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International Conference on Natural Computation

ICNC 2005: Advances in Natural Computation pp 1101–1104Cite as

A Method for Solving Nonlinear Programming Models with All Fuzzy Coefficients Based on Genetic Algorithm

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3611))

Abstract

This paper develops a novel method for solving a type of nonlinear programming model with all fuzzy coefficients (AFCNP). For a decision maker specified credibility level, by presenting the equivalent deterministic forms of fuzzy inequality constraints and fuzzy objective, the fuzzy model is converted into a crisp constrained nonlinear programming model with parameter (CPNP). An improved genetic algorithm is presented to solve the CPNP and obtain the crisp optimal solution of AFCNP for specified credibility level.

This work is supported by National Natural Science Foundation of China Grant #70471031.

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Author information

Authors and Affiliations

  1. College of Sciences, Naval University of Engineering, Wuhan, 430033, China

    Yexin Song

  2. Huazhong University of Science and Technology, Wuhan, 430074, China

    Yingchun Chen

  3. College of Electronic Engineering, Naval University of Engineering, Wuhan, 430033, China

    Xiaoping Wu

Authors
  1. Yexin Song
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  2. Yingchun Chen
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  3. Xiaoping Wu
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Editor information

Editors and Affiliations

  1. School of Electrical and Electronic Engineering, Nanyang Technological University, Block S1, Nanyang Avenue, 639798, Singapore

    Lipo Wang

  2. School of Software, Sun Yat-Sen University, 510275, Guangzhou, China

    Ke Chen

  3. School of Computer Engineering, Nanyang Technological University, BLK N4, 2b-39, Nanyang Avenue, 639798, Singapore

    Yew Soon Ong

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© 2005 Springer-Verlag Berlin Heidelberg

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Song, Y., Chen, Y., Wu, X. (2005). A Method for Solving Nonlinear Programming Models with All Fuzzy Coefficients Based on Genetic Algorithm. In: Wang, L., Chen, K., Ong, Y.S. (eds) Advances in Natural Computation. ICNC 2005. Lecture Notes in Computer Science, vol 3611. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539117_149

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  • DOI: https://doi.org/10.1007/11539117_149

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28325-6

  • Online ISBN: 978-3-540-31858-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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