考虑属性权重优化的犹豫模糊多属性决策方法

Hesitant fuzzy multiple attribute decision making method based on optimization of attribute weights

针对属性权重完全未知的犹豫模糊多属性决策问题,提出一种属性权重多目标优化方法.首先,根据属性值的均值、方差以及属性间的关联度建立属性权重确定模型;然后,利用方案与犹豫模糊正理想点的相似度对方案进行排序;最后,通过算例分析表明了所提出方法的有效性和可行性.

An approach based on multi-objective optimization of attribute weights is proposed to deal with the hesitant fuzzy multiple attribute decision making problem with attribute weights completely unknown. Firstly, the mean and variance for attribute values, and the correlation coefficients between attributes are computed. An optimization model is constructed to determine the attribute weights. Then, the similarity degree between each alternative and the hesitant fuzzy positive ideal point is obtained to rank the alternatives. Finally, a numerical example is given to illustrate the effectiveness and feasibility of the proposed method.