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A Simplified Novel Technique for Solving Fully Fuzzy Linear Programming Problems

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Abstract

This study proposes a novel technique for solving Linear Programming Problems in a fully fuzzy environment. A modified version of the well-known simplex method is used for solving fuzzy linear programming problems. The use of a ranking function together with the Gaussian elimination process helps in solving linear programming problems in a fully uncertain environment. The proposed algorithm is flexible, easy and reasonable.

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Acknowledgements

We are thankful to CIIT Abbottabad, Pakistan, UTM Malaysia and the respectable reviewers of the paper.

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Author notes

  1. Izaz Ullah Khan

    Present address: COMSATS Institute of IT Abbottabad, Abbottabad, Pakistan

Authors and Affiliations

  1. Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310, Skudai, Johor Darul Ta’zim, Malaysia

    Izaz Ullah Khan, Tahir Ahmad & Normah Maan

Authors
  1. Izaz Ullah Khan
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  2. Tahir Ahmad
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  3. Normah Maan
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Correspondence to Izaz Ullah Khan.

Additional information

Communicated by Lotfi A. Zadeh.

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Khan, I.U., Ahmad, T. & Maan, N. A Simplified Novel Technique for Solving Fully Fuzzy Linear Programming Problems. J Optim Theory Appl 159, 536–546 (2013). https://doi.org/10.1007/s10957-012-0215-2

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