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A new method for the solution of fully fuzzy linear programming models

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Abstract

In this study, we first show that the existing arithmetic operations of trapezoidal fuzzy numbers do not satisfy the basic properties. Then, for trapezoidal fuzzy numbers, we define new arithmetic operations. Furthermore, we demonstrate that the existing Simplex method for addressing fully fuzzy linear programming problems has some drawbacks. Finally, we provide a new strategy for solving fully fuzzy linear programming problems and compare our results with the existing methods.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan

    Muhammad Akram & Inayat Ullah

  2. Faculty of Engineering and Natural Sciences, Istinye University, Istanbul, Turkey

    Tofigh Allahviranloo

Authors
  1. Muhammad Akram
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  2. Inayat Ullah
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  3. Tofigh Allahviranloo
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Correspondence to Tofigh Allahviranloo.

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Communicated by Graçaliz Pereira Dimur.

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Akram, M., Ullah, I. & Allahviranloo, T. A new method for the solution of fully fuzzy linear programming models. Comp. Appl. Math. 41, 55 (2022). https://doi.org/10.1007/s40314-021-01756-4

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