Study on Inverse Problem Based on the Group Decision of Fuzzy Sets

群决策是现代决策科学的一个重要组成部分，它的理论和方法在工程、设计、经济、管理和军事等诸多领域中有着广泛的应用。在群决策过程中，由于客观事物的复杂性、不确定性以及人类思维的模糊性，需要处理大量不确定的数据。一般而言，决策专家对评价准则的判断包含着大量的不确定的信息，反映了专家的主观倾向和个人偏好。而在群决策过程中，决策专家的评判水平直接影响到群决策的结果。因此，对群决策中决策专家的评判水平进行逆判的研究具有重要的理论和现实意义。 本文首先介绍了模糊数学和群决策逆判问题的基础知识；然后基于直觉评价矩阵的群决策逆判问题进行了研究，提出了一种新的直觉模糊集上的相似度公式；接着介绍了区间直觉模糊集的...As an important component of the modern decision-making science,group decision making is widely used in many fields such as engineering design、economic、management and military etc. During the process of decision making,owing to the vaguenes and uncertainty of the objective things, large quantity of uncertain data need to be processed.generally speaking,Decision-making criteria for evaluating exper...学位：工学硕士院系专业：信息科学与技术学院自动化系_系统工程学号：2322006115257

基于直觉模糊集的群体决策中的逆判问题的研究

研究基于直觉模糊评判矩阵的群决策逆判问题。给出一种新的直觉模糊集上的相似度公式,并提出与决策群体意见整体相似性程度最高的“理想“直觉模糊评判矩阵的构造优化方法,利用该评价矩阵来评价专家的评判水平。最后,通过一个算例说明该方法的有效性

Group decision and adverse judgment approach based on interval-valued intuitionistic judgment matrices

文章对区间直觉判断矩阵进行研究,定义了区间直觉判断矩阵及其距离测度与相似性测度新概念,详细研究它们的性质.基于区间直觉平均算子等集成工具,建立了一种基于区间直觉模糊集模型的群决策途径,并根据群决策结果逆判评判专家的水平.最后通过具体实例证明该方法的有效性.Interval-valued intuitionistic judgment matrices are investigated in this paper.Interva-valued intuitionistic judgment matrix and its distance measure,similarity measure are defined.Some of their desirable properties are investigated in detail.Based on the interval-valued intuitionistic fuzzy sets model,an approach to group decision making is proposed by using intuitionistic average operator and the experts' level is judged adversely by the results of the group decision.Finally,a practical example is provided to verify the effectiveness of the proposed approach.四川省教育厅自然科学基金项目(12ZB002);阿坝师专校级科研基金资助项目(ASB12-22