共查询到20条相似文献,搜索用时 22 毫秒
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Multiple criteria group decision making (MCGDM) problems have become a very active research field over the last decade. Many practical problems are often characterized by MCGDM. The aim of this paper is to develop a new approach for MCGDM problems with incomplete weight information in linguistic setting based on the projection method. Firstly, to reflect the reality accurately, a method to determine the weights of decision makers in linguistic setting is proposed by calculating the degree of similarity between 2-tuple linguistic decision matrix given by each decision maker and the average 2-tuple linguistic decision matrix. By using the weights of decision makers, all individual 2-tuple linguistic decision matrices are aggregated into a collective one. Then, to determine the weight vector of criteria, we establish a non-linear optimization model based on the basic ideal of the projection method, i.e., the optimal alternative should have the largest projection on the 2-tuple linguistic positive ideal solution (TLPIS). Calculate the 2-tuple linguistic projection of each alternative on the TLPIS and rank all the alternatives according to the 2-tuple linguistic projection value. Finally, an illustrative example is given to demonstrate the calculation process of the proposed method, and the validity is verified by comparing the evaluation results of the proposed method with that of the technique for order preference by similarity to ideal solution (TOPSIS) method. 相似文献
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This paper presents a new fuzzy multicriteria decision making (MCDM) approach for evaluating decision alternatives involving subjective judgements made by a group of decision makers. A pairwise comparison process is used to help individual decision makers make comparative judgements, and a linguistic rating method is used for making absolute judgements. A hierarchical weighting method is developed to assess the weights of a large number of evaluation criteria by pairwise comparisons. To reflect the inherent imprecision of subjective judgements, individual assessments are aggregated as a group assessment using triangular fuzzy numbers. To obtain a cardinal preference value for each decision alternative, a new fuzzy MCDM algorithm is developed by extending the concept of the degree of optimality to incorporate criteria weights in the distance measurement. An empirical study of aircraft selection is presented to illustrate the effectiveness of the approach. 相似文献
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针对群决策中基于不同粒度语言判断矩阵形式偏好信息的群体一致性问题,提出了一种分析方法。首先,给出有关不同粒度语言判断矩阵和二元语义等若干定义,通过转换函数将不同粒度语言判断矩阵一致化为由二元语义表示的判断矩阵;然后,通过定义专家与群偏好的偏差矩阵以及各专家的总体偏差指标,给出了专家群体一致性的判别方法及专家群体判断不一致的调整方法;最后,通过一个算例说明了该方法的有效性。 相似文献
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Fanyong Meng Qingxian An Xiaohong Chen 《The Journal of the Operational Research Society》2016,67(11):1419-1437
Preference relations are a powerful tool to address decision-making problems. In some situations, because of the complexity of decision-making problems and the inherent uncertainty, the decision makers cannot express their preferences by using numerical values. Interval linguistic preference relations, which are more reliable and informative for the decision-makers’ preferences, are a good choice to cope with this issue. Just as with the other types of preference relations, the consistency and consensus analysis is very importance to ensure the reasonable ranking order by using interval linguistic preference relations. Considering this situation, this paper introduces a consistency concept for interval linguistic preference relations. To measure the consistency of interval linguistic preference relations, a consistency measure is defined. Then, a consistency-based programming model is built, by which the consistent linguistic preference relations with respect to each object can be obtained. To cope