区间型多属性决策的心态指标法

Method of attitude index for interval multi-attribute decision-making

针对决策者偏好信息和属性值均为区间数的多属性决策问题,提出一种新的决策方法.该方法将区间型决策矩阵转化为带心态指标的决策矩阵,通过求解主、客观偏好的总绝对偏差最小与各方案综合属性值差距最大的双目标规划问题,客观地确定了属性的权重,从而给出各方案的排序结果.当决策者处于不同心态时,可以通过调整其心态指标来进行决策,因而更加符合实际.应用实例表明了该方法的有效性和实用性.

For the problem of multi-attribute decision-making, in which the attribute values and the preference information are in the form of interval numbers, a new method is proposed. The interval decision matrix is transformed into the decision matrix with index of attitude. After solving the two objects programming of minimizing the total absolute deviation between the subjective and objective preference and maximizing the ranges of the comprehensive attribute values of alternatives, the weights of the attributes are obtained objectively. The priorities are given by the comprehensive attribute value of each alternative. When the decision maker is in different moods, the decision can be made by adjusting the index of attitude. The illustrative example shows the effectiveness and practicability of the proposed method.