2010 Volume 22 Issue 3 Pages 396-403
In this paper, we focus on hierarchical multiobjective linear programming problems where multiple decision makers in a hierarchical organization have their own multiple objective linear functions together with common linear constraints, and propose an interactive fuzzy decision making method to obtain the satisfactory solution which reflects not only the hierarchical relationships between multiple decision makers but also their own preferences for their membership functions. In the proposed method, instead of Pareto optimal concept, the generalized Λ-extreme point concept is introduced, which is defined in membership space. In order to obtain the satisfactory solution from among a generalized Λ-extreme point set, an interactive algorithm based on linear programming is proposed, and interactive processes are demonstrated by means of an illustrative numerical example.
