed. An illustrated numerical example is provided to indicate the feasibility of the proposed method.

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References

  1. Bellman, R.E. and Zadeh, L.A., Decision making in a fuzzy environment, Management Sci.: 17, pp. 141–164 (1970).

    Article  Google Scholar 

  2. Haimes, Y.Y., Tarvainen, K., Shima, T. and Thadathil, J., Hierarchical Multiobjective Analysis of Large-Scale Systems, Hemisphere Publishing Corporation (1989).

    Google Scholar 

  3. Lasdon, L.S., Optimization Theory for Large Systems, The Macmillan Company (1970).

    Google Scholar 

  4. Lasdon, L.S., Waren, A.D. and Ratner, M.W., GRG2 User’s Guide, Technical Memorandum, University of Texas (1980).

    Google Scholar 

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

    Google Scholar 

  6. Sakawa, M. and Yano, H., A fuzzy dual decomposition method for largescale multiobjective nonlinear programming problems, Fuzzy Sets and Systems, 67, pp.19–27 (1994).

    Article  Google Scholar 

  7. Sommer, G. and Pollatschek, M.A., A Fuzzy programming approach to an air pollution regulation problem, in R. Trappl. G.J. Klir and L. Ricciard i Eds, Progress in Cybernetics and Systems Research, Hemisphere, Washington, DC, pp.303-323 (1978).

    Google Scholar 

  8. Zimmermann, H.-J., Fuzzy programming and linear programming with several objective functions, Fuzzy Sets and Systems, 1, pp.45–55 (1978).

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Industrial and Systems Engineering, Faculty of Engineering, Hiroshima University, Higashi-Hiroshima, 739, Japan

    Masatoshi Sakawa

  2. Nagoya Municipal Women’s College, Nagoya, 464, Japan

    Hitoshi Yano

Authors
  1. Masatoshi Sakawa
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  2. Hitoshi Yano
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Editor information

Editors and Affiliations

  1. Faculty of Economics, University of Coimbra, Av. Dias da Silva 165, 3000, Coimbra, Portugal

    João Clímaco

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© 1997 Springer-Verlag Berlin · Heidelberg

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Sakawa, M., Yano, H. (1997). A Fuzzy Decomposition Method by Right-Hand-Side Allocation for Large-Scale Multiobjective Nonlinear Programming Problems. In: Clímaco, J. (eds) Multicriteria Analysis. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60667-0_23

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  • DOI: https://doi.org/10.1007/978-3-642-60667-0_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64500-6

  • Online ISBN: 978-3-642-60667-0

  • eBook Packages: Springer Book Archive

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