模糊理想解法在多准则群决策中的应用

将模糊数学理论引入到不确定环境下的多准则群决策问题中,利用模糊理想解法进行方案排序.用三角模糊数来描述模糊准则权重和模糊准则属性值,给出了使用模糊理想解法进行群决策问题求解的一般步骤;通过供应商选择这一实例验证了本方法的有效性.     

模糊多属性决策的维修服务质量评价

维修服务质量是不同属性的综合体，它包括许多很难被测量的不可感知属性。这种特性给被测者在接受问卷调查时带来了一些困难。为了避免上述情况的出现，运用模糊理论评价维修点的维修服务质量，建立了模糊多属性决策模型，并将模糊集理论引入不可感知属性指标值的测度中。用层次分析法获得准则的权重和用逼近理想解排序法进行维修服务质量的排序后，得到了满意的结果。     

一种变量是梯形模糊数的两层多随从线性规划模型及其算法

针对具有递阶特征的多层管理系统,本文建立了一种变量为梯形模糊数的两层多随处线性规划模型.利用模糊结构元理论,通过模糊数的结构元加权序,将梯形模糊数的排序转化为单调有界函数的排序,从而证明了该模型的最优解等价于两层多随处线性规划模型的最优解;进而提出了求解该模型的有效算法.最后,通过两个数值算例验证了该方法的可行性.     

模糊决策属性约简及其在工位评估中的应用

受粗糙集理论中知识约简的启发,在模糊多属性决策理论中提出属性约简的概念,构建属性约简方法,寻求属性集合中所有最简单的保序属性约简子集以及属性约简核.用属性约简子集代替原有的属性集合,通常可以显著简化模糊多属性决策问题.还将此属性约简方法应用到生产线工位绩效评估中,表明此属性约简算法的实用性.     

三参数区间数研究及其在决策分析中的应用

在定义三参数区间数的基础上,给出了三参数区间数的运算关系;然后将权重为区间数的多指标决 策问题转化为指标取值为三参数区间数的多指标决策问题;在三参数区间数理想方案点定义的基础上,给出了 权重为三参数区间数的逼近理想点法;最后将其应用于某城市公交线网的优化调整中。结果表明,该法科学合 理、切实可行。     

基于梯形直觉模糊数的改进DEMATEL方法

针对传统DEMATEL方法在评价复杂系统因素间影响关系时,表征评估信息时存在模糊性、反映专家判断时存在不确定性等问题,提出基于梯形直觉模糊数的改进DEMATEL方法。该方法运用可转化为梯形直觉模糊数的语言变量表征专家对复杂系统因素之间影响程度的评分,清晰化综合关系模糊影响矩阵得到系统中各影响因素的原因度和中心度,并且通过实例结果证明了该方法的有效性。     

三角型模糊数空间的可分性、局部紧性和完备性

证明了Ｒ１上全体三角型模糊数构成的空间Ｔ是可分的、局部紧的完备度量空间     

多判据模糊决策在工程爆破中的应用

本文介绍了多判据模糊决策的数学模型。该模型可广泛地用于工程爆破中的爆破方案比较,以及爆破试验中的最优爆破参数的决策。该模型的应用将有利于工程爆破试验及设计的计算机程序设计。     

基于区间二型模糊EDAS的多属性决策方法

针对多属性决策存在的复杂性和不确定性问题,提出基于区间二型模糊平均解距离法 (evaluation based on distance from average solution,EDAS) 的多属性决策方法。采用区间二型模糊集合 (interval type-2 fuzzy sets,IT2FS) 表达评价信息解决专家的偏好信息存在个体化差异问题,并纳入EDAS对备选方案进行排序。以区间二型模糊数表达评价信息构建决策矩阵,以计算得到的综合评价值的去模糊化结果作为最终的方案排序依据。针对EDAS中属性权重需要从外部获取的问题,采用区间二型模糊集合改进的最优最劣法 (best-worst method,BWM) 确定属性权重。最后,以某汽车制造企业选购新能源汽车云服务方案为例,验证所提方法的有效性。     

序时多指标决策的夹角模糊优选法

针对有时序的多指标决策问题,提出一种新的决策方法－夹角模糊优选法,并给出该方法的原理与步骤,最后以实例说明此方法的应用,为决策者提供了一条新思路。     

Trapezoidal Intuitionistic Fuzzy Aggregation Operator Based on Choquet Integral and Its Application to Multi-Criteria Decision-Making Problems

The Choquet integral can serve as a useful tool to aggregate interacting criteria in an uncertain environment. In this paper, a trapezoidal intuitionistic fuzzy aggregation operator based on the Choquet integral is proposed for multi-criteria decision-making problems. The decision information takes the form of trapezoidal intuitionistic fuzzy numbers and both the importance and the interaction information among decision-making criteria are considered. On the basis of the introduction of trapezoidal intuitionistic fuzzy numbers, its operational laws and expected value are defined. A trapezoidal intuitionistic fuzzy aggregation operator based on the Choquet integral is then defined and some of its properties are investigated. A new multi-criteria decision-making method based on a trapezoidal intuitionistic fuzzy Choquet integral operator is proposed. Finally, an illustrative example is used to show the feasibility and availability of the proposed method.     

