Under
the interval-valued intuitionistic fuzzy information environment, with respect
to the multiple attribute group decision making problem in which the attribute
weights are completely unknown, based on the bi-direction projection weights
model, a novel multi-attribute group decision making (MAGDM) method is
developed. First, the idea alternative and critical alternative are obtained in
accordance with collection decision making matrix provided by decision makers,
and the correlation coefficient and projection length are determined on the
basis of projection formula. Then, with the principle of maximization and
minimization of objective functions, a multi-objective optimization model is
constructed to get the attribute weights. Finally, the
bi-direction
projection optimization model of attribute weight vector is investigated,
the ranking order based on the improved VIKOR and TOPSIS is obtained, and a
numerical example about the logistics transportation partner selection is
provided to illustrate the effectiveness of the developed method.