基于模糊集合的证据理论信息融合方法

提出了一种利用模糊集合确定概率分配函数（mass函数）进行信息融合的方法。该方法首先构造出融合对象的模糊集合,然后以隶属度函数为基础计算出概率分配函数,再利用D-S规则对多传感器信息进行融合。汽车轮胎压力监测的实验表明该方法获得的mass函数在信息融合中的有效性。     

构建模糊检索的数学模型

为了提高系统处理非精确信息的能力，模糊检索是不可缺少的，而构建模糊检索所用模糊语言的数学模型又是其成败的关键所在，对于数值型属性的语言变量使用隶属函数以及一些模糊算子，能够较准确表达模糊语言变量的含义；对于字符型属性的数据检索，当模糊性只存在字型和字音两方面时，建立匹配函数更能体现模糊检索的优越性，从而帮助用户在信息模糊的情况下检索出所需信息。     

基于模糊集合的证据理论信息融合方法

针对证据理论应用中基本概率分配函数(mass函数)和多传感器信息融合中各传感器测量数据的可靠程度均难以确定的问题,提出了一种基于模糊集合的证据理论信息融合方法.该方法首先利用模糊理论中的相关性函数来计算多传感器的相互支持程度;然后由隶属函数得到每个传感器提供信息的可信度;再将各传感器的支持度和可信度转化成基本概率分配函数即mass函数;最后利用证据理论对多传感器信息进行融合.仿真结果表明,该方法获得的结果具有更高的精度和可靠性.     

利用模糊推理的证据理论信息融合算法

证据理论具有比较强的理论基础,能处理随机性或模糊性所导致的不确定性。但证据理论应用中基本概率分配函数（mass函数）难以确定,针对这一问题,提出了一种基于模糊推理的证据理论信息融合算法。该方法利用模糊理论中的高斯隶属度函数来获得模糊观测下具有概率特性的似然函数,并且由此似然函数得到每个传感器提供信息的可信度;再将各传感器的可信度转化成基本概率赋值函数即mass函数;最后利用证据理论对多传感器信息进行融合。对目标识别的仿真试验表明该方法获得的结果比直接结果具有更高的精度和可靠性。     

一种基于模糊神经网络的信息融合技术

针对船舶所处的复杂环境,以及现代船舶系统对精度的要求越来越高,提出了一种船舶信息融合结构和一种模糊神经的信息融合方法,该方法结合模糊推理和神经网络并行分布处理和自学习能力,采用三层神经网络结构,映射函数为高斯模糊隶属函数,采用改进的BP学习算法.最后通过船舶信息仿真实验,证明了该方法是可行的和有效的.     

基于模糊理论的多传感器信息融合算法

D-S证据理论作为一种重要的不确定性推理理论,为处理传感器信息的模糊性及不确定性提供了很好的解决方法。但各个证据中的基本概率分配函数（mass函数）如何生成,仍是人们需要解决的问题。针对这一问题,提出了一种基于模糊理论中的高斯隶属度函数来得到传感器提供信息的可信度,计算了各个传感器之间的相互支持度;将各传感器的可信度和支持度转化成mass函数;利用证据理论对多传感器信息进行融合。仿真试验表明该方法能够有效提高识别的准确性和可靠性。     

多传感器信息融合目标识别系统设计

多传感器信息融合主要用于目标检测、定位、跟踪和识别。多传感器信息融合对来自不同信息源的信息进行分析与综合,产生被测对象的统一最佳估计,使信息的准确性、可靠性及完备性有明显提高。各个传感器所提供的信息一般是不完整的,即包含大量的不确定性。而证据理论能很好地表示不确定性,且推理形式简单,因而在信息融合方面起着重要的作用。本文采用模糊集合的隶属度函数构造证据理论中的基本概率赋值函数,使得证据理论应用于实际更加方便有效。该方法首先根据被跟踪目标数据库的信息构建每个属性的模糊逻辑图,然后以模糊集合的隶属度函数为基础计算每个属性的mass函数。最后用证据理论的合成规则对mass函数进行合成达到目标识别的目的。     

海量信息融合方法及其在状态评价中的应用

针对证据理论无法有效处理海量信息融合的不足,提出一种结合聚类和凸函数证据理论的海量信息融合方法,旨在解决状态评价等普遍而重要的应用问题.该方法首先基于聚类算法BIRCH对采集的海量信息进行预处理,形成多个簇;然后,针对状态评估类问题所用数据大多为数值数据和序数数据这一特点,计算每个簇的质心,并将其作为该簇的代表信息,基于广义三角模糊隶属函数对每个质心信息进行基本概率指派形成证据;最后,基于凸函数证据理论完成各证据的组合,从而完成了海量信息的融合.仿真实验结果表明:该方法既高效又合理地融合了海量信息,为海量信息融合技术的发展提供了一条探索途径.     

