关键词: 多属性群决策, 区间直觉梯形模糊数, 平均决策矩阵, 灰关联投影

Abstract: With respect to multi-attribute group decision making problem with interval-valued intuitionistic trapezoidal fuzzy assessment information, a grey relation-projection method is proposed. On?the?basis?of standardized decision?matrixes, negative extreme decision matrix and average decision matrix are defined according to the distance between every decision matrix and two types of decision matrices, decision maker weights are determined. Group decision matrix is determined based on decision-maker weights and interval-valued intuitionistic trapezoidal fuzzy number weighted arithmetic averaging operator. Basing on the minimization of relative?similarity?degree between each alternative and the positive （or negative） ideal alternative to get attribute weights, the positive ideal alternative is seen as the reference sequence, grey relational coefficient of attributes between each alternative and positive ideal alternative, grey relation-projection of every attributes to positive ideal alternative. A ranking of alternatives is determined by projected?values of the alternatives. Finally, the selection decision problem of air conditioning system of frozen storage is given to illustrate the effectiveness and feasibility of the proposed method.

Key words: multiple attribute group decision making, interval-valued intuitionistic trapezoidal fuzzy number, average decision matrix, grey relation projection