基于TOPSIS模型的机场网络节点重要度评估

在机场网络中单个机场节点的失效往往会对其他的节点产生影响,特别是关键节点的失效会波及整个网络.准确客观的识别重要节点机场关乎整个机场网络的安全运营.本文分析了机场网络拓扑特性中的度、集聚系数和接近度指标,考虑了机场旅客吞吐量和所在城市人口等交通经济特性指标,使用熵权法确定权重的基础上,应用TOPSIS法构建综合评价体系模型,最后以华东地区机场网络为例进行节点重要度排序.结果表明与单一指标的评估结果相比,该方法更加全面客观的确定不同属性指标的权重,避免了不同指标取值的差异性,使评价更加全面,更符合机场网络实际运营情况.     

对使用主成分进行绩效指标值排名的讨论

对《基于数据的Goodgrant基金最优投资策略》一文使用主成分分析进行综合评价,对候选学校绩效指标值排名进行了探讨。首先,综合前人研究与本题实际,指出使用主成分分析进行综合评价存在的争议与不足;然后,分别建立TOPSIS模型和综合评价模型对候选学校的绩效指标值进行排名,并对不同方法得到的结果进行对比。结果表明,TOPSIS模型和综合评价模型得到的排名具有高度一致性,前50名重合率达98%,而与主成分分析综合评价的重合率仅有6%,说明使用TOPSIS等传统评价模型对候选学校绩效指标值进行排名更合适。     

Extension of the TOPSIS method for decision making problems under interval-valued intuitionistic fuzzy environment

TOPSIS is one of the well-known methods for multiple attribute decision making (MADM). In this paper, we extend the TOPSIS method to solve multiple attribute group decision making (MAGDM) problems in interval-valued intuitionistic fuzzy environment in which all the preference information provided by the decision-makers is presented as interval-valued intuitionistic fuzzy decision matrices where each of the elements is characterized by interval-valued intuitionistic fuzzy number (IVIFNs), and the information about attribute weights is partially known. First, we use the interval-valued intuitionistic fuzzy hybrid geometric (IIFHG) operator to aggregate all individual interval-valued intuitionistic fuzzy decision matrices provided by the decision-makers into the collective interval-valued intuitionistic fuzzy decision matrix, and then we use the score function to calculate the score of each attribute value and construct the score matrix of the collective interval-valued intuitionistic fuzzy decision matrix. From the score matrix and the given attribute weight information, we establish an optimization model to determine the weights of attributes, and construct the weighted collective interval-valued intuitionistic fuzzy decision matrix, and then determine the interval-valued intuitionistic positive-ideal solution and interval-valued intuitionistic negative-ideal solution. Based on different distance definitions, we calculate the relative closeness of each alternative to the interval-valued intuitionistic positive-ideal solution and rank the alternatives according to the relative closeness to the interval-valued intuitionistic positive-ideal solution and select the most desirable one(s). Finally, an example is used to illustrate the applicability of the proposed approach.     

改进的TOPSIS决策方法在供应商选择中的应用

运用马氏距离替代欧式距离改进传统的TOPSIS方法,解决当属性间存在线性相关时欧式距离失效的缺陷;充分考虑对立集合并引入联系向量距离,解决可能存在的方案距离正理想解和负理想解距离都近的缺陷.然后通过决策者偏好系数将马氏距离和联系向量距离所得结果合成新的相对贴近度,从而同时克服传统TOPSIS方法的以上两个缺陷.最后通过供应商选择的实例来验证方法的有效性.     

旅游路线规划问题

对旅游爱好者游遍201个5A级景点的旅行方案进行研究.首先,建立以总的旅游时间达到最小的0-1数学规划模型,利用枚举法将景点划分成若干类,并将其视为TSP问题,用蚁群算法得出常住地为西安的旅游者游遍所有景点至少需要的时间和最优路线;其次,考虑了费用最小,旅游体验最好的因素,建立多目标规划模型,通过模糊隶属度函数的构造,将多目标规划模型进行线性加权组合转化为单目标规划问题进行求解.还引入TOPSIS模型,对常住地在北京的自驾游爱好者提供了一个简要版旅游计划.最后,用因子分析和灰关联分析相结合的方法遴选了相应5A级和4A级旅游景区,并给出该旅游爱好者合理的十年旅游规划.     

线路方案比选多目标决策分析

本文通过对线路方案比选的多目标决策分析，建立了线路方案比选的 ＴＯＰＳＩＳ模型，对线路方案非劣解集进行排序，提供方案的优先顺序．     

Incremental analysis for MCDM with an application to group TOPSIS

The study aims to exploit incremental analysis or marginal analysis to overcome the drawbacks of ratio scales utilized in various multi-criteria or multi-attribute decision making (MCDM/MADM) techniques. In the proposed 11-step procedure, multiple criteria of alternatives are first reorganized as two categories – benefits and costs – and decision information will be manipulated separately. The performances of alternatives are then evaluated on their incremental benefit–cost ratio, and the rank can be obtained by applying the group TOPSIS (technique for order preference by similarity to ideal solution) model (Shih et al., 2007). Two representations of cost, i.e., a cost index and utility index, are proposed in the model to better-fit real-world situations. In addition, some considerations on costs and input–output relations are also discussed in order to understand the essentials of incremental analysis. In the final part, a case of robot selection demonstrates the suggested model to be both robust and efficient in a group decision-making environment.     

基于空间视角下产业协同集聚对区域创新的影响

选取2009-2018年中国30个省(市、自治区)的数据,运用区位商相对差异指数和熵权TOPSIS法分别测算其产业协同集聚度和区域创新水平,研究二三产业协同集聚对区域创新的影响.研究表明:产业集聚通过"知识技术、劳动力、物力"等外部规模经济增加创新产出;2009-2018年,两产业协同集聚水平由中西部向东部递减,区域创新水平东部明显高于中西部,空间溢出效应显著;两产业协同集聚对创新的影响呈现"倒U型"特征;最后基于计量结果提出相关建议.     

一种基于相关系数矩阵的TOPSIS决策方法

在多属性决策分析中,传统的TOPSIS法是基于欧氏距离来计算各方案到正负理想点的距离,但欧氏距离没有考虑各属性之间的相关性;从这一角度出发,将相关系数矩阵与欧式距离结合,从而弥补了欧氏距离的不足,最后进行了实例分析.     

基于灰色关联度—TOPSIS的县域经济社会发展综合评价研究

选择经济发展,社会发展,资源、生态环境三个层面,构建了体现科学发展观要求的县域经济社会发展综合评价指标体系.用客观赋权的熵值法确定各指标权重,结合灰色关联度和TOPSIS建立了综合评价模型,并对烟台市8个县市的经济社会发展状况进行实证分析.