Skip to main content
SpringerLink
Log in

New method to posynomial geometric programming of trapezoidal fuzzy numbers

  • Original Article
  • Published:
Fuzzy Information and Engineering

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Abbasbandy S, Hajjari T (2009) A new approach for ranking of trapezoidal fuzzy numbers. Computers and Mathematics with Applications 57: 413–419

    Article  MathSciNet  MATH  Google Scholar 

  2. Beightler C S, Phillips D T (1976) Applied geometric programming. New York: John Wiley and Sons

    MATH  Google Scholar 

  3. Cadenas J M, Verdegay J L (2000) Using ranking functions in multiobjective fuzzy linear programming. Fuzzy Sets and Systems 111: 47–53

    Article  MathSciNet  MATH  Google Scholar 

  4. Campos L, Verdegay J L (1989) Linear programming problems and ranking of fuzzy numbers. Fuzzy Sets and Systems 32: 1–11

    Article  MathSciNet  MATH  Google Scholar 

  5. Cao B Y (1987) Solution and theory of question for a kind of fuzzy positive geometric program. Proc. of 2nd IFSA Congress, Tokyo I: 205–208

    Google Scholar 

  6. Cao B Y (2002) Fuzzy geometric programming. Kluwer Academic Publishers

    Book  MATH  Google Scholar 

  7. Duffin R J, Peterson E L, Zener C (1967) Geometric programming: Theory and application. New York: wiley

    MATH  Google Scholar 

  8. Ebrahimnejad A, Nasseri S H (2009) Using complementary slackness property to solve linear programming with fuzzy parameters. Fuzzy Information and Engineering 3: 233–245

    Article  Google Scholar 

  9. Lai Y J, Hwang C L (1992) Fuzzy mathematical programming methods and applications. Berlin: Springer

    Book  MATH  Google Scholar 

  10. Ma M, Friedman M, Kandel A (1999) A new fuzzy arithmetic. Fuzzy Sets and Systems 108: 83–90

    Article  MathSciNet  MATH  Google Scholar 

  11. Mahdavi-Amiri N, Nasseri S H (2007) Duality results and a dual simplex method for linear programming with trapezoidal fuzzy variables. Fuzzy Sets and Systems 158: 1961–1978

    Article  MathSciNet  MATH  Google Scholar 

  12. Mahdavi-Amiri N, Nasseri S H, Yazdani Cherati A (2009) Fuzzy primal simplex algorithms for solving fuzzy linear programming problems. Iranian Journal of Operational Research 2: 68–84

    Google Scholar 

  13. Maleki H R, Tata M, Mashinchi M (2000) Linear programming with fuzzy variables. Fuzzy Sets and Systems 109: 21–33

    Article  MathSciNet  MATH  Google Scholar 

  14. Nasseri S H, Ebrahimnejad A (2010) A fuzzy primal simplex algorithm and its application for solving flexible linear programming problems. European Journal of Industrial Engineering 4: 372–389

    Article  Google Scholar 

  15. Nasseri S H, Ebrahimnejad A (2010) A fuzzy dual simplex method for a fuzzy number linear programming problem. Advances in Fuzzy Sets and Systems 5: 81–95

    MathSciNet  MATH  Google Scholar 

  16. Nasseri S H, Khabiri B (2010) A revised simplex algorithm for fuzzy number linear programming problems using linear ranking functions. International Journal of Mathematics and Computation 8: 114–126

    MathSciNet  Google Scholar 

  17. Nasseri S H, Mahdavi-Amiri N (2009) Some duality results on linear programming problems with symmetric fuzzy numbers. Fuzzy Information and Engineering 1: 59–66

    Article  MATH  Google Scholar 

  18. Yager R R (1981) A procedure for ordering fuzzy subsets of the unit interval. Information Science 24: 143–161

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

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

    Zeinab Kheiri, Faezeh Zahmatkesh & Bing-Yuan Cao

Authors
  1. Zeinab Kheiri
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Faezeh Zahmatkesh
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Bing-Yuan Cao
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Bing-Yuan Cao.

About this article

Cite this article

Kheiri, Z., Zahmatkesh, F. & Cao, BY. New method to posynomial geometric programming of trapezoidal fuzzy numbers. Fuzzy Inf. Eng. 5, 373–380 (2013). https://doi.org/10.1007/s12543-013-0147-z

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12543-013-0147-z

Keywords

Search

Navigation