模糊控制中隶属函数的自动生成

本文摘要分析了模糊控制中模糊语言变量的隶属函数，提出了一种实用的隶属函数设计方法经对多种实例的设计，均获得满意的结果。     

模糊集理论在多传感器信息融合中的应用

在多传感器信息融合系统中,融合系统处理的信息本质具有模糊性,而模糊集理论具有处理模糊问题和模糊推理的优势,因此,模糊集理论已被广泛应用在多传感器信息融合领域。描述的信息融合方法中,通过引入隶属函数的概念,对传感器的测量值进行模糊化处理;利用模糊综合评判原理把传感器的信息融合问题转化为模糊综合评判过程。通过仿真实验验证,这种信息融合方法计算量小、信息融合精度高。     

An Intuitionistic 2‐Tuple Linguistic Information Model and Aggregation Operators

Dealing with uncertainty is always a challenging problem, and different tools have been proposed to deal with it. Fuzzy sets was presented to manage situations in which experts have some membership value to assess an alternative. The fuzzy linguistic approach has been applied successfully to many problems. The linguistic information expressed by means of 2‐tuples, which were composed by a linguistic term and a numeric value assessed in [ ? 0.5, 0.5). Linguistic values was used to assess an alternative and variable in qualitative settings. Intuitionistic fuzzy sets were presented to manage situations in which experts have some membership and nonmembership value to assess an alternative. In this paper, the concept of an I2LI model is developed to provide a linguistic and computational basis to manage the situations in which experts assess an alternative in possible and impossible linguistic variable and their translation parameter. A method to solve the group decision making problem based on intuitionistic 2‐tuple linguistic information (I2LI) by the group of experts is formulated. Some operational laws on I2LI are introduced. Based on these laws, new aggregation operators are introduced to aggregate the collective opinion of decision makers. An illustrative example is given to show the practicality and feasibility of our proposed aggregation operators and group decision making method.     

An integrated fuzzy MCDM approach for supplier evaluation and selection

A fuzzy multi-criteria group decision making approach that makes use of quality function deployment (QFD), fusion of fuzzy information and 2-tuple linguistic representation model is developed for supplier selection. The proposed methodology seeks to establish the relevant supplier assessment criteria while also considering the impacts of inner dependence among them. Two interrelated house of quality matrices are constructed, and fusion of fuzzy information and 2-tuple linguistic representation model are employed to compute the weights of supplier selection criteria and subsequently the ratings of suppliers. The proposed method is apt to manage non-homogeneous information in a decision setting with multiple information sources. The decision framework presented in this paper employs ordered weighted averaging (OWA) operator, and the aggregation process is based on combining information by means of fuzzy sets on a basic linguistic term set. The proposed framework is illustrated through a case study conducted in a private hospital in Istanbul.     

基于梯形模糊隶属函数的复合语言多目标决策

对于一些复杂的决策问题, 使用比较语言比单一语言更能准确地表达专家的看法. 据此, 提出一种同时使用单一语言和比较语言的新算法. 根据上下文无关文法将比较语言表达转换为犹豫模糊语言术语集(HFLTS), 并应用有序加权算子(OWA) 计算出由梯形隶属函数表示的模糊语言术语集的模糊包络, 有效地简化了基于HFLTS 的词计算过程. 最后应用逼近理想解排序(TOPSIS) 方法进行决策.

     

基于动态P-模糊语言算子的VIKOR决策方法

针对直觉模糊信息解决动态多属性决策问题时存在的不足,将Pythagorean模糊语言信息引入到动态多属性决策问题,提出一种基于Pythagorean模糊语言信息集成算子的多准则妥协排序（VIKOR）决策方法。引入Pythagorean模糊语言得分函数、精确函数、距离计算公式等概念,提出动态 Pythagorean模糊语言加权平均（DPFLWA）算子,并研究DPFLWA算子的基本性质。最后,基于DPFLWA算子和VIKOR方法,构建一种动态 Pythagorean模糊语言多属性决策方法。通过第三方逆向物流服务商的选择实例,表明该方法的可行性和有效性。     

基于折衷型变权向量的直觉语言决策方法

研究一种基于折衷型变权向量的直觉语言决策方法. 首先, 定义折衷型变权向量, 提出与之对应的状态变权向量; 其次, 研究利用马氏效用函数诱导出折衷型变权向量; 再次, 定义直觉语言变量运算法则和大小比较方法, 提出直觉语言信息变权加权平均算子和直觉语言信息变权加权几何平均算子, 进而提出一种初始属性权重确定且属性值以直觉语言形式给出的多属性决策方法; 最后, 通过实例表明了所提出方法的有效性和合理性.

