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A New Approach for Solution to a Fuzzy Assignment Problem


Affiliations
1 Department of Mathematics, SRM University, Kattangulathur, India
2 C. Kandaswamy Naidu College for Men, Anna Nagar, India
     

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Assignment problem is a well known topic and is used very often in solving problems of engineering and management sciences. If the cost is not deterministic, then the problem is said to be assignment problem with fuzzy costs. We propose new method based on branch and bound technique to solve the fuzzy assignment problem branch and bound technique is used to solve the travelling salesman problem. Compared with the efficient of existing methods we find that ours is more efficient. Finally to shoe the efficiency of the proposed method we solve two numerical examples.

Keywords

Fuzzy Numbers, Fuzzy Ranking, Branch and Bound Technique.
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  • A New Approach for Solution to a Fuzzy Assignment Problem

Abstract Views: 438  |  PDF Views: 2

Authors

S. Dhanasekar
Department of Mathematics, SRM University, Kattangulathur, India
P. Sekar
C. Kandaswamy Naidu College for Men, Anna Nagar, India

Abstract


Assignment problem is a well known topic and is used very often in solving problems of engineering and management sciences. If the cost is not deterministic, then the problem is said to be assignment problem with fuzzy costs. We propose new method based on branch and bound technique to solve the fuzzy assignment problem branch and bound technique is used to solve the travelling salesman problem. Compared with the efficient of existing methods we find that ours is more efficient. Finally to shoe the efficiency of the proposed method we solve two numerical examples.

Keywords


Fuzzy Numbers, Fuzzy Ranking, Branch and Bound Technique.