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Advances in Sensitivity Analysis and Parametic Programming pp 533–572Cite as

Fuzzy Mathematical Programming

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Part of the book series: International Series in Operations Research & Management Science ((ISOR,volume 6))

Abstract

This chapter introduces a type of mathematical programming, in which not all constraints have to be crisp, i.e. in which certain violations of the constraints are tolerable. Also the goals do not have to be maximized or minimized as in classical mathematical programming, they are substituted by aspiration levels, that have to be met as well as possible. Sensitivity analysis and parametric programming are involved in two ways. Since different kinds of constraints exist in fuzzy linear programming sensitivity analysis becomes more complicated and can lead to additional insights. Parametric programming can be used to arrive at a fuzzy set “decision”, starting from a crisp maximizing decision.

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  1. Hans-Jürgen Zimmermann
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Editors and Affiliations

  1. FernUniversität, Hagen, Germany

    Tomas Gal

  2. University of Colorado at Denver, USA

    Harvey J. Greenberg

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Zimmermann, HJ. (1997). Fuzzy Mathematical Programming. In: Gal, T., Greenberg, H.J. (eds) Advances in Sensitivity Analysis and Parametic Programming. International Series in Operations Research & Management Science, vol 6. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-6103-3_15

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  • DOI: https://doi.org/10.1007/978-1-4615-6103-3_15

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  • Print ISBN: 978-1-4613-7796-2

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