Fuzzy Systems

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Transportation Problem with Triangular Intuitionistic Fuzzy Numbers Solved Using Ranking Technique and Russell’s Method


Affiliations
1 Department of Mathematics, Providence College for Women, Coonoor, India
2 Department of Mathematics, Providence College for Women, Coonoor, India
     

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The aim of this paper is to find the optimal solution of the transportation problem. We consider the transportation problem in an Intuitionistic fuzzy environment. Here the costs are represented as triangular Intuitionistic fuzzy (TIFN) numbers. The problem is solved using a Ranking technique called Accuracy Function and Russell’s Method.

An illustrative example is given to verify this approach.


Keywords

Intuitionistic Fuzzy Set (IFS), Intuitionistic Fuzzy Number (TFN), Triangular Intuitionistic Fuzzy Number (TIFN), Accuracy Function.
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  • Transportation Problem with Triangular Intuitionistic Fuzzy Numbers Solved Using Ranking Technique and Russell’s Method

Abstract Views: 256  |  PDF Views: 1

Authors

M. S. Annie Christi
Department of Mathematics, Providence College for Women, Coonoor, India
B. Kasthuri
Department of Mathematics, Providence College for Women, Coonoor, India

Abstract


The aim of this paper is to find the optimal solution of the transportation problem. We consider the transportation problem in an Intuitionistic fuzzy environment. Here the costs are represented as triangular Intuitionistic fuzzy (TIFN) numbers. The problem is solved using a Ranking technique called Accuracy Function and Russell’s Method.

An illustrative example is given to verify this approach.


Keywords


Intuitionistic Fuzzy Set (IFS), Intuitionistic Fuzzy Number (TFN), Triangular Intuitionistic Fuzzy Number (TIFN), Accuracy Function.