基于信任关系的TODIM群体多属性决策方法

针对现有多属性群体决策方法较少考虑社会网络和决策者有限理性因素的影响,考虑到社会网络中的信任关系,提出了基于信任关系的TODIM(TOmada de decis?o interativa multicritério)群体多属性决策方法.根据决策专家之间的信任关系,计算出信任网络中的领导者、信任关系矩阵以及评价矩阵等.专...     

基于残缺互补判断矩阵的交互式群决策方法

研究基于残缺互补判断矩阵的群决策问题.首先利用残缺互补判断矩阵的积型一致性,将每个残缺互补判断矩阵拓展为完整的互补判断矩阵(简称拓展互补判断矩阵),并将所有个体拓展互补判断矩阵集成为群体互补判断矩阵;然后基于群体互补判断矩阵与个体拓展互补判断矩阵之间的偏离阈值同决策者进行交互,使得决策者的意见尽可能协调一致;最后给出一种基于残缺互补判断矩阵的交互式群决策方法,并进行了算例分析.     

社会网络环境下基于公众行为大数据属性挖掘的大群体应急决策方法及应用

针对社会网络环境下复杂大群体应急决策中决策属性信息难以获得问题,提出社会网络环境下公众行为大数据驱动的大群体应急决策方法.首先,通过挖掘社交平台上的公众行为大数据,利用TF-IDF、Word2vec技术进行关键词提取、聚类及其影响力分析,从大量行为数据中挖掘大群体决策属性信息以辅助专家决策,使决策结果具有更高的科学性和有效性;其次,构建决策者间基于信任关系和观点相似度的社会网络,采用同时考虑信任和相似度的聚类方法对决策者进行聚类,并基于社会网络分析获得决策者权重;然后,提出基于决策者间信任关系的共识调整方法进行共识调整以获得最终群体决策矩阵和方案排序,通过引入决策者客观自信度避免个别决策者过分自信行为的影响;最后,通过一个新冠疫情案例分析说明方法的可行性和有效性.     

专家交互情境下不完备群组DEMATEL决策方法

为克服现有群组DEMATEL存在的尚未考虑群组专家之间的信息交互、对于不完备专家判断信息的推断机理不明确等缺陷,基于社交网络中的信任关系理论和凝聚层次聚类理论,通过给出不完备群组DEMATEL初始直接影响矩阵残缺值的推断方法和专家交互情境下群组DEMATEL直接影响矩阵信息修正方法,提出专家交互情境下不完备群组DEMATEL决策方法的实现步骤.最后,通过算例对比分析反映出通过专家多轮次交互,群组专家之间的共识度以及决策结果的可靠性持续提升,从而验证了所提出方法的科学性和可行性.     

一种基于区间数判断矩阵的加权AlP群决策方法

针对决策过程中区间数更适合表达决策者对候选方案的偏好程度,基于区间数判断矩阵,综合考虑决策者个体权重,扩展“和积法”,应用“相对熵”的概念,提出了一种加权个体方案权重集结的群体决策方法．该方法将中间结果转化为实数型再进行集结,避免了决策者判断信息的丢失．最后,通过算例说明了该方法的可行性和有效性．     

基于相对熵的残缺语言判断矩阵群排序方法

针对残缺语言判断矩阵的群决策问题,提出一种基于相对熵的群排序方法。首先,定义一种用于识别残缺语言判断矩阵可接受的残缺度指标;其次,将残缺语言型偏好转化成残缺数值型偏好,根据相对熵与加性一致性算法,构建决策者对方案排序向量的最优模型;再次,通过构建接近度熵权与相似度熵权指标,对决策者权重进行动态调整,得到稳定的决策者权重,进而得出群体排序向量;最后,通过应用算例进行验证,以表明所提出的方法是可行的。     

社会网络视角下允许弃权的群决策权力分布

针对群体决策的权力分布问题,考虑决策规则与网络效应的双重影响,研究社会网络视角下权力的分析方法.通过分析社会网络的结构、测度节点间的影响程度构建群体的影响网络,以影响网络为基础对允许弃权的Banzhaf指数进行拓展,提出网络决策权力的概念及测定方法,并对其性质及影响因素进行分析.结果表明:处于网络中心的个体,会因拥有更多“规则”以外的权力而成为关键决策者;而“规则权力”较高的个体,可能会因处于边缘位置而成为决策中的“弱者”.所提出的决策权力考虑了决策个体对结果的直接及间接影响,并提供一种准确反映决策成员贡献程度、识别关键决策者的方法.     

