一种基于残缺语言判断矩阵的群决策模型

研究了偏好信息为残缺语言判断矩阵的群决策问题。通过创建一个转换公式,将加性语言判断矩阵转化为互补判断矩阵,探讨了判断矩阵转换的一致性;应用转换公式将专家个体的加性残缺语言判断矩阵转化为残缺互补判断矩阵,并利用残缺互补判断矩阵排序向量的和行归一法,求出专家个体的排序向量;根据专家个体的排序向量,通过建立并求解一个非线性规划模型,得到专家群组的排序向量,从而实现备选方案的排序和择优。通过算例说明了方法的可行性与有效性.     

一种基于多粒度语言偏好矩阵的多属性群决策方法

针对决策专家以多粒度语言偏好矩阵形式给出偏好信息的多属性群决策问题,提出一种基于二元语义一致化的多属性群决策方法.首先,构建一个基本语言偏好集作为多粒度语言一致化的参考集合;然后,采用基于二元语义的一致化处理方法将不同粒度的语言偏好信息均统一转化为相同粒度的二元语义形式,再通过二元语义的相关集结算子,对各决策专家给出的偏好信息进行集结并进行方案优选,得到满意结果;最后,通过算例说明了该方法的有效性.     

一种基于多粒度语言偏好矩阵的多属性群决策方法

针对决策专家以多粒度语言偏好矩阵形式给出偏好信息的多属性群决策问题,提出一种基于二元语义一致化的多属性群决策方法.首先,构建一个基本语言偏好集作为多粒度语言一致化的参考集合;然后,采用基于二元语义的一致化处理方法将不同粒度的语言偏好信息均统一转化为相同粒度的二元语义形式,再通过二元语义的相关集结算子,对各决策专家给出的偏好信息进行集结并进行方案优选,得到满意结果;最后,通过算例说明了该方法的有效性.

     

基于多种偏好信息的物流方案评估方法

为了有效地反映物流方案评价中评价信息的模糊性,提出了基于多种偏好信息的物流方案评估方法。决策者采用各自偏好的信息形式对物流方案进行评价;利用转换函数将多种形式的偏好信息一致化为模糊互补判断矩阵,应用行和归一化方法计算排序向量,从而将决策成员的权重集结并获得物流方案的初始优先度;合成初始优先度与各项评价相应的修正系数,并通过规范化处理得到物流方案的优先度。通过一个实例验证所提方法。     

基于犹豫度和相似度的专家权重确定方法及其应用

针对属性评价值为语言变量、专家权重未知的供应商选择决策问题,提出一种综合考虑评价犹豫度和相似度的专家权重确定方法.首先,根据专家评价的犹豫度差别改进语言变量转化标准,将语言变量转换为更符合决策实际的直觉模糊数;然后,从评价信息的犹豫度和相似度两个方面集成专家权重,得到集结后的综合评价矩阵;最后,运用逼近理想解排序法(TOPSIS)对供应商进行排序,通过算例验证所提方法的可行性和有效性.敏感性分析及对比分析结果表明,决策者对专家评价确定性和一致性的不同偏好会影响最终的决策结果,当专家因认知局限和个人偏好对属性评价的犹豫度存在差别时,采用考虑犹豫度差别的语言变量转化方法能够降低评价信息不确定性对评价结果产生的不合理影响,有利于提高评价结果的可信度.     

基于可加一致性的不完全偏好信息估算方法

针对基于方案对比较的不完全模糊偏好信息的方案优选群决策问题,通过引入模糊偏好关系中的可加一致性概念,提出了一种估算评估专家缺失的偏好信息的迭代估算方法。该方法仅仅依赖专家在可加一致性基础上提供的信息,而不用考虑其他专家的信息,因而估算出来的偏好信息能够与专家原始偏好信息保持良好的一致性,从而提高了估算结果的可信度。最后给出了一个算例。     

基于改进TOPSIS方法的人体面部皮肤养护决策研究*

基于人体皮肤状态,提出相适应的护肤方案,是皮肤领域亟待解决的问题。本文采用专家评分法、标准离差法及熵权法融合主客观信息优化面部皮肤各部位权重,较全面地获取皮肤属性值;将被测试对象的护肤偏好与专家的方案-属性特征评价信息相结合,构建目标-方案-属性层次模型,实现个性偏好与理性推荐下的多属性权值调整;依据实测数据,采用多属性权值对TOPSIS法进行改进,通过计算各方案与正负理想方案之间的加权距离,实现护肤方案的优劣排序。最后,通过一个应用实例以及与现有的两种决策方法的对比分析验证了本方法的可行性与有效性。     

