多人决策的一类相对均衡解

本文分析由于决策人偏好不同而引起决策差异的多人多目标决策问题，提出了这类决策问题的一类相对均衡解的概念和求取方法。相对均衡解以决策群体偏好的加权集结为基础，能最大程度地反映每个决策人的偏好。文中研究相对均衡解的ＳＷＴ求取方法，并给出了求解的步骤。     

一类具有冲突的有限方案多人多目标决策模型及其应用

具有冲突的有限方案的多人多目标决策问题是现实生活中的常见现象，提出一类求解这一问题的模型。先以两阶段满意规划法求得理想协调解，再将其作为标准状态模式，由模糊识别模型选择决策方案，思路简明，更适应于实际问题。最后将其应用于水库防洪调度的多人多目标问题，表明了方法的可行性。     

基于粗集理论的多属性决策分析

针对多人多属性决策问题中多个决策者对同一类对象决策结果不一致的问题,通过对多属性群决策问题的描述,首次提出将不同决策者的不一致决策对象进行合并分析,得到更加直观明确的规则.对规则集进行构成分析,从而解释决策者之间的冲突所在.     

多人多级递阶多目标决策的鼓励性策略及其应用研究

本文研究了三人二级递阶多目标决策问题。利用可诱导区的概念和多目标决策技术,对这一问题解的结构给予了完整的描述,提出了一种鼓励性策略.並将其推广应用于求解一般的多人多级递阶多目标决策问题。文中给出了数值例子,並对该策略在教育、经济系统中的应用进行了有益的探讨。     

基于D-S证据理论的多属性多人决策方法及其应用

针对多人多属性决策问题,提出了一种新的基于DS证据理论的方法。该方法综合考虑了多个决策者的主观偏好,并将主观信息与客观信息进行集成。最后,给出一个应用实例和计算结果。     

决策分析引论(讲座)——据哈佛大学何毓琦(Y.C.Ho)教授的讲稿整理

四 基本决策问题在一,二讲中,已从实例中提出决策问题,并建立了理性行为公理,在此公理基础上,给出非正式的求解过程。这一节将正式叙述基本决策问题的提法,给出最优决策的几何解释。为了改进对主观概率的估计,将引进观测空间和试验空间,并进一步讨论了信息的价值。     

一种基于对象-语言值决策矩阵的模糊语言TOPSIS决策方法

模糊语言决策方法是决策领域的热点研究内容之一.比较现有模糊语言决策方法研究中广泛使用的决策矩阵,提出对象-语言值决策矩阵表示决策专家根据决策属性给出的评价语言信息,分析对象-语言值决策矩阵在区分明晰、部分未知及犹豫的模糊语言决策问题中的优势;借鉴经典TOPSIS决策方法及向量运算,给出基于对象-语言值决策矩阵的正负理想解确定方法以及备选对象与正负理想解的伪距离和贴近度计算方法,分析伪距离和贴近度的相关性质;基于2-元组语言表示模型,提出基于对象-语言值决策矩阵的模糊语言TOPSIS决策方法.通过实例分析,并与已有3种重要的模糊语言决策方法进行比较,比较结果说明所提出的决策方法可以克服已有决策方法的不足, 是一种可选的模糊语言决策方法.     

多目标决策的激励策略可行解

针对多目标决策问题,提出一种新的基于一般变权原理的求解方法.利用一般变权原理提出激励策略可行解,证明其为多目标决策的均衡有效解,并给出求激励策略可行解的步骤.通过实际算例表明,所提出算法正确有效,且相对于线性加权和法、平方加权和法而言,具有较好的均衡性.     

基于属性圆的多属性决策云模型构建与可靠性分析应用

为了使云模型能直观方便地表示以及计算多属性决策问题,并且适应专家给出的范围数据,对提出的属性圆表示多属性的方法进行了改造,从而通过属性圆来计算云模型的特征参数;给出了改造后属性圆的定义、性质和绘制过程,以及如何通过属性圆计算表示某决策级别的云模型特征参数,包括:定义决策系统、属性归一化、属性圆特征及性质、属性圆面积求法、基于属性圆的云模型计算;通过实例给出了云模型的计算过程和应用方案。根据数据处理和专家分析,计算得到表示系统可靠性风险为可接受决策级别的云模型,进而构成决策云集合,便可用于实际系统的可靠性级别多属性决策。     

多信道无线通信功率分配的最优化决策

研究了基于有损Gilbert-Elliott信道的多信道无线通信功率分配的最优化决策问题,利用部分可观测的马尔可夫决策过程（POMDP）和数学语言建立并描述理论模型,提出了具有一般性的功率分配方案,并给出问题的最优决策的各项性质和特征。在三维信道的通信系统上,进一步给出最优决策的空间结构,利用线性规划仿真验证了其正确性,并分析了最优决策随信道转移概率的变化趋势。     

A distance-based group decision-making methodology for multi-person multi-criteria emergency decision support

In this paper, a distance-based group decision-making (GDM) methodology is proposed to solve unconventional multi-person multi-criteria emergency decision-making problems. In this model, some decision-makers are first identified to formulate a group decision-making framework. Then a standard multi-criteria decision-making (MCDM) process is performed on specific decision-making problems and different decision results are obtained from different decision-makers. Finally, these different decision results are aggregated into a group consensus to support the final decision-making. For illustration and verification purposes, a numerical example and a practical unconventional emergency decision case are presented. Experimental results obtained demonstrate that the proposed distance-based multi-criteria GDM methodology can improve decision-making objectivity and emergency management effectiveness.     

