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On the Fuzzy Fractional Posynomial Geometric Programming Problems

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Fuzzy Systems & Operations Research and Management

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 367))

Abstract

In this paper we consider the solution method for fuzzy fractional posynomial geometric programming (FFPGP) problems. The problem of concern involves positive trapezoidal fuzzy numbers in the objective function. The proposed approach relies on posing the FFPGP problem as a multi-objective posynomial geometric programming (MOPGP) problem by using simple transformation and condense technique. An illustrative example is included to demonstrate the correctness of the proposed solution algorithm.

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Acknowledgments

Thanks to the support by National Natural Science Foundation of China (No.70771030) and Project of Guangdong Provincial Foreign Students (Ph.D.) Scholarship.

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Authors and Affiliations

  1. School of Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong, Higher Education Institutes, Guangzhou University, Guangdong, 510006, China

    F. Zahmatkesh & Bing-yuan Cao

  2. Guangzhou University, Guangdong, 510550, China

    Bing-yuan Cao

Authors
  1. F. Zahmatkesh
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  2. Bing-yuan Cao
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Corresponding author

Correspondence to Bing-yuan Cao .

Editor information

Editors and Affiliations

  1. Guangzhou University, Guangzhou, China

    Bing-Yuan Cao

  2. Foreign Affairs Office, National Defense University, Beijing, China

    Zeng-Liang Liu

  3. Higher Education Mega Center, Guangzhou University, Guangzhou, China

    Yu-Bin Zhong

  4. Zhuhai Campus, Beijing Normal University, Zhuhai, China

    Hong-Hai Mi

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Zahmatkesh, F., Cao, By. (2016). On the Fuzzy Fractional Posynomial Geometric Programming Problems. In: Cao, BY., Liu, ZL., Zhong, YB., Mi, HH. (eds) Fuzzy Systems & Operations Research and Management. Advances in Intelligent Systems and Computing, vol 367. Springer, Cham. https://doi.org/10.1007/978-3-319-19105-8_9

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  • DOI: https://doi.org/10.1007/978-3-319-19105-8_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-19104-1

  • Online ISBN: 978-3-319-19105-8

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