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A primal-dual method for linear programming problems with fuzzy variables

Author

Listed:
  • A. Ebrahimnejad
  • S.H. Nasseri
  • F. Hosseinzadeh Lotfi
  • M. Soltanifar

Abstract

Linear programming problems with fuzzy variables have been investigated by many researchers in the recent literature. Some methods to solve these problems, such as the primal simplex method and the dual simplex method, are based on the concept of comparison of fuzzy numbers by using ranking functions. In this paper, we give a new primal-dual algorithm for solving linear programming problems with fuzzy variables by using duality results, which was proposed by Mahdavi-Amiri and Nasseri (2007). This algorithm will be useful for sensitivity analysis when the activity vectors change for basic columns. [Received 29 September 2008; Revised 16 March 2009; Accepted 17 April 2009]

Suggested Citation

  • A. Ebrahimnejad & S.H. Nasseri & F. Hosseinzadeh Lotfi & M. Soltanifar, 2010. "A primal-dual method for linear programming problems with fuzzy variables," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 4(2), pages 189-209.
    • Handle: RePEc:ids:eujine:v:4:y:2010:i:2:p:189-209
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    Cited by:

    1. A. Ebrahimenjad, 2011. "A new link between output-oriented BCC model with fuzzy data in the present of undesirable outputs and MOLP," Fuzzy Information and Engineering, Springer, vol. 3(2), pages 113-125, June.
    2. Ali Ebrahimnejad, 2015. "A duality approach for solving bounded linear programming problems with fuzzy variables based on ranking functions and its application in bounded transportation problems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(11), pages 2048-2060, August.
    3. Anila Gupta & Amit Kumar & Mahesh Kumar Sharma, 2013. "Applications of fuzzy linear programming with generalized LR flat fuzzy parameters," Fuzzy Information and Engineering, Springer, vol. 5(4), pages 475-492, December.
    4. Manuel Arana-Jiménez & Carmen Sánchez-Gil, 2020. "On generating the set of nondominated solutions of a linear programming problem with parameterized fuzzy numbers," Journal of Global Optimization, Springer, vol. 77(1), pages 27-52, May.

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