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Posynomial Geometric Programming with Fuzzy Coefficients

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Fuzzy Information & Engineering and Operations Research & Management

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 211))

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Abstract

In practice, there are many problems in which all decision parameters are fuzzy numbers, and such problems are usually solved by either possibilistic programming or multiobjective programming methods. Unfortunately, all these methods have shortcomings. In this note, using the concept of comparison of fuzzy numbers, we introduce a very effective method for solving these problems. Then we propose a new method for solving posynomial geometric programming problems with fuzzy coefficients.

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References

  1. Cao B.Y.: Solution and theory of question for a kind of fuzzy positive geometric program. Proceedings of IFSA Congress, vol. 1, pp. 205–208. Toyo, (1987).<error l="70" c="Undefined command " / &gt.

    Google Scholar 

  2. Cao, B.Y.: Fuzzy geometric programming (I). Int. Fuzzy Sets Syst. 53, 135–153 (1993)

    Article  MATH  Google Scholar 

  3. Verma, R.K.: Fuzzy geometric programming with several objective function. Int. J. Fuzzy Sets Syst. 35, 115–120 (1990)

    Article  MATH  Google Scholar 

  4. Biswal, M.P.: Fuzzy programming technique to solve multi objective geometric programming Problems. Int. J. Fuzzy Sets Syst. 51, 67–71 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  5. Cao, B.Y.: Some type of multi-objective geometric programming. Hunan Annals Math. 1, 99–106 (1995)

    Google Scholar 

  6. Zhou, X.G., Li, P.L.: A method for solving posynomial geometric programming with fuzzy number. Fuzzy Syst. Math. 23(2), 144–148 (2009)

    MATH  Google Scholar 

  7. Hu, R.J.: A method for solving posynomial geometric programming. J. Guangzhou Univ. 9(3), 23–25 (2010)

    MATH  Google Scholar 

  8. Wu F., Yun Y.Y.: Geometric programming Practice and understanding of mathematics, the periodical 1 to periodical 4, (1982)

    Google Scholar 

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Acknowledgments

Thanks to the support by National Natural Science Foundation of China (No. 70771030, No. 70271047 and No. 71173051).

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Authors and Affiliations

  1. School of Management, Guangdong University of Technology, 510520 , Guangdong, China

    Ren-jie Hu & Guang-yu Zhang

  2. School of Mathematics and Information Science, Guangzhou University, 510006 , Guangdong, China

    Bing-yuan Cao

Authors
  1. Ren-jie Hu
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  2. Bing-yuan Cao
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  3. Guang-yu Zhang
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Corresponding author

Correspondence to Guang-yu Zhang .

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Editors and Affiliations

  1. School of Mathematics and Information Science, Guangzhou University Higher Education Mega Center, Guangzhou, People's Republic of China

    Bing-Yuan Cao

  2. Department of Mathematics and Computer Sciences, Mazandaran University, Babolsar, Iran

    Hadi Nasseri

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Hu, Rj., Cao, By., Zhang, Gy. (2014). Posynomial Geometric Programming with Fuzzy Coefficients. In: Cao, BY., Nasseri, H. (eds) Fuzzy Information & Engineering and Operations Research & Management. Advances in Intelligent Systems and Computing, vol 211. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38667-1_5

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  • DOI: https://doi.org/10.1007/978-3-642-38667-1_5

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38666-4

  • Online ISBN: 978-3-642-38667-1

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