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A new effective solution method for fully intuitionistic fuzzy transportation problem

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Abstract

A transportation problem in its balanced form where all parameters and variables are of triangular intuitionistic fuzzy values is considered in this study. In the literature of the field, the existing proposed approaches have many shortcomings, e.g., obtaining negative solutions for the variables and obtaining negative objective function value in existence of positive unit transportation costs. In this study, considering the existing shortcomings, a new and effective solution approach is proposed to overcome such shortcomings. The performed computational experiments prove the superiority of the proposed approach over those of the literature from the results’ quality.

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Acknowledgements

We would like to express our sincere thanks to the editors and referees of the journal for their helpful comments and suggestions which helped us to improve the quality of this paper.

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Authors and Affiliations

  1. Department of Mathematics, Masjed-Soleiman Branch, Islamic Azad University, Masjed-Soleiman, Iran

    Ali Mahmoodirad

  2. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

    Tofigh Allahviranloo

  3. Department of Industrial Engineering, Firouzabad Institute of Higher Education, Firouzabad, Fars, Iran

    Sadegh Niroomand

Authors
  1. Ali Mahmoodirad
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  2. Tofigh Allahviranloo
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  3. Sadegh Niroomand
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Corresponding author

Correspondence to Tofigh Allahviranloo.

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Authors Ali Mahmoodirad, Tofigh Allahviranloo, Sadegh Niroomand declare that they have no conflict of interest.

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This article does not contain any studies with human participants or animals performed by any of the authors.

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Communicated by V. Loia.

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Mahmoodirad, A., Allahviranloo, T. & Niroomand, S. A new effective solution method for fully intuitionistic fuzzy transportation problem. Soft Comput 23, 4521–4530 (2019). https://doi.org/10.1007/s00500-018-3115-z

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