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Optimization of Fuzzy Objective Functions in Fuzzy (Multicriteria) Linear Programs - A Critical Survey

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Book cover Theoretical Advances and Applications of Fuzzy Logic and Soft Computing

Part of the book series: Advances in Soft Computing ((AINSC,volume 42))

Abstract

For calculating a solution of a linear program where coefficients of the objective function(s) may be fuzzy, we have to explain how the optimization of a fuzzy objective can be interpreted. In the literature of fuzzy linear programming, a lot of procedures for substituting fuzzy objectives by crisp ones are proposed. In this paper, a critical survey of these different methods is given.

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Authors and Affiliations

  1. J. W. Goethe University Frankfurt am Main, Institute of Statistics and, Mathematics, Mertonstr. 17-23, D-60054 Frankfurt am Main, Germany

    Heinrich J. Rommelfanger

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  1. Heinrich J. Rommelfanger
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Oscar Castillo Patricia Melin Oscar Montiel Ross Roberto Sepúlveda Cruz Witold Pedrycz Janusz Kacprzyk

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© 2007 Springer-Verlag Berlin Heidelberg

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Rommelfanger, H.J. (2007). Optimization of Fuzzy Objective Functions in Fuzzy (Multicriteria) Linear Programs - A Critical Survey. In: Castillo, O., Melin, P., Ross, O.M., Sepúlveda Cruz, R., Pedrycz, W., Kacprzyk, J. (eds) Theoretical Advances and Applications of Fuzzy Logic and Soft Computing. Advances in Soft Computing, vol 42. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72434-6_33

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  • DOI: https://doi.org/10.1007/978-3-540-72434-6_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72433-9

  • Online ISBN: 978-3-540-72434-6

  • eBook Packages: EngineeringEngineering (R0)

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