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On Optimization with Fuzzy Constraint Conditions

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Fuzzy Control

Part of the book series: Advances in Soft Computing ((AINSC,volume 6))

Abstract

In general, it is a difficult problem to solve an optimal criterion set with fuzzy constraint conditions. In this paper, the difficult problem is changed into a simple problem to solve a conditional extreme value problem in mathematics. Thus it becomes rather simpler to solve the problems for fuzzy linear programming and fuzzy nonlinear programming. The paper provides with detailed case studies on optimization with single fuzzy constraint condition as well as on optimization with multi-fuzzy constraint conditions and multi-objective functions. Finally, this paper presents related theories on determination of the optimal criterion set.

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References

  1. Peizhuang, W.: Fuzzy Set Theory and Their Application (in Chinese). Shanhai Science and Technology Press, Shanhai (1983)

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Author information

Authors and Affiliations

  1. Belgian Nuclear Research Centre (SCK·CEN), Boeretang 200, B-2400, Mol, Belgium

    Jun Liu & Da Ruan

  2. Department of Applied Mathematics, Southwest Jiaotong University, 610031, Chengdu, Sichuan, P. R. China

    Zhenming Song & Yang Xu

Authors
  1. Jun Liu
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  2. Da Ruan
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  3. Zhenming Song
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  4. Yang Xu
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Editor information

Editors and Affiliations

  1. Institute of Process Technique, Automation and Measuring Technique (IPM), University of Applied Sciences Zittau/Görlitz, Theodor-Körner-Allee 16, 02763, Zittau, Germany

    Rainer Hampel , Michael Wagenknecht  & Nasredin Chaker ,  & 

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© 2000 Springer-Verlag Berlin Heidelberg

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Liu, J., Ruan, D., Song, Z., Xu, Y. (2000). On Optimization with Fuzzy Constraint Conditions. In: Hampel, R., Wagenknecht, M., Chaker, N. (eds) Fuzzy Control. Advances in Soft Computing, vol 6. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1841-3_12

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  • DOI: https://doi.org/10.1007/978-3-7908-1841-3_12

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-1327-2

  • Online ISBN: 978-3-7908-1841-3

  • eBook Packages: Springer Book Archive

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