Rough集理论：现状与前景

经典逻辑中只有真、假二值,但实际上有大盆含糊现象存在于宾和假二值之间,因此,长以来许多逻辑学家和哲学家就致力于研究含糊概念。早在1904年谓词逻辑的创始人G.Frege就出了含糊     

基于核心概念集的多语言Ontology

随着Web资源的日益丰富,人们需要跨语言的知识共享和信息检索。一个多语言Ontology可以用来刻画不同语言相关领域的知识,克服不同文化和不同语言带来的障碍。对现有的构建多语言Ontology方法进行分析和比较,提出一种基于核心概念集的多语言Ontology的构建方法,用一个独立于特定语言的Ontology以及来自不同自然语言的定义和词汇的同义词集来描述相关领域的概念。用该方法构建的Ontology具有良好的扩展能力、表达能力和推理能力,特别适合分布式环境下大型Ontology的创建。     

基于粗集理论的决策支持系统研究

粗集作为一种数据分析方法,能有效地从不精确的、不完整的数据中发现知识。决策支持系统涉及到对不确定因素和对不完备信息的处理。应用粗集理论可以在决策支持系统中对不完备数据进行分析、推理,提取有用特征,简化信息处理,得出肯定结论。     

Ada语言与Occam语言的比较

一、引言过去十年在计算语言领域的重要进展之一是出现了具有并行计算能力的Ada语言和Occam语言。Ada语言是具有类似Pascal语言的控制结构,并且能重植入过程和函数的大型语言,其初始设计目标是满足美国国防部所规定的要求,即首先考虑支持适于军事装备的嵌入式编程系统。就本质而言,Ada语言是在串行语言的结构上,扩充增加了并发执行的能力。 Occam语言是和Transputer同时设计实     

综合型语言知识库及其前景

北京大学计算语言学研究所自1986年起,历时25年建成综合型语言知识库(CLKB)。CLKB包括6个语言知识库、10项规范与标准、基础软件工具集和4个应用系统,它们相互支撑,形成一个有机整体。CLKB的系列化的语言知识涵盖词、词组、句子、篇章各单位和词法、句法、语义各层面,从汉语向多语言辐射,从通用领域深入到专业领域。尽管CLKB已形成阶段性成果,但它仍在发展中。该文重点介绍CLKB的语言知识库,也探讨其发展方向。     

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.     

基于软集的无标记信息代数模型与算法

在给定的一个初始论域U和参数集E上的全体软集中引入扩展运算与转移运算,研究了它们的性质.在此基础上引入商软集的概念,并在全体商软集中引入联合运算与聚焦运算,得到其构成一个无标记的信息代数,并且若参数集E有限,这个信息代数还是一个无标记的紧信息代数.最后,给出运用无标记信息代数的模型解决软集中不确定问题的决策算法与实例,并与Cagman等人提出的uni-int决策算法做了比较说明.     

基于粗集的多准则决策分析

多准则决策分析(MCDA)用于解决分类、分级、选择、排序和描述问题,随着现实世界正变得由数据所驱动,传统的 MCDA 方法面临着更多的挑战.粗集方法是 MCDA 的有用工具,在多准则决策问题的分类框架下,从二元关系的角度对粗集方法的研究现状进行了评述,包括二元关系的建立、定义粗糙近似、导出决策规则和规则应用,并通过文献研究得出了基于粗集的 MCDA 方法的发展动态.     

A review of: “PRINCIPLES OF SYSTEMS: TEXT AND WORKBOOK (Second preliminary edition)” by Jay W. Forrester. Wright-Allen Press,Cambridge, Massachusetts, 1968.

It is common that experts involved in complex real-world decision problems use natural language for expressing their knowledge in uncertain frameworks. The language is inherent vague, hence probabilistic decision models are not very suitable in such cases. Therefore, other tools such as fuzzy logic and fuzzy linguistic approaches have been successfully used to model and manage such vagueness. The use of linguistic information implies to operate with such a type of information, i.e. processes of computing with words (CWW). Different schemes have been proposed to deal with those processes, and diverse symbolic linguistic computing models have been introduced to accomplish the linguistic computations. In this paper, we overview the relationship between decision making and CWW, and focus on symbolic linguistic computing models that have been widely used in linguistic decision making to analyse if all of them can be considered inside of the CWW paradigm.     

