An interactive algorithm for large scale multiple objective programming problems with fuzzy parameters through TOPSIS approach

In this paper, we extend technique for order preference by similarity ideal solution (TOPSIS) for solving large scale multiple objective programming problems involving fuzzy parameters, These fuzzy parameters are characterized as fuzzy numbers. For such problems, the alpha-Pareto optimality is introduced by extending the ordinary Pareto optimality on the basis of the alpha-level sets of fuzzy numbers. An interactive fuzzy decision making algorithm for generating alpha-Pareto optimal solution through TOPSIS approach is provided where the decision maker (DM) is asked to specify the degree alpha and the relative importance of objectives. Finally, a numerical example is given to clarify the main results developed in the paper. (c) 2005 Elsevier Inc. All rights reserved.