基于RD-SVM的肿瘤信息基因选择算法

为了从高维、小样本的基因表达数据中有效地选择特征基因,消除与肿瘤分类无关的数据,提出一种随机矩阵替换与支持向量机的肿瘤信息基因选择算法(RD-SVM)。首先构建多组0/1随机向量表示的信息基因子集,并以支持向量机构建分类器评价每组子集的优劣,然后考虑各特征之间的相互作用,以0、1替换策略对基因子集评估,并找到最优基因子集,最后采用5个肿瘤信息基因表达谱数据对算法性能进行测试。结果表明,相对于参比算法,RD-SVM算法不仅提高了肿瘤信息基因的识别精度,同时所选信息基因最少。     

基于概率信息不完备的群决策模型

针对犹豫模糊元中元素发生的概率信息不完备的群决策问题,提出一种基于最优化模型和一致性调整算法的群决策模型。该模型首先引入了概率不完备犹豫模糊偏好关系（PIHFPR）、概率不完备犹豫模糊偏好关系的期望一致性以及概率不完备犹豫模糊偏好关系的满意加性期望一致性等概念;其次,以PIHFPR和排序权重向量间的偏差最小化作为目标函数,构建线性最优化模型计算得到PIHFPR中不完备的概率信息;随后,通过提出的加权概率不完备犹豫模糊偏好关系集成算子确定综合的PIHFPR,同时设计一种群体一致性调整算法,不仅使得调整后的PIHFPR具有满意加性期望一致性,还可以计算方案的排序权重。最后,将群决策模型应用于区块链的选择实例中。实验结果表明,决策结果合理可靠,且更能反映实际决策情况。     

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.     

Group prioritisation with unknown expert weights in incomplete linguistic context

In this paper, we study a group prioritisation problem in situations when the expert weights are completely unknown and their judgement preferences are linguistic and incomplete. Starting from the theory of relative entropy (RE) and multiplicative consistency, an optimisation model is provided for deriving an individual priority vector without estimating the missing value(s) of an incomplete linguistic preference relation. In order to address the unknown expert weights in the group aggregating process, we define two new kinds of expert weight indicators based on RE: proximity entropy weight and similarity entropy weight. Furthermore, a dynamic-adjusting algorithm (DAA) is proposed to obtain an objective expert weight vector and capture the dynamic properties involved in it. Unlike the extant literature of group prioritisation, the proposed RE approach does not require pre-allocation of expert weights and can solve incomplete preference relations. An interesting finding is that once all the experts express their preference relations, the final expert weight vector derived from the DAA is fixed irrespective of the initial settings of expert weights. Finally, an application example is conducted to validate the effectiveness and robustness of the RE approach.     

A maximizing consensus approach for alternative selection based on uncertain linguistic preference relations

In alternative selection problems managed by multiple experts in uncertain situations achieving consensus is a desirable objective as incorrect selection may adversely affect stakeholder outcomes. This paper develops an approach to solve consensus problems when expert preference information is in the form of uncertain linguistic preference relations. First, definitions for aggregation operators and group consensus level based on a 2-tuple linguistic representation model are provided. Then, in order to obtain the weights of the experts under the assumption of incomplete weights information, an optimization model is developed which seeks maximum consensus from the current expert preferences in the group. If the consensus level reached does not meet predefined requirements, a consensus reaching algorithm is presented which can automatically achieve the goal. To determine the parameters for the proposed algorithm, a simulation procedure is presented. Finally, an investment company optimal selection example is provided to show the properties of the proposed approach. A comparative study and discussion of the proposed approach are also conducted.     

基于改进向量相似度的区间数动态多指标决策模型及应用

针对决策信息为区间数的不确定性动态决策问题,在属性权重和时间权重未知的情况下,基于改进向量相似度的方法,构建一种兼顾决策信息和决策偏好的动态多指标决策模型.利用区间型决策信息的相对相似性和属性重要度,构造相对相似度最小规划模型以确定指标权重;在综合考虑决策信息时间价值、决策者偏好的基础上,构建极大熵模型以确定时间权重;结合向量相似度计算存在的缺陷,提出一种基于向量投影思想的向量综合相似度测度方法,从而建立不确性动态决策模型,并通过实例分析检验该模型的合理性和有效性.     

On group decision making with four formats of incomplete preference relations

In this paper, a new approach is proposed to solve group decision making (GDM) problems where the preference information on alternatives provided by decision makers (DMs) is represented in four formats of incomplete preference relations, i.e., incomplete multiplicative preference relations, incomplete fuzzy preference relations, incomplete additive linguistic preference relations, incomplete multiplicative linguistic preference relations. In order to make the collective opinion close each decision maker’s opinion as near as possible, an optimization model is constructed to integrate the four different formats of incomplete preference relations and to compute the collective ranking values of the alternatives. The ranking of alternatives or selection of the most desirable alternative(s) is directly obtained from the derived collective ranking values. A numerical example is also used to illustrate the applicability of the proposed approach.     

