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Fuzzy Applications in Industrial Engineering pp 275–290Cite as

Optimization and Decision Making under Interval and Fuzzy Uncertainty: Towards New Mathematical Foundations

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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 201))

Abstract

In many industrial engineering problems, we must select a design, select parameters of a process, or, in general, make a decision. Informally, this decision must be optimal, the best for the users. In traditional operations research, we assume that we know the objective function f(x) whose values describe the consequence of a decision x for the user. Optimization of well-defined functions is what started calculus in the first place: once we know the objective function f(x), we can use differentiation to find its maximum, e.g., as the point x at which the derivative of f with respect to x is equal to 0.

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Author information

Authors and Affiliations

  1. New Mexico State University, New Mexico

    Hung T. Nguyen

  2. University of Texas at El Paso, Texas

    Vladik Kreinovich

Authors
  1. Hung T. Nguyen
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  2. Vladik Kreinovich
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Editor information

Editors and Affiliations

  1. Industrial Department of Engineering Faculty Management, Istanbul Technical University, Campus Macka, Istanbul, 80680, Turkey

    Cengiz Kahraman Dr.

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© 2006 Springer

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Nguyen, H.T., Kreinovich, V. (2006). Optimization and Decision Making under Interval and Fuzzy Uncertainty: Towards New Mathematical Foundations. In: Kahraman, C. (eds) Fuzzy Applications in Industrial Engineering. Studies in Fuzziness and Soft Computing, vol 201. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-33517-X_10

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  • DOI: https://doi.org/10.1007/3-540-33517-X_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-33516-0

  • Online ISBN: 978-3-540-33517-7

  • eBook Packages: EngineeringEngineering (R0)

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