A group decision making fuzzy AHP model and its application to a plant location selection problem

The major shortcoming of conventional fuzzy AHP methods is not the requirement of repeated extension principal processes or tedious arithmetic computations, but the ignorance of the interactions both among fuzzy variables and decision-makers. Besides, within a group decision making fuzzy AHP problem, traditional fuzzy AHP methods cannot adequately tackle group conflicting judgment. The study proposes a goal programming model capable of directly treating the interactions among both fuzzy values and decision-makers. With the trade-off consideration of optimizing decision makers\´ group consensus and individual desirability or opinion, the extracted corresponding priority vector not only reflects the preferred information from. the pairwise comparison values for a set of objects under group decision making, but also "best" reflect what a majority of the involved individuals prefer and is progressively less sensitive to realizations of the group conflicting judgment. A plant location selection problem is employed to demonstrate the effectiveness and practicability of this study