基于粗糙集的犹豫模糊多属性决策方法

针对属性值为犹豫模糊元的决策问题,提出一种基于粗糙集理论的多属性决策方法.首先,依据属性值与理想点的贴近度和给定的阀值得到判断矩阵;然后,根据判断矩阵对属性集进行约简,确定属性权重;最后,基于TOPSIS思想,计算各方案与理想点的综合贴近度,得到方案的优劣次序,并通过算例分析表明了该方法的有效性.

Method for hesitant fuzzy multi-attribute decision making based on rough sets

A decision method based on rough sets is proposed for multi-attribute decision making, in which the attribute values are in the form of hesitant fuzzy elements. Firstly, the discernibility matrix is acquired according to the given threshold and the similarity degree between attribute values and ideal points. Then, the attribute reduction is operated and the weight of core attribute is determined by the discernibility matrix. Finally, the weighted similarity degree of every alternative with ideal points is displayed to rank all the alternatives. An example is given to illustrate the effectiveness of the proposed method.