一种基于区间数判断矩阵的加权AIP群决策方法

针对决策过程中区间数更适合表达决策者对候选方案的偏好程度,基于区间数判断矩阵,综合考虑决策者个体权重,扩展“和积法”,应用“相对熵”的概念,提出了一种加权个体方案权重集结的群体决策方法．该方法将中间结果转化为实数型再进行集结,避免了决策者判断信息的丢失．最后,通过算例说明了该方法的可行性和有效性．

     

基于信任关系和互补判断矩阵的群决策方法

随着信息和网络技术的不断发展,基于社会网络的群决策问题受到越来越多研究者的关注.针对社会网络环境下模糊互补判断矩阵的群决策问题,研究群体共识调整过程和方案选择方法.首先,融合决策者之间的社会关系、身份地位、知识能力3个方面信息来构建决策者两两之间的信任关系;其次,提出一种尽可能减少元素间共识补偿的共识度度量方法,在此基础上建立基于信任关系的共识调整模型,并从理论上证明该模型的有效性;最后通过信任关系矩阵的特征向量中心度分别求出专家的重要性权重,用以集结专家的偏好信息和对方案进行排序选择,算例分析表明了所提出方法的有效性.     

一种基于前景理论的三参数区间灰数型群体灰靶决策方法

考虑决策者关于指标满意域和风险态度对群体决策的影响, 提出基于前景理论的三参数区间灰数型群体灰靶决策方法. 该方法利用“奖优罚劣”的三参数区间灰数线性变换算子对原始决策信息进行规范化处理, 能够充分反映决策值是否中靶. 在此基础上, 以规范化区间的零点作为参考点, 定义前景价值函数. 依据群体一致性和极大熵原理构建决策者权重模型, 根据综合前景值的正负判断方案是否中靶. 最后, 通过实例表明了所提出方法的有效性和优越性.     

Group decision making based on multiple types of linguistic preference relations

In this paper, we investigate group decision making problems with multiple types of linguistic preference relations. The paper has two parts with similar structures. In the first part, we transform the uncertain additive linguistic preference relations into the expected additive linguistic preference relations, and present a procedure for group decision making based on multiple types of additive linguistic preference relations. By using the deviation measures between additive linguistic preference relations, we give some straightforward formulas to determine the weights of decision makers, and propose a method to reach consensus among the individual preferences and the group’s opinion. In the second part, we extend the above results to group decision making based on multiple types of multiplicative linguistic preference relations, and finally, a practical example is given to illustrate the application of the results.     

Pythagorean linguistic preference relations and their applications to group decision making using group recommendations based on consistency matrices and feedback mechanism

In this paper, we introduce a new type of fuzzy set, called Pythagorean linguistic sets (PLSs), to address the preferred and nonpreferred degrees of linguistic variables. Moreover, it allows decision makers to offer effectively handle uncertain information more flexible than intuitionistic linguistic sets (ILSs) when one compares two alternatives in the process of decision making. Some of the fundamental operational laws, score, accuracy, and aggregation operators are defined, and their properties are investigated. Preference relation (PR) is a useful and efficient tool for decision making that only requires the decision makers to compare two alternatives at one time. Taking the advantages of PLSs and PRs, this paper also introduces Pythagorean linguistic preference relations (PLPRs) and studies their application. We propose an approach for group decision making using group recommendations based on consistency matrices and feedback mechanism. First, the proposed method constructs the collective consistency matrix, the weight collective PRs, and the group collective PRs. Then, it constructs a consensus relation for each expert and determines the group consensus degree (GCD) for all experts. If the GCD is smaller than a predefined threshold value, then a feedback mechanism is activated to update the PLPRs. Finally, after the GCD is greater than or equal to the predefined threshold value, we calculate the arithmetic mathematical average values of the updated group collective PR to select the most appropriate alternative.     

Group decision making with linguistic preference relations with application to supplier selection

Linguistic preference relation is a useful tool for expressing preferences of decision makers in group decision making according to linguistic scales. But in the real decision problems, there usually exist interactive phenomena among the preference of decision makers, which makes it difficult to aggregate preference information by conventional additive aggregation operators. Thus, to approximate the human subjective preference evaluation process, it would be more suitable to apply non-additive measures tool without assuming additivity and independence. In this paper, based on λ-fuzzy measure, we consider dependence among subjective preference of decision makers to develop some new linguistic aggregation operators such as linguistic ordered geometric averaging operator and extended linguistic Choquet integral operator to aggregate the multiplicative linguistic preference relations and additive linguistic preference relations, respectively. Further, the procedure and algorithm of group decision making based on these new linguistic aggregation operators and linguistic preference relations are given. Finally, a supplier selection example is provided to illustrate the developed approaches.     

