基于直觉模糊集和证据理论的群决策方法.pdf

第27卷第5期 Vol. 27 No. 5 控制与决策 Control and Decision 2012年5月 May. 2012 基于直觉模糊集和证据理论的群决策方法文章编号:1001-0920 (2012) 05-0752-05 江红莉,何建敏,庄亚明,张岳峰(东南大学经济管理学院,南京211189) 摘 要:针对属性值和权重均为直觉模糊数的多属性决策问题,提出一种基于直觉模糊集和证据理论的群决策方法. 首先,对专家给出的每个方案的属性值和属性权重进行证据合成,在此基础上合成每个方案的所有属性值;然后,基于直觉模糊集相似度确定专家的相对权重,修正方案证据,并合成所有专家证据,得到方案的信任区间,根据信任区间的大小对方案进行排序;最后,通过数值案例验证了所提出方法的有效性和合理性. 关键词:直觉模糊集;证据理论;直觉模糊集相似度;群决策中图分类号:C93 文献标识码:A Approach to group decision making based on intuitionistic fuzzy sets and evidence theory JIANG Hong-li, HE Jian-min, ZHUANG Ya-ming, ZHANG Yue-feng (School of Economics &Management,Southeast University,Nanjing 211189,:JIANG Hong-li, E-mail:jhl20052008@) Abstract:::With respect to the problem of multiple attribute decision-making, in which the attribute values and weights are given in terms of intuitionistic fuzzy numbers, an approach to group decision making based on intuitionistic fuzzy sets and evidence theory is proposed. Firstly, attribute values and weights bined by using the rule of bination, and all of attribute values considering weights bined for every alternative. Secondly, the relative weights of experts are veri?ed by calculating the similarity of intuitionistic fuzzy sets, the basic probability assignment is adjusted by experts’ weights, and the belief intervals of alternatives are gained bining all experts’ evidences. Then, the ranking of alternatives is gaine