SOLVING ASSIGNMENT PROBLEM IN FUZZY ENVIRONMENT BY USING ROBUST RANKING TECHNIQUE

Abstract

Assignment problem is a magnificent subject and is engaged all the time in solving problems of engineering and management science. In this paper, we proposed a new ranking procedure to find the optimal solution. The optimal solution is totally based on the ranking procedure. The costs of values are considered as triangular fuzzy numbers. Ranking fuzzy numbers plays a huge role in decision making under fuzzy environment. This ranking technique is most reliable method, simple to apply and can be used for all types of assignment problems. Our idea is to convert the fuzzy values into crisp values by applying Robust Ranking Technique. We apply the crisp values in the assignment problem. Then the optimal solution of fuzzy assignment problem is obtained by using Fuzzy Hungarian Method. From the numerical examples it is obvious that the proposed ranking measure is easy to calculate and cost-effective for a fuzzy assignment problem and provides much more optimal value.