     

Fuzzy linguistic induced OWA Minkowski distance operator and its application in group decision making

The Minkowski distance is a distance measure that generalizes a wide range of other distances such as the Euclidean and the Hamming distance. In this paper, we develop a new decision making model using induced ordered weighted averaging operators and the Minkowski distance of the fuzzy linguistic variables. Then, the authors introduce a new aggregation operator called the fuzzy linguistic induced ordered weighted averaging Minkowski distance (FLIOWAMD) operator by defining a fuzzy linguistic variable distance. It is an induced generalized aggregation operator that utilizes induced OWA operator, Minkowski distance measures and uncertain information represented as fuzzy linguistic variables. Some of its main properties and particular cases are studied. And a further generalization that uses quasi-arithmetic means also is presented. A method based on the FLIOWAMD operator for decision making is presented. At last, we end the paper with a numerical example of the new method.     

语言标记Vague集及其应用

为了解决不确定环境有时不能提供给Vague集的真、假隶属度以精确数字值的问题, 文中提出了语言标记Vague(Linguistic Label Vague,LLV)集.其论域对象的真、假隶属度均是 意义为模糊集的语言标记.文中还定义了LLV集的补、并、交和包含运算.作为应用,构造了LLV 决策表;获取了LLV决策规则;通过LLV集包含程度和相交程度度量了规则的强度,用LLV值 记分函数对强度排序.仿真结果表明:LLV集有时比Vague集更为现实地表示不精确信息.     

Hesitant 2-tuple linguistic Bonferroni operators and their utilization in group decision making

Hesitant 2-tuple linguistic variable realizes a graded information approach to characterize the uncertainty of human cognition. This study is concerned with the development of new aggregation operators and aims to design a new group decision making approach to address the information fusion involving the interrelationship between aggregated terms and the prioritization relationship among decision makers under hesitant 2-tuple linguistic situation. Firstly, hesitant 2-tuple linguistic Bonferroni mean (H2TLBM) operator and prioritized weighted hesitant 2-tuple linguistic Bonferroni mean (PWH2TLBM) operator are established. Subsequently, some pertinent properties and special forms of the developed operators are studied in detail. To employ the proposed operators to solve group decision making problems, a novel TODIM (an acronym in Portuguese of interactive and multiple attribute decision making) method based on possibility degree is developed under the situation of hesitant 2-tuple linguistic information. The designed decision making method not only inherits the merits of the traditional TODIM approach, but also characterizes the interrelationship of criteria. The detailed process of solving problems is exemplified to highlight the practicality and feasibility of the designed method. Furthermore, comparative analysis with other methods is carried out to further offer insights on the designed decision method.     

Type‐1 OWA Unbalanced Fuzzy Linguistic Aggregation Methodology: Application to Eurobonds Credit Risk Evaluation

In decision making, a widely used methodology to manage unbalanced fuzzy linguistic information is the linguistic hierarchy (LH), which relies on a linguistic symbolic computational model based on ordinal 2‐tuple linguistic representation. However, the ordinal 2‐tuple linguistic approach does not exploit all advantages of Zadeh's fuzzy linguistic approach to model uncertainty because the membership function shapes are ignored. Furthermore, the LH methodology is an indirect approach that relies on the uniform distribution of symmetric linguistic assessments. These drawbacks are overcome by applying a fuzzy methodology based on the implementation of the type‐1 ordered weighted average (T1OWA) operator. The T1OWA operator is not a symbolic operator and it allows to directly aggregate membership functions, which in practice means that the T1OWA methodology is suitable for both balanced and unbalanced linguistic contexts and with heterogeneous membership functions. Furthermore, the final output of the T1OWA methodology is always fuzzy and defined in the same domain of the original unbalanced fuzzy linguistic labels, which facilitates its interpretation via a visual joint representation. A case study is presented where the T1OWA operator methodology is used to assess the creditworthiness of European bonds based on real credit risk ratings of individual Eurozone member states modeled as unbalanced fuzzy linguistic labels.     

A genetic-based neuro-fuzzy approach for modeling and control ofdynamical systems

Linguistic modeling of complex irregular systems constitutes the heart of many control and decision making systems, and fuzzy logic represents one of the most effective algorithms to build such linguistic models. In this paper, a linguistic (qualitative) modeling approach is proposed. The approach combines the merits of the fuzzy logic theory, neural networks, and genetic algorithms (GAs). The proposed model is presented in a fuzzy-neural network (FNN) form which can handle both quantitative (numerical) and qualitative (linguistic) knowledge. The learning algorithm of a FNN is composed of three phases. The first phase is used to find the initial membership functions of the fuzzy model. In the second phase, a new algorithm is developed and used to extract the linguistic-fuzzy rules. In the third phase, a multiresolutional dynamic genetic algorithm (MRD-GA) is proposed and used for optimized tuning of membership functions of the proposed model. Two well-known benchmarks are used to evaluate the performance of the proposed modeling approach, and compare it with other modeling approaches.