模糊数空间中的一致收敛度量

讨论模糊数空间中一致收敛度量与其它常用度量之间的关系。和人们对模糊数空间的常识相反，本文中证明了的确一致收敛度量与其它度量之间有内在的联系。     

基于犹豫模糊语言术语的供应商多准则群决策研究

针对全球价值链环境下供应商科学决策问题,提出基于不确定语言术语的多准则群决策模型。首先分别提取专家的偏好信息,将偏好信息转化为犹豫模糊语言术语,引入不确定语言变量进行词计算;其次,运用包络算子融合专家的偏好信息形成犹豫模糊语言术语集,设计集成准则权重的相对贴近度进行产品供应商排序,确定最满意供应商;此外,引入信息熵求解决策过程无先验知识的多准则权重;计算结果表明：3种信息熵参数条件下最满意汽车零部件供应商选择结果完全一致,基于相对贴近度值的供应商优劣排序结果相对于信息熵参数变化不敏感;验证了所提模型可行性、有效性和稳定性,为汽车零部件供应商的实际评价与选择提供有益借鉴。     

模糊多目标决策算法在产品包装质量评估中的运用

产品的包装质量评估体系的评价指标主要有可靠性、方便性、环保性、经济性与艺术性.以这五个指标建立评价矩阵,将模糊多目标决策算法运用于产品的包装质量评估.这种评价方法使得企业能够对产品的包装方案进行定量评价,对包装质量进行有效的评估和管理,并通过实际案例验证了该方法的有效性.     

New Decision-Making Technique Based on Hurwicz Criteria forFuzzyRanking

Efficient decision-making remains an open challenge in the research community, and many researchers are working to improve accuracy through the use of various computational techniques. In this case, the fuzzification and defuzzification processes can be very useful. Defuzzification is an effective process to get a single number from the output of a fuzzy set. Considering defuzzification as a center point of this research paper, to analyze and understand the effect of different types of vehicles according to their performance. In this paper, the multi-criteria decision-making (MCDM) process under uncertainty and defuzzification is discussed by using the center of the area (COA) or centroid method. Further, to find the best solution, Hurwicz criteria are used on the defuzzified data. A new decision-making technique is proposed using Hurwicz criteria for triangular and trapezoidal fuzzy numbers. The proposed technique considers all types of decision makers’ perspectives such as optimistic, neutral, and pessimistic which is crucial in solving decision-making problems. A simple case study is used to demonstrate and discuss the Centroid Method and Hurwicz Criteria for measuring risk attitudes among decision-makers. The significance of the proposed defuzzification method is demonstrated by comparing it to previous defuzzification procedures with its application.     

风险决策模糊数学模型在企业决策中的应用

风险型决策问题是决策科学中的一个重要问题,本文针对其模糊不确定性,建立了自然状态概率的模糊估算模型,然后,基于决策论中的最优期望益损值决策准则进行最优决策,并通过实际应用说明该模型的有效性和可靠性,本文的研究为风险型决策问题的解决提供了一种新的定量分析方法,因此,具有重要的理论与应用价值。     

关于模糊逻辑与模糊推理逻辑基础问题的十年研究综述

自从1993年发生关于模糊逻辑的一场争论以来,模糊逻辑和模糊推理研究在十年里得到了迅速的发展。本文对这十年国内外关于模糊逻辑和模糊推理研究的大致情况做一个回顾,简要分析这些研究工作的主要特点。     

Fuzzy Integral Theory and Its Application in Fault Intelligent Integrated Diagnosis

1IntroductionToachievemoreaccurateandreliablefaultdiagnosisresults,itisdesirabletoextractdiagnosissymptomsfromvarioussymptomdomains.However,howtoefficientlyutilizethismulti-symptom-domaininformationisstillaproblem.Theconventionalmethodisstacked-vector[1]approach.Fromthepointofviewofpatternrecognition,thisapproachwillcausetwoproblems:Normalizationproblemandhigh-dimensionproblem.Thefeaturesfromvarioussymptomdomainsmaybedifferentnotonlyintheformofrepresentationbutalsointhephysicalmeaning.Itisqu…     

Robust Design Rule with Definite Purpose Character Based on Fuzzy Probability and Study of its Characteristics

The design target with definite purpose character of product quality was described in a real fuzzy number(named fuzzy target for short in this paper),and its membership functions in common use were given.According to the fuzzy probability theory and the robust design principle,the robust design rule based on fuzzy probability(named fuzzy robust design rule for short)was put forward and its va-lidity and practicability were analyzed and tested with a design example.The theoretical analysis and the design examples make clear that,while the fuzzy robust design rule was used,the fine design effect can be obtained and the fuzzy robust design rule can be very suitable for the choice of the membership function of the fuzzy target;so it has a particular advantage.