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Fuzzy geometric programming and its application

Author

Listed:
  • Ji-hui Yang

    (Shenyang Artillery Academy)

  • Bing-yuan Cao

    (School of Mathematics and Information Science)

Abstract

Fuzzy geometric programming (GP) is an important optimization type. In this paper, first the origin of fuzzy GP is introduced, some recent research findings of its theory have been summarized. Then a lot of progress achieved in application is introduced in fuzzy GP, including applications in power system, environmental engineering, economic management, etc. The range of its application expects to be further expanded. Besides, as a branch of fuzzy GP, the fuzzy relation GP, rough (extension) and grey one have also been mentioned. Finally, the new research direction of fuzzy GP will be put forward.

Suggested Citation

  • Ji-hui Yang & Bing-yuan Cao, 2010. "Fuzzy geometric programming and its application," Fuzzy Information and Engineering, Springer, vol. 2(1), pages 101-112, March.
    • Handle: RePEc:spr:fuzinf:v:2:y:2010:i:1:d:10.1007_s12543-010-0040-y
    DOI: 10.1007/s12543-010-0040-y
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    References listed on IDEAS

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    1. Islam, Sahidul & Roy, Tapan Kumar, 2006. "A new fuzzy multi-objective programming: Entropy based geometric programming and its application of transportation problems," European Journal of Operational Research, Elsevier, vol. 173(2), pages 387-404, September.
    2. Bing-yuan Cao, 2009. "Rough posynomial geometric programming," Fuzzy Information and Engineering, Springer, vol. 1(1), pages 37-57, March.
    3. Gen, Mitsuo & Yun, YoungSu, 2006. "Soft computing approach for reliability optimization: State-of-the-art survey," Reliability Engineering and System Safety, Elsevier, vol. 91(9), pages 1008-1026.
    4. Tapan Kumar Roy, 2008. "Fuzzy Geometric Programming with Numerical Examples," Springer Optimization and Its Applications, in: Cengiz Kahraman (ed.), Fuzzy Multi-Criteria Decision Making, pages 567-587, Springer.
    5. Elmor Peterson, 2001. "The Origins of Geometric Programming," Annals of Operations Research, Springer, vol. 105(1), pages 15-19, July.
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    Cited by:

    1. G. S. Mahapatra & T. K. Mandal, 2012. "Posynomial Parametric Geometric Programming with Interval Valued Coefficient," Journal of Optimization Theory and Applications, Springer, vol. 154(1), pages 120-132, July.

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