Solution of fuzzy multi objective generalised assignment problem

Abstract

In this paper, multi objective generalised assignment problem (MOGAP) with fuzzy parameters has been solved using three different approaches. Here, we consider three objective functions which are to be minimised. In the first approach, weighted sum method has been used and the problem is converted into a single objective one and then solved by extremum difference method (EDM) to get the optimal assignment. In the second one, modified fuzzy programming technique (MFPT) has been used for the same problem. Application of linear and exponential membership functions give comparative results with the goal that the better alternative can be obtained. The third one describes multi objective genetic algorithm (MOGA) to find the solution surface and the Pareto optimal front including the optimal assignment. The methods are demonstrated by a suitable numerical example.