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Linear programming with triangular fuzzy numbers—A case study in a finance and credit institute

Author

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  • S. H. Nasseri

    (University of Mazandaran)

  • E. Behmanesh

    (University of Mazandaran)

Abstract

The objective of this paper is to deal with a kind of fuzzy linear programming problem involving triangular fuzzy numbers. Then some interesting and fundamental results are achieved which in turn lead to a solution of fuzzy linear programming models without converting the problems to the crisp linear programming models. Finally, the theoretical results are also supported by a real case study in a banking system. The same idea is emphasized to be also useful when a general LR fuzzy numbers is given.

Suggested Citation

  • S. H. Nasseri & E. Behmanesh, 2013. "Linear programming with triangular fuzzy numbers—A case study in a finance and credit institute," Fuzzy Information and Engineering, Springer, vol. 5(3), pages 295-315, September.
    • Handle: RePEc:spr:fuzinf:v:5:y:2013:i:3:d:10.1007_s12543-013-0151-3
    DOI: 10.1007/s12543-013-0151-3
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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 & Seyed Hadi Nasseri, 2010. "A dual simplex method for bounded linear programmes with fuzzy numbers," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 2(6), pages 762-779.
    3. 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.
    4. 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.
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    Cited by:

    1. Abdoulaye Compaor¨¦ & Kounhinir Som¨¦ & Joseph Poda & Blaise Som¨¦, 2018. "Efficiency of MOMA-plus Method to Solve Some Fully Fuzzy L-R Triangular Multiobjective Linear Programs," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(2), pages 77-87, April.

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