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New method to posynomial geometric programming of trapezoidal fuzzy numbers

Author

Listed:
  • Zeinab Kheiri

    (Guangzhou University)

  • Faezeh Zahmatkesh

    (Guangzhou University)

  • Bing-Yuan Cao

    (Guangzhou University)

Abstract

This paper presents a method for solving posynomial geometric programming with fuzzy coefficients. By utilizing comparison of fuzzy numbers with a method, the programming with fuzzy coefficients is reduced to the programming with constant coefficients. Then the programming with fuzzy coefficients can be solved by using a method for posynomial geometric programming. Finally, one comparative example is used to illustrate advantage of the new method.

Suggested Citation

  • Zeinab Kheiri & Faezeh Zahmatkesh & Bing-Yuan Cao, 2013. "New method to posynomial geometric programming of trapezoidal fuzzy numbers," Fuzzy Information and Engineering, Springer, vol. 5(3), pages 373-380, September.
  • Handle: RePEc:spr:fuzinf:v:5:y:2013:i:3:d:10.1007_s12543-013-0147-z
    DOI: 10.1007/s12543-013-0147-z
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    References listed on IDEAS

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    1. S.H. Nasseri & A. Ebrahimnejad, 2010. "A fuzzy primal simplex algorithm and its application for solving flexible linear programming problems," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 4(3), pages 372-389.
    2. A. Ebrahimnejad & S. H. Nasseri, 2009. "Using complementary slackness property to solve linear programming with fuzzy parameters," Fuzzy Information and Engineering, Springer, vol. 1(3), pages 233-245, September.
    3. S. H. Nasseri & N. Mahdavi-Amiri, 2009. "Some duality results on linear programming problems with symmetric fuzzy numbers," Fuzzy Information and Engineering, Springer, vol. 1(1), pages 59-66, March.
    Full references (including those not matched with items on IDEAS)

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