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Interactive Fuzzy Multiobjective Stochastic Linear Programming

In: Linear and Multiobjective Programming with Fuzzy Stochastic Extensions

Author

Listed:
  • Masatoshi Sakawa

    (Hiroshima University)

  • Hitoshi Yano

    (Nagoya City University)

  • Ichiro Nishizaki

    (Hiroshima University)

Abstract

This chapter is devoted to several interactive fuzzy programming approaches to multiobjective stochastic programming problems. Through the use of the several stochastic models including the expectation model, the variance model, the probability model, the fractile model, and the simple recourse model together with chance constrained programming, the formulated multiobjective stochastic programming problems are transformed into deterministic ones. Assuming that the decision maker has the fuzzy goal for each of the objective functions, several interactive fuzzy satisficing methods are presented for deriving a satisficing solution for the decision maker by updating the reference membership levels.

Suggested Citation

  • Masatoshi Sakawa & Hitoshi Yano & Ichiro Nishizaki, 2013. "Interactive Fuzzy Multiobjective Stochastic Linear Programming," International Series in Operations Research & Management Science, in: Linear and Multiobjective Programming with Fuzzy Stochastic Extensions, edition 127, chapter 0, pages 197-232, Springer.
    • Handle: RePEc:spr:isochp:978-1-4614-9399-0_6
    DOI: 10.1007/978-1-4614-9399-0_6
    as

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