基于Vague集的多阶段模糊多属性决策方法研究

综述了基于Vague集的多属性决策方法,针对现有研究成果存在的不足,提出了基于Vague集的多阶段模糊多属性决策方法,阐述了该方法的基本步骤和实现过程。该方法分阶段对决策方案进行筛选淘汰,找出最佳决策方案,能有效解决现有Vague集排序函数失效的问题。数值实验表明,该方法有很好的求解能力,为基于Vague集求解模糊多属性决策问题提供了一种新的思路和方法。     

边界不确定信息的处理—Fuzzy集和Vague集

Fuzzy集和Vague集都可用于边界不确定信息的处理。文章首先研究了这两种集合间的关系、性质,提出了Fuzzy集和Vague集的边界不确定性都可用犤0,1犦上的一个子区间来进行描述的思想。然后基于一些Vague集相似度量的思想,提出了一种求Fuzzy集和Vague集的相似性度量方法,并建立了基于Fuzzy集和Vague集度量方法的统一模型,该模型在这两种集合相似性度量上是等价的,并给出了该模型满足的性质。     

基于Vague软集的模糊群决策方法研究

运用传统的模糊集进行模糊型群决策时存在一定的困难,而Vague软集是一种处理不确定信息的重要工具。为此,给出了一种加权的Vague软集间相似度定义,并运用Vague软集对备选方案进行评判;在此基础上运用正态云模型进行群体一致性评判,将基于Vague软集的模糊群决策方法应用于供应商选择问题中,结果表明,Vague软集能极大地提高模糊群决策的科学性和有效性。     

基于熵权Vague集的多目标决策方法

针对目前基于Vague集的多目标决策中目标权重的主观任意性以及评价函数的单一性问题,提出一种基于熵权Vague集的多目标决策方法。首先,将决策矩阵转化为目标优属度矩阵,再利用熵权系数法计算各个目标的客观权重,综合考虑客观权重和主观权重得到各个目标的权重向量区间;然后,通过计算方案的支持目标集、反对目标集和中立目标集得出方案的Vague估计值;最后,定义新的评价函数对方案进行排序并选出最优方案。通过算例验证了所提方法的合理性和有效性。     

Vague集（值）相似性度量

不确定信息对Vague值（集）相似性度量的影响非常复杂、难以刻画,现有的度量方法大多都忽略了该因素。为此,在已有主要研究方法的基础上尝试以二次投票模型为背景考虑了不确定信息对Vague值（集）相似性的影响,提出一种新的Vague值（集）相似性度量方法,并对其性质进行了较系统的分析。通过与现有主要方法的比较,表明该方法具有较好的相似度区分能力。将新的Vague值（集）相似度量用于多准则模糊决策中,考虑候选方案与理想方案在相应准则下相似度的大小得出最佳方案。并通过实例分析验证了该方法的有效性和可行性。     

基于未确知集和模糊TOPSIS决策的故障模式风险评估

为了解决列车控制系统无线闭塞中心设备故障模式与影响分析的风险评估过程中专家评判的认知模糊性和未知不确定性问题,本文提出基于未确知集和模糊TOPSIS决策的故障模式风险评估方法。该方法采用三角模糊数对发生度、严重度、可检测度、维修度4项风险评价指标分别进行模糊化处理,运用未确知数理论来处理各评价指标权重的不确定性以表现其相对重要度;通过使用模糊TOPSIS多准则决策理论对故障模式进行排序最终得到风险评估结果。最后,应用实例对提出的评估方法有效性和可行性进行了验证,结果表明,该方法能有效减少专家主观性对指标权重量化的影响,适用于一些依赖于专家评估经验的故障模式风险评估领域。     

Vague集的多目标模糊决策方法

在进行了阐述Vague集的相关概念和运算后,对多目标模糊决策进行了定义,给出多目标模糊决策的基本思路,并对已有的基于Vague集的多目标模糊决策方法进行了分析,得出现有Vague集的多目标模糊决策方法存在着缺陷,从而提出了一种新的多目标模糊决策的Vague集方法,该方法利用一个新的评分函数对方案进行排序,选出最优方案.最后给出其相关性质,证明其解决了现有方法的缺陷,并通过实例阐明本文方法的有效性和优越性.     

