Ranking of intuitionistic fuzzy numbers is an engrossing and very difficult task among the several researchers. The present studies introduce a new ranking method for intuitionistic fuzzy numbers (IFN) by using the concept of distance minimizer between two intuitionistic fuzzy numbers, with the help of their defined membership and non-membership functions. The proposed ranking method for intuitionistic fuzzy numbers satisfies the general axioms of ranking functions. Further, we have applied the developed ranking method to solve fully intuitionistic fuzzy transportation problems in which cost, supplies and requirements all are in term of intuitionistic fuzzy numbers. The developed method has been illustrated by an example, and the result obtained by the proposed method shows a superior performance compared with some existing methods available in the literature.
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The authors are very thankful to the editor and the anonymous reviewers for their constructive suggestions to improve the quality of this work.
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Nishad, A.K., Abhishekh A New Ranking Approach for Solving Fully Fuzzy Transportation Problem in Intuitionistic Fuzzy Environment. J Control Autom Electr Syst 31, 900–911 (2020). https://doi.org/10.1007/s40313-020-00611-x
- Triangular intuitionistic fuzzy numbers (TIFNs)
- Membership and non-membership function
- Ranking function
- Fully intuitionistic fuzzy transportation problem (FIFTP)