Consensus reaching models of linguistic preference relations based on distance functions

In group decision making (GDM) using linguistic preference relations to obtain the maximum degree of agreement, it is desirable to develop a consensus process prior to the selection process. This paper proposes two consensus models with linguistic information to support the GDM consensus reaching process. Two different distance functions between linguistic preference relations are introduced to measure both individual consistency and group consensus. Based on these measures, the consensus reaching models are developed. The two models presented have the same concept that the expert whose preference is farthest from the group preference needs to update their opinion according to the group preference relation. In addition, the convergence of the models is proved. After achieving the predefined consensus level, each expert’s consistency indexes are still acceptable under the condition that the initial preference relations are of satisfactory consistency. Finally, an example is given to show the effectiveness of the models and to verify the theoretical results.     

Group decision making with incomplete fuzzy linguistic preference relations

The aim of this paper is to propose a procedure to estimate missing preference values when dealing with incomplete fuzzy linguistic preference relations assessed using a two‐tuple fuzzy linguistic approach. This procedure attempts to estimate the missing information in an individual incomplete fuzzy linguistic preference relation using only the preference values provided by the respective expert. It is guided by the additive consistency property to maintain experts' consistency levels. Additionally, we present a selection process of alternatives in group decision making with incomplete fuzzy linguistic preference relations and analyze the use of our estimation procedure in the decision process. © 2008 Wiley Periodicals, Inc.     

犹豫模糊环境下准则具有偏好关系的TODIM方法

针对智慧制造评估时专家的决策信息具有犹豫模糊不确定性问题，提出了一种关于准则具有犹豫模糊偏好关系的改进交互式多准则决策（TODIM）方法。首先提出了准则间的犹豫模糊偏好关系概念，并证明了其基本性质。在TODIM方法优势度的计算过程中，将准则权重犹豫模糊偏好关系替代原有的精确值权重，使信息的准确性最大化。将该方法用于智能制造的评估上，实例分析结果表明所提方法是可行和有效的。     

An optimization method for integrating two kinds of preference information in group decision-making

The purpose of this paper is to study a group decision-making (GDM) problem in which the preference information about the alternative provided by the decision makers can be of a diverse nature. A new method is presented to deal with the GDM problem with two different formats of preference information on alternatives: fuzzy preference relations and multiplicative preference relations. A two-objective optimization model is constructed to integrate the two formats of preference relations and compute the ranking values of alternatives. Using this method, the ranking of alternatives or selection of the most desirable alternatives is directly done based on the obtained ranking values. A numerical example is also used to illustrate the use of the proposed method.     

融合显隐式反馈的协同过滤推荐模型

融合显式和隐式反馈已被应用于提升推荐模型的性能,但是,现有的此类推荐模型未能保留显式反馈中反映用户偏好程度的信息,且现有研究认为拥有显式反馈的数据和仅拥有隐式反馈的数据对于模型具有同等影响,未能充分发挥显式反馈的优势.针对这些问题,提出一种新的融合显式和隐式反馈的协同过滤推荐模型(CEICF).首先,所提出模型提取显式反馈中的特征得到用户/物品的全局偏好向量;然后,从隐式反馈中提取用户/物品的潜在向量,进而将两种向量进行融合得到用户/物品的偏好向量;最后,使用神经网络预测用户与物品交互的可能性.在训练模型时,定义一种加权的二进制交叉熵损失函数,加强显式反馈对模型的影响来增强模型捕获用户偏好的能力.为了验证所提出模型的有效性,在覆盖不同领域的现实数据集上进行实验,实验结果表明,CEICF可有效地融合显式和隐式反馈,且推荐效果相对于基线模型有显著提升.     

考虑时间序列的动态大群体应急决策方法

针对专家权重和属性权重未知、阶段权重未知且与时间序列有关的动态大群体应急决策问题,提出一种考虑时间序列的动态大群体应急决策方法.首先,提出一个考虑区间直觉模糊数犹豫度的距离公式,定义区间直觉模糊数贴近度,综合考虑贴近度和相似度,用模糊聚类法对大群体专家偏好信息进行聚类;其次,基于现有区间直觉模糊熵公式的不足,提出一个新的区间直觉模糊熵公式,基于此公式考虑专家之间知识水平的差异和各个阶段偏好信息不具遗传性等特点,计算得出专家在不同属性下的权重和属性在各阶段下的权重;再次,考虑时间序列对各阶段权重的影响,构建相对熵模型,对阶段权重进行合理确定,进而利用加权平均算子得到整个决策过程中各方案的综合决策偏好;然后,利用区间直觉模糊数的得分函数和精确函数对方案进行排序,选出最优方案;最后,通过与以往文献的方法对比分析验证所提出方法的有效性和优越性.