非常规突发事件应急决策冲突消解协调方法

针对应急决策冲突性特点和难以形成高一致性决策方案的问题,分析了应急群体决策冲突产生的原因,构建了应急决策冲突消解协调框架,提出了应急决策群体冲突测度方法,以及应急决策冲突消解模型和方法,形成了非常规突发事件应急决策冲突消解协调机制,使应急群决策冲突逐渐收敛以获得冲突程度足够低的应急决策方案。最后通过算例分析验证了冲突消解协调方法和机制的有效性。     

A new distance measure for interval valued intuitionistic fuzzy sets and its application to group decision making problems with incomplete weights information

The aim of this study is to introduce a novel generalized distance measure for interval valued intuitionistic fuzzy sets and to illustrate the applicability of the proposed distance measure to group decision making problems. Firstly, a generalized distance measure is proposed along with proofs satisfying its axioms. Then, a comparison between the proposed distance measure and well-known distance measures is performed in terms of counter-intuitive cases. Subsequently, the extension of TOPSIS method, in which the proposed distance measure is used to calculate separation measures, to an interval valued intuitionistic fuzzy (IVIF) environment is demonstrated to solve multi-criteria group decision making (MCGDM) problems using optimal criteria weights determined with linear programming model based on the concept of maximizing relative closeness coefficient. Finally, two illustrative examples are provided for proof-of-concept purposes and to demonstrate benefits of using the proposed distance measure over the existing ones in IVIF TOPSIS method for MCGDM problems.     

A De Novo multi-approaches multi-criteria decision making technique with an application in performance evaluation of material handling device

Application of multiple conventional approaches to a particular multi-criteria decision making (MCDM) problem often suffers rank reversal giving rise to confusion and ambiguity in appropriate decision making. To eradicate the confusion, this paper proposes a De Novo multi-approaches multi-criteria decision making method namely Technique of Precise Order Preference (TPOP). The TPOP first examines the inconsistency in the ranking order of the alternatives of a MCDM problem by using multiple conventional approaches. If inconsistency/rank reversal in ranking order of the alternatives exists then TPOP, using advanced version of entropy weighting method introduced in this research work, measures weights of the final selection values of conventional approaches. Subsequently, TPOP based on these weights and final selection values computes precise selection indices (PSI) that determines accurate ranking order for the alternatives. The proposed technique is illustrated by two real life examples on material handling device (MHD) ranking and selection problems. The first example is initially solved using five conventional integrated fuzzy multi-criteria decision making techniques (FMCDMs) whereas the second example is taken from previous researchers’ works. The results obtained using TPOP justify the validity, applicability and requirements of the proposed technique. The study shows that the proposed multi-approaches, multi-criteria decision making technique can be a useful and effective model in MCDM.     

不完备系统多准则决策的云PDR方法

针对多准则决策问题的意义以及经典粗糙集方法在不完备系统方案排序问题中的不足,在前人基于概率优势关系(PDR)排序方法的基础上,结合云理论提出了基于云概率优势关系的不完备系统多准则决策方法,即云PDR排序法。将期望、熵、超熵等参数引入PDR方法,充分考虑了决策的模糊性、波动性和随机性,评价过程和结果更加客观全面。以煤炭资源型城市为例进行应用研究,获得其中各城市发展水平及其波动情况的排序,并通过与其他方法结果的比较验证了本文方法的优势与有效性。     

Group decision making process for supplier selection with VIKOR under fuzzy environment

During recent years, how to determine suitable suppliers in the supply chain has become a key strategic consideration. However, the nature of supplier selection is a complex multi-criteria problem including both quantitative and qualitative factors which may be in conflict and may also be uncertain. The VIKOR method was developed to solve multiple criteria decision making (MCDM) problems with conflicting and non-commensurable (different units) criteria, assuming that compromising is acceptable for conflict resolution, the decision maker wants a solution that is the closest to the ideal, and the alternatives are evaluated according to all established criteria. In this paper, linguistic values are used to assess the ratings and weights for these factors. These linguistic ratings can be expressed in trapezoidal or triangular fuzzy numbers. Then, a hierarchy MCDM model based on fuzzy sets theory and VIKOR method is proposed to deal with the supplier selection problems in the supply chain system. A numerical example is proposed to illustrate an application of the proposed model.     

A novel fuzzy multi-criteria decision framework for sustainable supplier selection with incomplete information

Both academic and corporate interest in sustainable supply chains has increased in recent years. Supplier selection process is one of the key operational tasks for sustainable supply chain management. This paper examines the problem of identifying an effective model based on sustainability principles for supplier selection operations in supply chains. Due to its multi-criteria nature, the sustainable supplier evaluation process requires an appropriate multi-criteria analysis and solution approach. The approach should also consider that decision makers might face situations such as time pressure, lack of expertise in related issue, etc., during the evaluation process. The paper develops a novel approach based on fuzzy analytic network process within multi-person decision-making schema under incomplete preference relations. The method not only makes sufficient evaluations using the provided preference information, but also maintains the consistency level of the evaluations. Finally, the paper analyzes the sustainability of a number of suppliers in a real-life problem to demonstrate the validity of the proposed evaluation model.