Pythagorean linguistic preference relations and their applications to group decision making using group recommendations based on consistency matrices and feedback mechanism

In this paper, we introduce a new type of fuzzy set, called Pythagorean linguistic sets (PLSs), to address the preferred and nonpreferred degrees of linguistic variables. Moreover, it allows decision makers to offer effectively handle uncertain information more flexible than intuitionistic linguistic sets (ILSs) when one compares two alternatives in the process of decision making. Some of the fundamental operational laws, score, accuracy, and aggregation operators are defined, and their properties are investigated. Preference relation (PR) is a useful and efficient tool for decision making that only requires the decision makers to compare two alternatives at one time. Taking the advantages of PLSs and PRs, this paper also introduces Pythagorean linguistic preference relations (PLPRs) and studies their application. We propose an approach for group decision making using group recommendations based on consistency matrices and feedback mechanism. First, the proposed method constructs the collective consistency matrix, the weight collective PRs, and the group collective PRs. Then, it constructs a consensus relation for each expert and determines the group consensus degree (GCD) for all experts. If the GCD is smaller than a predefined threshold value, then a feedback mechanism is activated to update the PLPRs. Finally, after the GCD is greater than or equal to the predefined threshold value, we calculate the arithmetic mathematical average values of the updated group collective PR to select the most appropriate alternative.     

Multicriteria decision‐making approach based on gray linguistic weighted Bonferroni mean operator

The main purpose of this paper is to provide a multicriteria decision‐making (MCDM) approach that applies the gray linguistic Bonferroni mean (BM) operator to address the situations where the criterion values take the form of gray linguistic numbers (GLNs) and the criterion weights are known. First, the related operations and comparison method for GLNs are provided. Subsequently, a BM operator and weighted BM operator of GLNs are developed. Then, based on the gray linguistic weighted BM operator, an MCDM approach is proposed. Finally, an illustrative example is given and a comparison analysis is conducted between the proposed approach and other existing methods to demonstrate the effectiveness and feasibility of the developed approach.     

A new method for probabilistic linguistic multi-attribute group decision making: Application to the selection of financial technologies

“No technology, no finance” has been the consensus in banking industry. Under the background of financial technology (Fintech), how to select an appropriate technology company to cooperate for the banks has become a key. The technology company selection can be regarded as a kind of multi-attribute group decision making (MAGDM) problems. The probabilistic linguistic term set (PLTS) is a useful tool to express decision makers’ (DMs’) evaluations in the technology company selection. This paper develops a new method for MAGDM with PLTSs. Firstly, the possibility degree and range value of PLTSs are defined. Then a possibility degree algorithm is designed for ranking PLTSs. An Euclidean distance measure between PLTSs is presented and extended to probabilistic linguistic matrices. Based on Archimedean t-norm and s-norm, some new operational laws for PLTSs are defined and some desirable properties are discussed. Then, a generalized probabilistic linguistic Hamacher weighted averaging (GPLHWA) operator and a generalized probabilistic linguistic Hamacher ordered weighted averaging (GPLHOWA) operator are developed. Some useful properties for these operators are investigated in detail. Combined with the subjective weights of DMs, the DMs’ weights are determined by the adjusted coefficients. Using the GPLHWA operator, the collective decision matrix is obtained by aggregating all the individual decision matrices. By maximizing the total weighted square possibility degree, a multi-objective program is constructed to derive the attribute weights. The ranking order of alternatives is generated by integrating ELECTRE and TOPSIS. Thereby, a new method is put forward for MAGDM with PLTSs. A Fintech example is analyzed to show the effectiveness of the proposed method. The sensitivity analysis and comparative analyses are conducted to illustrate its advantages.     