with the inconsistency case, two models for deriving the adjusted consistent linguistic preference relations are constructed. Then, a consistency-based programming model to estimate the missing values is built. After that, we present a group consensus index and present some of its desirable properties. Furthermore, a group consensus-based model to determine the weights of the decision makers with respect to each object is established. Finally, an approach to group decision making with interval linguistic preference relations is developed, which is based on the consistency and consensus analysis. Meanwhile, the associated numerical examples are offered to illustrate the application of the procedure. 相似文献
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Zeshui Xu 《Fuzzy Optimization and Decision Making》2010,9(3):333-357
Incomplete fuzzy preference relations, incomplete multiplicative preference relations, and incomplete linguistic preference
relations are very useful to express decision makers’ incomplete preferences over attributes or alternatives in the process
of decision making under fuzzy environments. The aim of this paper is to investigate fuzzy multiple attribute group decision
making problems where the attribute values are represented in intuitionistic fuzzy numbers and the information on attribute
weights is provided by decision makers by means of one or some of the different preference structures, including weak ranking,
strict ranking, difference ranking, multiple ranking, interval numbers, incomplete fuzzy preference relations, incomplete
multiplicative preference relations, and incomplete linguistic preference relations. We transform all individual intuitionistic
fuzzy decision matrices into the interval decision matrices and construct their expected decision matrices, and then aggregate
all these expected decision matrices into a collective one. We establish an integrated model by unifying the collective decision
matrix and all the given different structures of incomplete weight preference information, and develop an integrated model-based
approach to interacting with the decision makers so as to adjust all the inconsistent incomplete fuzzy preference relations,
inconsistent incomplete linguistic preference relations and inconsistent incomplete multiplicative preference relations into
the ones with acceptable consistency. The developed approach can derive the attribute weights and the ranking of the alternatives
directly from the integrated model, and thus it has the following prominent characteristics: (1) it does not need to construct
the complete fuzzy preference relations, complete linguistic preference relations and complete multiplicative preference relations
from the incomplete fuzzy preference relations, incomplete linguistic preference relations and incomplete multiplicative preference
relations, respectively; (2) it does not need to unify the different structures of incomplete preferences, and thus can simplify
the calculation and avoid distorting the given preference information; and (3) it can sufficiently reflect and adjust the
subjective desirability of decision makers in the process of interaction. A practical example is also provided to illustrate
the developed approach. 相似文献
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针对不确定加型语言偏好信息下的群决策问题,提出一种基于累积共识贡献的自适应式语言共识决策方法。首先,将不确定加型语言偏好转化为不确定二元语义偏好,定义个体一致度与个体共识偏度,并利用它们构建确定专家初始权重的优化模型;然后,利用不确定二元语义的可能度构造集结模糊评价矩阵以及方案的集结群体偏好,提出专家累积共识贡献测度和群体共识测度,通过对拥有较少合作的专家权重进行惩罚让群体自适应地达成共识,无需强迫专家修改其观点,提出一种群体共识决策方法对方案排序择优。最后,通过一个算例说明方法的可行性和有效性。 相似文献
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《Applied Mathematical Modelling》2014,38(21-22):5256-5268
