关键词: 群决策, 区间数, 属性权重, 专家权重, 可能度

Abstract: The paper mainly researches the multi-attribute group decision making with the preference information in the form of interval number and unknown objective weights of attributes and decision makers, and proposes the comprehensive weights of attributes can be calculated by combining the subjective weights and the objective ones. The objective weights are obtained by the methods of entropy analysis of the deviation degree in the attributes assessment values and establishing the nonlinear programming model of minimal goal. Based on the determining of decision makers’ objective weights, which are obtained by analyzing the consistency between each decision maker’s comprehensive evaluation and group decision makers’ comprehensive evaluation using the gray correlation method, the stable weights of decision makers can be obtained after the adaptive iterative process. A new formula of possibility degree for the interval number comparison is proposed. Based on this formula, the method for dealing with the ranking problems of alternatives is presented. The proposed method is proved to be feasible and effective by the case analysis and comparison with other method. Finally, the influence of related parameters on the decision result is analyzed.

Key words: group decision making, interval number, attributes&rsquo, weights, decision makers&rsquo, weights, probability degree