关于Vague集的模糊熵

由于Vague集是Zadeh's模糊集的一个扩展,为计算Vague集的模糊熵,有学者提出将Vague集转化为模糊集,然后借用模糊集有关熵的计算方法来讨论它们。该文首先给出反例说明Li's(2003)的方法在某些情况下和基于模糊集的Vague集模糊熵定义不一致。在指出Vague集的模糊性主要来自未知信息和不确定性信息的基础上,提出了一个基于非模糊集的Vague集模糊熵公理化定义,给出了该类模糊熵的计算公式,最后通过定理证明了它确实同时考虑到了影响Vague集模糊熵的两个因素。     

核电厂DCS设备多属性健康评价策略

DCS设备可靠性评价的准确性对于加强核电厂的DCS设备管理、提高核电厂运营的安全性和经济性至关重要。针对DCS设备可靠性评价,提出了一种基于Vague集的核电厂DCS设备运行可靠性评价策略。结合逼近理想解法（TOPSIS）将DCS设备的可靠性评价指标转换为Vague集。采用熵权法和模糊综合评价法（FAHP）分别得到指标的主客观权重,使用博弈论和基于方差最大化的方法求得组合权重。利用直觉模糊混合算术平均（IFHAA）算子对Vague集进行加权运算,对设备的运行可靠性进行评价和排序。以国内某核电厂DCS设备运行数据为实例,对设备运行可靠性进行综合评价,验证了基于Vague集核电厂DCS设备健康评价策略的可行性。     

基于Vague集模糊推理的多评价指标模糊决策方法

目前在智能领域中对Vague集的研究已越来越广泛与深入,并运用于决策问题中,有学者已把Vague集用于多评价指标的模糊决策中,但其决策方法在某些时候却难以得到目标。为此,本文提出了一个基于Vague集模糊推理的多评价指标模糊决策方法。在这个方法中,从基于Vague集的模糊推理的观点来看待模糊决策问题。将评价指标和候选方案之间的关系用一组基于Vague集的推理规则来表示,将决策者的要求用一组Vague集来表示,经过模糊推理等过程最后得到决策结果。然后还给出了一个实例说明这种多评价指标模糊决策方法。这个基于Vague集模糊推理的多评价指标模糊决策方法的提出为决策系统提供了一个有用的工具。     

基于区间值Vague集的多属性模糊决策方法

区间值Vague集作为Vague集的一种有用推广,已经在系统控制以及智能决策等方面有较为广泛的研究与应用.针对不确定系统处理中常出现的模糊决策问题,通过将决策方案的约束条件属性集转化成区间值Vague集,并综合考虑约束条件属性肯定出现的区间值程度以及肯定不出现的区间值程度和未知是否出现的含糊(犹豫)程度区间,给出一个基于区间值Vague数的记分函数和区间值Vague集的有效的多属性模糊决策方法,使得决策更加合理更具弹性.最后通过一个实例表明我们所提出的方法在不确定系统决策中确是简便可行的.     

Hybrid MCDM based methodology for selecting the optimum maintenance strategy for ship machinery systems

The key to achieving optimum ship system reliability and safety is to have a sound maintenance management system in place for mitigating or eliminating equipment/component failures. Maintenance has three key elements; risk assessment, maintenance strategy selection and the process of determining the optimal interval for the maintenance task. The optimisation of these three main elements of maintenance is what constitute a sound maintenance management system. One of the challenges that marine maintenance practitioners are faced with is the problem of maintenance selection for each equipment item of the ship machinery system. The decision making process involves utilising different conflicting decision criteria in selecting the optimum maintenance strategy from among multiple maintenance alternatives. In tackling such decision making problems the application of a multi-criteria decision making (MCDM) method is appropriate. Hence in this paper two hybrid MCDM methods; Delphi-AHP and Delphi-AHP-PROMETHEE, are presented for the selection of appropriate maintenance strategies for ship machinery systems and other related ship systems. A case study of a ship machinery system maintenance strategy selection problem is used to demonstrate the suitability of the proposed methods.     

