基于粗糙集的犹豫模糊多属性决策方法  

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

作　　者：朱丽[1,2] 朱传喜[1] 张小芝[1] 

机构地区：[1]南昌大学理学院,南昌330031 [2]江西农业大学理学院,南昌330045

出　　处：《控制与决策》2014年第7期1335-1339,共5页Control and Decision

基　　金：国家自然科学基金项目(11071108;11361042);江西省自然科学基金项目(2010GZS0147;20132BAB201001);江西省研究生创新专项资金项目(YC2012-B004)

摘　　要：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.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.

关 键 词：犹豫模糊集 粗糙集 理想点 贴近度 

分 类 号：C934[经济管理—管理学]