基于新直觉模糊距离的随机决策方法

针对指标权重未知，方案的指标值为直觉模糊数的随机直觉模糊决策问题，提出了一种基于前景理论和新的直觉模糊距离的随机决策方法. 首先提出一种新的直觉模糊相似度公式，在此基础上构建了一种以直觉模糊数形式表征的直觉模糊距离公式以减少在运算中信息的丢失，运用直觉模糊熵方法确定指标权重，通过前景理论对方案进行对比和排序.最后，算例分析说明了该方法的合理性和可行性.

Stochastic multi-criteria decision-making methods based on new intuitionistic fuzzy distance

For the stochastic multi-criteria decision-making problem, in which the information on criteria's weights is incomplete and the indices value of alternatives are in the form of intuitionistic fuzzy numbers, an intuitionistic fuzzy stochastic decision-making approach based on prospect theory and a new intuitionistic fuzzy distance formula is proposed. First, a new intuitionistic fuzzy similarity degree fomula was proposesd and a new intuitionistic fuzzy distance definition and formula expressed by intuitionistic fuzzy number was put forward to reduce the information miss in the calculation. Then, the weight of attributes was obtained by utilizing entropy for intuitionistic fuzzy sets. The best alternative was got by using prospect theory. Finally, an example showed the feasibility and validity of this method.