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A Simplified Novel Technique for Solving Linear Programming Problems with Triangular Fuzzy Variables via Interval Linear Programming Problems

Author

Listed:
  • Ladji Kané

    (Department of Applied Mathematics Faculté des Sciences Economiques et de Gestion, Bamako, Mali)

  • Lassina Diabaté

    (Department of Applied Mathematics Faculté des Sciences Economiques et de Gestion, Bamako, Mali)

  • Daouda Diawara

    (Department of Applied Mathematics Faculté des Sciences Economiques et de Gestion, Bamako, Mali)

  • Moussa Konaté

    (Department of Applied Mathematics Faculté des Sciences Economiques et de Gestion, Bamako, Mali)

  • Souleymane Kané

    (Department of Applied Mathematics Faculté des Sciences Economiques et de Gestion, Bamako, Mali)

Abstract

This study proposes a novel technique for solving Linear Programming Problems with triangular fuzzy variables. A modified version of the well-known simplex method and the Existing Method for Solving Interval Linear Programming problems are used for solving linear programming problems with triangular fuzzy variables. Furthermore, for illustration, some numerical examples and one real problem are used to demonstrate the correctness and usefulness of the proposed method. The proposed algorithm is flexible, easy, and reasonable.

Suggested Citation

  • Ladji Kané & Lassina Diabaté & Daouda Diawara & Moussa Konaté & Souleymane Kané, 2021. "A Simplified Novel Technique for Solving Linear Programming Problems with Triangular Fuzzy Variables via Interval Linear Programming Problems," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 7(2), pages 82-93, 04-2021.
  • Handle: RePEc:arp:ajoams:2021:p:82-93
    DOI: 10.32861/ajams.72.82.93
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