• Mehar approach for solving dual-hesitant fuzzy transportation problem with restrictions

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      https://www.ias.ac.in/article/fulltext/sadh/045/0077

    • Keywords

       

      Dual-hesitant fuzzy set; transportation problems; score function

    • Abstract

       

      Recently, a new type of transportation problems (named as dual-hesitant fuzzy transportation problem) as well as an approach to find the optimal solution of dual-hesitant fuzzy transportation problems have been proposed in the literature. In this paper, some dual-hesitant fuzzy transportation problems are considered toshow that the existing approach is inappropriate as (i) The existing approach fails to find the optimal solution of dual-hesitant fuzzy transportation problems. (ii) On applying the existing approach different optimal transportation costs are obtained corresponding to alternative optimal solutions. Also, to resolve the inappropriateness of the existing approach, a new expression (named as Mehar score function) is proposed to transform a dualhesitant fuzzy set into a real number. Furthermore, a new approach (named as Mehar approach), based upon the proposed Mehar score function, is proposed to find the optimal solution of dual-hesitant fuzzy transportation problems

    • Author Affiliations

       

      AMIT KUMAR1 S S APPADOO2 PARMPREET KAUR3

      1. School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, India
      2. Department Supply Chain Management, University of Manitoba, Winnipeg, MB R3T5V4, Canada
      3. PG Department of Mathematics, GSSDGS Khalsa College, Patiala 147001, India
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