不完全信息下的区间直觉模糊数的多属性决策方法

针对属性权重信息不完全的区间直觉模糊的多属性决策问题,提出灰色关联分析的决策方法.该方法首先确定各属性下的最佳和最劣方案,确定各方案与理想方案的灰色关联系数,然后在属性权重信息不完全的情况下,建立基于理想点的最优决策模型,求出属性权重,进而根据与理想方案的相对贴近度对各方案进行排序,最后用实例对该方法进行了说明,理论分析和数据结果表明了方法的可行性和有效性.

A Multi-Criteria Decision-Making Method for Interval-Valued Intuitionistic Fuzzy Sets with Incomplete Attribute Weights

The GRA method of interval-valued intuitionistic fuzzy is proposed aiming at solving Multi-criteria decision-making problem, in which the information on attribute weights are unknown completely. At first, the positive ideal points and negative ideal points of every criteria are selected, and the grey relational  coefficient between alternatives and ideal points are calculated respectively. Next,  optimization models based on ideal points are established to obtain attribute weights. Then, the weights are utilized to select the most desirable alternatives. Finally, a numerical example is given to illustrate application of the GRA method. The numerical results show that the proposed methods are feasible and effective.