A new effective solution method for fully intuitionistic fuzzy transportation problem

  • Ali Mahmoodirad
  • Tofigh AllahviranlooEmail author
  • Sadegh Niroomand
Methodologies and Application


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.


Transportation problem Triangular intuitionistic fuzzy number Intuitionistic fuzzy transportation problem Optimal solution 



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.

Compliance with ethical standards

Conflict of interest

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

Ethical approval

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


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© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Masjed-Soleiman BranchIslamic Azad UniversityMasjed-SoleimanIran
  2. 2.Department of Mathematics, Science and Research BranchIslamic Azad UniversityTehranIran
  3. 3.Department of Industrial EngineeringFirouzabad Institute of Higher EducationFirouzabadIran

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