基于Vague集的多准则模糊决策方法

基于Vague集的模糊决策方法的提出，为决策系统提供了一个有用的工具．对模糊条件下的多准则决策问题，指出了采用Vague集进行多准则模糊决策的现有计分函数的不足，根据Vague集的性质提出了二种新的方案选择方法：记分函数法和加权记分函数法。对已有的Vgue集记分函数法进行了分析与联系，并通过例子阐明本文方法的有效性和优越性．     

Vague集的研究进展及其在模糊信息处理中的应用

介绍vague集理论及其不同的表示形式，并解释这些表示形式的几何意义．讨论vague集与fuzzy集之间的区别和联系，较全面和系统地回顾vague集理论的研究进展及其在决策、近似推理及医疗诊断等领域中的应用现状．最后，指出vague在理论和应用等方面存在的问题及未来可能的研究方向．     

A fuzzy, knowledge-based decision support tool for production operations management

Abstract: Production operations managers frequently have to make decisions based on vague, imprecise knowledge. Any software tool developed to aid their decision making needs to take into account the approximate nature of the information available to them and the inexact knowledge to which individual facts are applied. Much of this knowledge is expressed as vague, linguistic articulations. A convenient framework for dealing with such approximate knowledge is fuzzy logic and fuzzy set theory. As a specific example, a system was developed for providing decision support in the Just-in-Time area of production operations management.     

An enhanced method and its application for fuzzy multi-criteria decision making based on vague sets

Ye [Ye Jun. Improved method of multicriteria fuzzy decision making based on vague sets. Computer-Aid Design 2007;39:164–9] presented an improved method to handle multi-criteria fuzzy decision-making problems based on vague set theory. He/She provided some functions to measure the degree of suitability of each alternative with respect to a set of criteria presented by vague values. However, in some cases, these functions do not give sufficient information about alternatives. Therefore, in this paper, an enhanced method is provided to measure the accuracy membership of each alternative so as to give additional information for the decision maker. In addition, to making computing and ranking results easier and to increase the recruiting productivity, a computer-based decision-support system is also developed, which may help to make a decision more efficiently.     

A predictive maintenance system for multi-granularity faults based on AdaBelief-BP neural network and fuzzy decision making

Predictive maintenance of production equipment is a prerequisite to ensure safe and reliable manufacturing operations. To avoid unexpected shutdown and even casualties caused by faults during production, it is paramount to design an effective predictive maintenance decision system for production equipment. Most of the related research works concentrate on early warn of specific faults but neglect the differentiations of the fault severity. To address the issue, this paper presents an intelligent predictive maintenance system for multi-granularity faults of production equipment based on the AdaBelief-BP (back propagation) neural network and the fuzzy decision making. The characteristics of the system presented in this paper include: (1) The proposed system implements a two-stage framework, integrating the functions of fault type prediction and fault degree prediction, which can provide comprehensive fault information throughout production lifecycles; (2) On the maintenance solution identification stage, fuzzy logic-based decision making is carried out to determine appropriate maintenance solutions based on the practical vague boundary of fault severity. In the system, the design of the AdaBelief-BP neural network can achieve a higher convergence rate and a better generalization capability as well. Meanwhile, to the best of our knowledge, in this research, it is the first time to use the migration of the fuzzy membership degree as the indicator of the changing condition of fault severity to facilitate more accurate maintenance solution identification. To verify the effectiveness of the system, comparison experiments with some popular algorithms are conducted. Benchmarking results show that the developed system can achieve higher prediction accuracy as well as higher efficiency than the comparative methods.     

电力检修管理系统研究与设计

随着电网的高速发展,电力设备检修和电力调度管理信息量也就越来越大。提高管理水平,制定合理的检修计划,安排合理的运行方式也越来越迫切。因此,研究设计一套完善的电力检修管理系统,可以有效地提高计划检修、设备检修入网申请的整体运作效率,提高电网运行的经济效益和社会效益。     

多属性决策的Vague集方法

对多属性决策问题和信息集结问题进行了研究,分析了已有Vague集方法,并通过例子说明其不足之处.提出了一种多属性决策的Vague集方法.定义了方案对目标的支持(反对、中立)度等概念,利用目标优属度矩阵对属性值及属性权重进行集结,从而得到方案的Vague估计值.定义正(负)理想Vague值,并用TOPSIS法对方案进行排序和选优.算例验证了该方法的有效性和可行性.