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JMD method for transforming an unbalanced fully intuitionistic fuzzy transportation problem into a balanced fully intuitionistic fuzzy transportation problem

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Abstract

Mahmoodirad et al. (Soft Comput, 2018. https://doi.org/10.1007/s00500-018-3115-z) proposed an approach for solving fully intuitionistic fuzzy transportation problems (FIFTPs) (transportation problems in which each parameter is represented as a triangular intuitionistic fuzzy number). In this approach, firstly, an unbalanced fully intuitionistic fuzzy transportation problem (FIFTP) is transformed into a balanced FIFTP, and then the intuitionistic fuzzy (IF) optimal solution of the transformed balanced FIFTP is obtained. In this paper, it is shown that Mahmoodirad et al.’s approach fails to transform an unbalanced FIFTP and hence, Mahmoodirad et al.’s approach fails to find the IF optimal solution of unbalanced FIFTPs. It is obvious that to overcome this limitation of Mahmoodirad et al.’s approach, there is need to propose a method to transform an unbalanced FIFTP into a balanced FIFTP. Therefore, in this paper, a new method (named as JMD method) is proposed to transform an unbalanced FIFTP into a balanced FIFTP.

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Authors and Affiliations

  1. School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, Punjab, India

    Akansha Mishra & Amit Kumar

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  1. Akansha Mishra
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  2. Amit Kumar
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Correspondence to Akansha Mishra.

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Authors Akansha Mishra and Amit Kumar declare that they have no conflict of interest.

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Communicated by V. Loia.

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Mishra, A., Kumar, A. JMD method for transforming an unbalanced fully intuitionistic fuzzy transportation problem into a balanced fully intuitionistic fuzzy transportation problem. Soft Comput 24, 15639–15654 (2020). https://doi.org/10.1007/s00500-020-04889-6

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  • DOI: https://doi.org/10.1007/s00500-020-04889-6

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