A new method is proposed to solve multiple criteria group decision making (MCGDM) problems, in which both the criteria values and criteria weights take the form of linguistic information, and the information about linguistic criteria weights is partly known or completely unknown. Firstly, to get reasonable decision result, instead of assigning the same weight to the decision maker (DM) for all criteria, we propose a method to determine the weight of DM with respect to each criterion under linguistic environment by calculating the similarity degree between individual 2-tuple linguistic evaluation value and the mean given by all decision makers (DMs). Secondly, for the situations where the information about the criteria weights is partly known or completely unknown, we establish optimization models to determine the criteria weights by defining 2-tuple linguistic positive ideal solution (TL-PIS), 2-tuple linguistic right negative ideal solution (TL-RNIS) and 2-tuple linguistic left negative ideal solution (TL-LNIS) of the collective 2-tuple linguistic decision matrix. Thirdly, we propose a new method to solve MCGDM problems with partly known or completely unknown linguistic weight information. Finally, an illustrative example is given to demonstrate the calculation process of the proposed method. 相似文献
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针对在重大突发事件应急决策大数据环境下决策者偏好的不确定性及偏离群体一致性导致的风险,提出一种基于UGC大数据挖掘的大群体两阶段风险性应急决策方法。首先,通过数据挖掘和自然语言处理方法从UGC中获取公众对事件的偏好信息并构建应急决策属性体系,利用TF-IDF方法结合专家评估信息确定属性权重;其次,建立一个意见开放式的两阶段决策流程,提出依据决策者意见的可靠度和准确度量化决策风险,利用聚类方法得到相应的成员权重,并使用TOPSIS法对决策方案进行排序。最后通过天津港“8·12”重大爆炸事故的案例分析和对比验证了所提出方法的可行性和有效性。 相似文献
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语言判断矩阵的相容性和一致性研究 总被引:1,自引:0,他引:1
语言判断矩阵是决策者常给的一种偏好信息形式.提出了新的语言判断矩阵的导出矩阵、相容性和一致性等概念,在此基础上给出了基于不同粒度的语言判断矩阵的相容性的充要条件,探讨语言判断矩阵的满意一致性以及完全一致性和其导出矩阵之间的关系. 相似文献
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群体对某方案的满意度识别算法是群决策研究的热点问题.文中考虑了决策者对方案评价意见难以量化的实际情况,在语言判断矩阵研究的基础上,提出了该偏好的偏离度方差指标,建立了群体对某方案的满意度识别算法,通过实际算例证实了该算法是有效的. 相似文献
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黑启动作为电力体系安全防御和事故后快速恢复措施之一,对其路径的评估是黑启动辅助决策的一个重要组成部分。本文将一种利用最小叉熵准则集成组合权重的思想运用到黑启动方案评估上。首先利用可变熵模型,在克服了经典熵权法权重分配差别过大、权重无法体现评价矩阵微小变化等问题的基础上,依据各指标客观数据信息的差异得到可变熵权重;接着又尝试性引入决策者效用函数,将原始属性评价矩阵转换为带有决策者主观偏好的判断矩阵,结合Kullback-Leibler距离模型得出带有决策者意愿的偏好权重,再根据最小叉熵准则,对可变熵权重以及偏好权重进行集成,求得指标综合权重。最后利用VIKOR法对方案间关系进行细致分析,得到最优方案。采用天津电网黑启动数据进行了验证,验证结果表明了所提方法的有效性。 相似文献
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本文针对不确定语言信息的群决策问题,提出了一种解决多粒度不确定二元语义语言信息集结与决策的新方法。首先,根据各专家不确定语言短语决策信息,通过相关转化规则,量化为与其对应的二元语义区间数,并将其端点映射到二维坐标系中。其次,运用植物模拟生长算法(PGSA)求出各区间数端点坐标的加权Steiner点(专家群体最优结集点,即群体共识点)。其后,再由最优集结点,给出专家最优集结判断矩阵。从而,可以对决策方案的进行排序,以便给出最优群体决策方案。为了验证此方法的合理性和有效性,本文选择了两个其他学者的研究算例,对其进行了平行的算例研究。最终得到了与其相同的研究结果。 相似文献
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针对大群体应急决策专家之间信任关系及其传递引发的决策风险,以及由于大群体中个体偏好差异较大导致生成独立聚集等问题。首先,提出一个“信任—知识模型”对决策专家之间的信任关系进行集成和传递,并根据决策专家的信任风险偏好得出决策专家之间的信任知识度网络;其次,利用Louvain算法对信任知识度网络进行聚类,高效快速的获得若干个聚集,并用社会网络分析技术确定每个决策者和聚集的权重;然后对每个聚集中的决策者偏好进行集结,并综合决策者给出的信息对备选决策方案进行排序。最后,通过案例分析和对比验证了所提方法的合理性与有效性。 相似文献
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基于OWGA算子的偏好信息集结法及其在群决策中的应用 总被引:4,自引:0,他引:4
研究了决策者的偏好信息以不同形式给出的群决策问题。首先,利用不同偏好信息之间的转换公式,将偏好次序型、效用值型、互反判断矩阵型三种偏好信息一致化为模糊互补判断矩阵型的偏好信息;其次。利用加权几何平均(OWGA)算子对一致化后的决策信息进行集结。再对方案的加权几何平均优势度进行综合集结,并以此进行方案的排序,提出了基于OWGA算子的群决策方法,该方法具有操作简便和计算量少的特点。最后。通过实例说明方法的可行性和实用性。 相似文献
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Zhongliang Yue 《Applied Mathematical Modelling》2013,37(1-2):112-126
Owing to the increasing complexity in various management, aggregating experts’ knowledge and experiences to make an appropriate decision is an important research area. However, with aggregation of information in decision process, some information may be lost. The aim of this paper is to present a systematic methodology avoiding information loss for group decision making. An extended TOPSIS method is twice used to the current method, which is first used to determine the weights of decision makers, and second used to rank the preference order of alternatives. The proposed approach is straightforward and has no aggregation of information. A comparison of proposed method with other methods is also done. Finally, a numerical example for supplier selection is given to illustrate the application of the introduced method. 相似文献