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Fuzzy Sets Theory and Applications pp 99–114Cite as

Fuzzy Set Theory and Mathematical Programming

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Part of the book series: NATO ASI Series ((ASIC,volume 177))

Abstract

Mathematical programming is one of the areas to which fuzzy set theory has been applied extensively. Primarily based on Bellman and Zadeh’s model of decision in fuzzy environments, models have been suggested which allow flexibility in constraints and fuzziness in the objective function in linear and nonlinear programming. This paper surveys major models and theories in this area and offers some indication on future developments.

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Author information

Authors and Affiliations

  1. Chair of Operations Research, Aachen Institute of Technology, Templergraben 55, 5100, Aachen, Germany

    H.-J. Zimmermann

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  1. H.-J. Zimmermann
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Editor information

Editors and Affiliations

  1. Université Catholique de Louvain, Louvain-la-Neuve, Belgium

    André Jones

  2. O.R. and M.S Consultant, Grenoble, France

    Arnold Kaufmann

  3. Institute of Technology, Aachen, Germany

    Hans-Jürgen Zimmermann

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© 1986 D. Reidel Publishing Company

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Zimmermann, HJ. (1986). Fuzzy Set Theory and Mathematical Programming. In: Jones, A., Kaufmann, A., Zimmermann, HJ. (eds) Fuzzy Sets Theory and Applications. NATO ASI Series, vol 177. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4682-8_7

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  • DOI: https://doi.org/10.1007/978-94-009-4682-8_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8581-6

  • Online ISBN: 978-94-009-4682-8

  • eBook Packages: Springer Book Archive

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