Method for Solving Fuzzy Assignment Problem using ones Assignment Method and Robust’s Ranking Technique

In this paper Ones Assignment Method is adopted to solve Fuzzy Assignment Problem (FAP). In this problem , i j C denotes the cost for assigning the n jobs to the n workers and , i j C has been considered to be triangular and trapezoidal 5608 A. Srinivasan and G. Geetharamani number denoted by , i j C% 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 fuzzy assignment problem is formulated to the crisp assignment problem in the linear programming problem (LPP) form and solved by using Ones Assignment Method [1] and using Robust’s ranking method [4] for the fuzzy numbers. Numerical examples show that the fuzzy ranking method offers and effective tool for handling the fuzzy assignment problem (FAP) with imprecise render and requirement condition. The algorithm of this approach is presented, and explained briefly with numerical instance to show its efficiency.