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On generating the set of nondominated solutions of a linear programming problem with parameterized fuzzy numbers

Author

Listed:
  • Manuel Arana-Jiménez

    (University of Cádiz)

  • Carmen Sánchez-Gil

    (University of Cádiz)

Abstract

The paper presents a new method for solving fully fuzzy linear programming problems with inequality constraints and parameterized fuzzy numbers, by means of solving multiobjective linear programming problems. The equivalence is proven between the set of nondominated solutions of the fully fuzzy linear programming problem and the set of weakly efficient solutions of the considered and related multiobjective linear problem. The whole set of nondominated solutions for a fully fuzzy linear programming problem is explicitly obtained by means of a finite generator set.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jglopt:v:77:y:2020:i:1:d:10.1007_s10898-019-00841-7
    DOI: 10.1007/s10898-019-00841-7
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    References listed on IDEAS

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