www.ijera.com 359 | P a g e Method for Solving Unbalanced Assignment Problems Using Triangular Fuzzy Numbers

In this paper, we proposed the fuzzy salesman and areas by Hungarian unbalanced assignment problems. In this problems denotes the cost for assigning the salesman to the areas. The cost is usually deterministic in nature. In this paper has been considered to be triangular and trapezoidal numbers denoted by which are more realistic and general in nature. For finding the optimal assignment, we must optimize total cost this problem assignment. In this paper first the proposed balanced assignment problem and it is formulated to the crisp assignment problem in the linear programming problem form and solved by using Hungarian method and using Robust’s ranking method (3) for the fuzzy numbers. Numerical examples show that the fuzzy ranking method offers an effective tool for handling the fuzzy unbalanced assignment problem