二元语义粗算子及其语言多属性决策中的应用

针对语言多属性决策,提出一种基于二元语言信息处理和粗糙集理论的求解方法。利用规范的语言评价信息建立决策信息表,提出了一种由属性依赖度和信息度来形成属性客观权重的方法,通过二元语义集成算子计算属性的主观权;根据决策者的偏好,将各属性的主客观权重信息集成,得到属性综合权重;将规范化的语言评价信息转化为二元语言形式,并与已有的信息集结算子合成,得到二语义粗算子;举例说明二元语义粗算子的应用。     

基于前景理论的毕达哥拉斯二元语义PROMETHEE决策方法

针对属性值为毕达哥拉斯二元语义数(P2TLN)的多属性决策问题,考虑到决策者的有限理性行为,提出基于前景理论的偏好顺序结构排序法(PROMETHEE)的决策方法。首先,介绍毕达哥拉斯二元语义集的相关概念,并对现有P2TLN的距离进行改进,提出一种基于得分函数和精确函数的P2TLN距离,并证明其性质;其次,为体现决策者在比较决策信息时的风险偏好,利用前景价值函数构造P2TLN的优先函数,并以此对方案进行两两比较,从而计算各方案的净流量,进而对各方案进行排序。最后,通过物流公司的评估实例说明所提方法的可行性和有效性。     

q-Rung orthopair uncertain linguistic partitioned Bonferroni mean operators and its application to multiple attribute decision-making method

A q-rung orthopair uncertain linguistic set can be served as an extension of an uncertain linguistic set (ULS) and a q-rung orthopair fuzzy set, which can also be treated as a generalized form of the existing intuitionistic ULS and Pythagorean ULS. The new linguistic set uses the uncertain linguistic variable to express the qualitative evaluation information and allows decision makers to provide their true views freely in a larger membership grade space. In this paper, we investigate the Bonferroni mean under the q-rung orthopair uncertain linguistic environment, then we propose the q-rung orthopair uncertain linguistic Bonferroni mean and its weighted form. Furthermore, considering the specific partition pattern among the attributes, the q-rung orthopair uncertain linguistic partitioned Bonferroni mean and its weighted form are developed. Meanwhile, we discuss several representative cases and attractive properties of our proposed operators in depth. Subsequently, a novel multi-attribute decision-making method is developed based on the above-mentioned aggregation operators. In the end, a comprehensible case is performed to analyze the superiority of the developed method by comparing with other typical studies.     

II型模糊集合与系统研究进展

Ⅱ型模糊集合是传统Ⅰ型模糊集合的扩展,其本质是模糊集合中隶属度值的再次模糊化表示.Ⅱ型模糊集合可以直接处理模糊规则的不确定性,是解决现实环境高不确定性问题的有效手段.本文首先简要给出了Ⅱ型模糊集合与系统的基本概念,然后分别回顾了广义和区间Ⅱ型模糊理论的发展历史.接着分别讨论了广义和区间Ⅱ型模糊系统的计算复杂性问题研究进展,并进一步介绍了基于区间Ⅱ型模糊集合的词计算理论发展状况.最后给出了本文的结论和进一步研究问题的展望.     

Multiattribute decision making based on power operators for linguistic intuitionistic fuzzy set using set pair analysis

The aim of the presented paper is to give a multiattribute decision making (MADM) method under the linguistic intuitionistic fuzzy (LIF) environment using the set pair analysis (SPA) theory. LIF set can express the qualitative information in terms of linguistic variables, whereas the connection number (CN) based on the “identity,” “discrepancy,” and “contrary” degrees of the SPA theory handles the uncertainties and certainties systems. On the basis of these features, we develop some series of linguistic CN (LCN) power weighted and ordered weighted geometric aggregation operator to aggregate the different LCNs. Several properties of the operators are also studied. Afterward, we present a novel MADM method to solve decision‐making problems under LIF set environment and illustrate with several examples to validate it. A comparative analysis is also presented to show the results.     

一种基于二元语义信息处理的多属性群决策方法

为了解决评价信息为语言信息的多属性群决策问题,结合VIKOR方法,提出一种基于二元语义信息处理的多属性群决策方法．该方法使用二元语义信息集结算子获得决策群组的决策信息,通过最大化群效用和最小化个体遗憾来获得决策者满意的折衷方案．该方法计算简单,便于理解,可有效避免信息的丢失和扭曲,并可克服理想解方法不能反映出各方案与正负理想解的接近程度的不足．最后,算例计算结果表明了该方法的有效性．