Authors : Prakash R. Chavan and Vishwas C. Salagare
Page Nos : 01-06
Description :
The A.P. (Assignment Problem) originates from the basic classical problems where the objective is to find the optimum assignment of a number of tasks to an equal number of workers at a minimum time or minimum cost. The several objective assignment problems refer to vector minimum linear programming problems with a special class. Optimization under a fuzzy environment is called fuzzy optimization. Fuzzy several objective linear programming is one of the most frequently applied in fuzzy decision making techniques. Although, it has been investigated and expanded for more than decades by many statisticians and engineers and from the varies point of view, it is still useful to develop new model in order to better result the real world problems within framework of fuzzy several objective linear programming. Fuzzy several objective linear programming problems have its vast applications and scope in the field of new science, technology and engineering. In this paper, assignment problem in which both technical coefficient and available resources are fuzzy with linear and non-linear membership functions was studied and a real approach was proposed to solve the above problem using the techniques proposed by various engineers. In this paper, we use a special type of linear and non-linear membership functions to solve the several objective assignment problems. It gives an optimal compromise solution. The result is compared with linear membership function with non-linear membership functions. Numerical example has been taken to illustrate the solution procedure.
