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Introduction and Historical Remarks

In: Fuzzy Stochastic Multiobjective Programming

Author

Listed:
  • Masatoshi Sakawa

    (Hiroshima University)

  • Ichiro Nishizaki

    (Hiroshima University)

  • Hideki Katagiri

    (Hiroshima University)

Abstract

The main characteristics of the real-world decision making problems facing humans today are uncertain due to the increase in complexity of modern-day society as well as the diversification of values among people. Hence, when formulating a mathematical programming problem which closely describes and represents a real decision situation, various factors of the real system should be reflected in the description of the objective functions and the constraints. Naturally, these objective functions and the constraints involve many parameters whose possible values may be estimated by the experts. In the most traditional approaches, such parameters are fixed at some values in an experimental and/or subjective manner through the experts’ understanding of the nature of the parameters. However, in most practical decision making situations, it would be more appropriate to consider uncertainty of the parameters of the objectives and constraints in the problems.

Suggested Citation

  • Masatoshi Sakawa & Ichiro Nishizaki & Hideki Katagiri, 2011. "Introduction and Historical Remarks," International Series in Operations Research & Management Science, in: Fuzzy Stochastic Multiobjective Programming, chapter 0, pages 1-9, Springer.
    • Handle: RePEc:spr:isochp:978-1-4419-8402-9_1
    DOI: 10.1007/978-1-4419-8402-9_1
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