Fuzzy m-ary adjacency relations in social network analysis: Optimization and consensus evaluation

The main contribution of this paper consists in extending the ‘soft’ consensus paradigm of fuzzy group decision making developed under the framework of numerical fuzzy preferences. We address the problem of consensus evaluation by endogenously computing the importance of the decision makers in terms of their influence strength in the network. To this aim, we start from centrality measure and combine it with the fuzzy m-ary adjacency relation approach. In this way, we introduce a flexible consensus measure that takes into account the influence strength of the decision makers according to their eigenvector centrality. Moreover, we propose an optimization problem which determines the maximum number of the most important decision makers that share a fixed desirable consensus level.     

A fuzzy group decision making model with trapezoidal fuzzy preference relations based on compatibility measure and COWGA operator

This paper proposes a fuzzy group decision-making model based on a logarithm compatibility measure with multiplicative trapezoidal fuzzy preference relations (MTFPRs) based on a continuous ordered weighted geometric averaging (COWGA) operator. New concepts are presented to measure deviation between MTFPR and its expected fuzzy preference relation. Then, an iterative algorithm is developed to help individual MTFPR reach acceptable compatibility. To determine the weights of decision makers, an optimal model is constructed using group logarithm compatibility index COWGA operator. Finally, we illustrate an example to show how it works and compare it with the existing methods. The main advantages of the proposed approach are the following: (1) The COWGA operator makes decision making more flexible; (2) an iterative and convergent algorithm is proposed to improve the compatibility of MTFPR; (3) decision makers’ weights in group decision making are determined by an optimal model based on a logarithm compatibility measure.     

Optimal consensus models for group decision making under linguistic preference relations

This paper proposes an optimal consensus model to derive weights for linguistic preference relations (LPRs). Two indexes, an individual‐to‐group consensus index (ICI) and a collective consensus index (CCI), are introduced. An iterative algorithm is presented to describe the consensus reaching process. By changing the weights and modifying a pair of individuals' comparison judgments—which have largest deviation value to the group judgments—the consensus reaching process can terminate, while both ICI and CCI are controlled with predefined thresholds. The algorithm aims to preserve the decision makers’ original information as much as possible. The model and algorithm are then extended to handle the uncertain additive LPRs. Finally, two examples are given to show the effectiveness of the proposed methods.     

权重信息完全未知的二维二元语义多属性群决策方法

针对群决策问题中专家权重和属性权重均未知的情形,提出一种基于二维二元语义表示模型的多属性群决策方法.首先,考虑到不同决策者对二维二元语义信息中第一维信息和第二维信息的相对重要性比重不同,提出一种能够反映出该比重变化对于二维二元语义间比较和距离测度影响的得分函数和距离公式;其次,利用得分函数和距离公式建立目标函数,依据专家意见的熵值确立约束条件,进而构建能够同时求解出专家权重和属性权重的双权重求解模型,再分别针对不同的方案依次进行求解,得到每一个方案假定为最优方案时相应的权重信息;再次,按照所提出的新方法,综合目标函数值的大小对方案进行排序与择优;最后,通过案例分析与对比验证所提方法的有效性和科学性.     

An attitude-driven web consensus support system for heterogeneous group decision making

Consensus reaching processes are applied in group decision making problems to reach a mutual agreement among a group of decision makers before making a common decision. Different consensus models have been developed to facilitate consensus reaching processes. However, new trends bring diverse challenges in group decision making, such as the modelling of different types of information and of large groups of decision makers, together with their attitude to achieve agreements. These challenges require the capacity to deal with heterogenous frameworks, and the automation of consensus reaching processes by means of consensus support systems. In this paper, we propose a consensus model in which decision makers can express their opinions by using different types of information, capable of dealing with large groups of decision makers. The model incorporates the management of the group’s attitude towards consensus by means of an extension of OWA aggregation operators aimed to optimize the overall consensus process. Eventually, a novel Web-based consensus support system that automates the proposed consensus model is presented.