返回
类型 基础研究 预答辩日期 2017-11-30
开始(开题)日期 2015-03-13 论文结束日期 2017-10-05
地点 东南院305 论文选题来源 国家自然科学基金项目     论文字数 9 (万字)
题目 基于不确定语言表达式的群决策理论与方法研究
主题词 群决策,不确定语言表达式,犹豫模糊语言术语集,语言修饰词,偏好关系
摘要 由于问题本身的复杂性或者专家认知水平的局限性,决策信息不可避免地包含不确定性。在模糊语言决策方法中,语言变量提供了一种接近人类认知的表示不确定信息的方式。传统的词语计算方法要求决策者将信息表示为某个确定的预定义的语言术语。这在复杂的不确定环境中往往难以实现。不确定语言表达式以直接或者间接的方式包含多个术语,其中每个术语都可能是语言变量的真值,更符合人们表达不确定性的语言习惯。 本文在现有模型的基础上,提出了两种新的符合自然语言习惯的不确定语言表达式的词语计算模型,并研究了相关的基础理论和群决策方法。具体来说,本文的创新工作包含以下几个方面: (1) 理论方面,提出了两种不确定语言表达式的模型:扩展的犹豫模糊语言术语集和含语言修饰词的语言术语。其中,前者可以表示包含多个术语的自然语言表达式,具有比犹豫模糊语言术语集更灵活的性质;如果无法确定地使用单个术语,后者利用弱化语言修饰词刻画使用该术语的不确定性。在系统地定义虚拟术语的语义和语法的基础上,本文详细研究了这两种不确定语言术语的表示和计算模型,奠定了其在决策分析中应用的基础。 (2) 方法方面,研究了基于现有的和本文提出的不确定语言表达式的群决策方法。当决策信息表示为扩展的犹豫模糊语言术语集时,本文首先提出了基于信息融合的考虑群组内部结构的多群组决策方法,并在全序关系的基础上,提出了一种两阶段群决策方法,研究了序关系对决策结果的影响;然后定义了偏好信息为扩展的犹豫模糊语言术语集的新型语言偏好关系,并基于图论的方法研究了此类偏好关系的几种一致性测度和退化算法;最后利用扩展的犹豫模糊语言术语集表示残缺语言偏好关系的未知项的所有可能值,提出了以一致性为准则的交互式语言偏好关系的补全算法。当决策信息为含语言修饰词的语言术语时,本文首先提出了一种多粒度群决策方法,然后将语言修饰词引入偏好关系中,利用模糊加权图研究了此类偏好关系的一致性判定和改进方法。在此基础上,本文进一步研究了决策信息为多种不确定语言表达式的群决策问题,分别提出了考虑决策者期望水平的群决策方法和基于随机分析的群决策方法。 (3) 应用方面,首先通过多个案例分析验证了本文提出的群决策方法的有效性,分析了方法的优势与不足。特别地,本文分析了大数据在审计应用中的必要性,提出了评估大数据辅助审计平台的层次模型。由于模型中包含大量的定性指标,本文将提出的方法应用于实际的大数据辅助审计平台的评估。
英文题目 Research on Theory and Approaches of Group Decision Making with Uncertain linguistic Expressions
英文主题词 Group decision making, Uncertain linguistic expressions, Hesitant fuzzy linguistic term sets, Linguistic hedges, Preference relations
英文摘要 Due to the complexity of problems in hand and the limitation of experts’ cognition, uncertainties are generally inevitable in decision information. In the fuzzy linguistic approach, linguistic variables enable a manner to represent uncertain information which is close to human’s cognition. It is necessary that, in the traditional way of computing with words, the experts have to represent decision information by means of a certain term. However, this is quite difficult when facing complex types of uncertainties. Uncertain linguistic expressions, which include more than one possible term in a direct or indirect way, are more consistent with people’s language convention. On the basis of the existing models, this thesis presents some novel linguistic models to represent two types of uncertain linguistic expressions #ULEs# which conform to natural language conventions, and investigates the related fundamental theories and approaches for group decision making #GDM#. Specifically, the innovative works of this thesis are as follows: #1# Theoretically, two types of ULE models are presented, which are extended hesitant fuzzy linguistic term sets #EHFLTSs# and linguistic terms with weakened hedges #LTWHs#. The former focuses on ULEs which contains multiple terms, and possesses some flexible properties than those of hesitant fuzzy linguistic term sets. The latter takes use of a weakened hedge to express the degree of uncertainty of using a specific term. After systematically defining the syntax and semantics of virtual terms, the representational and computational models of the two types of ULEs are developed and thus can serve as the basis of applications. #2# A collection of GDM approaches are proposed based on the existing models and the novel models. When the decision information is expressed by EHFLTSs, a multi-groups decision making approach is presented at first based on the idea of information fusion. Then a two-stage GDM approach is developed on the basis of total orders of the set of EHFLTSs and how different orders affect final decisions is discussed. Moreover, a new category of linguistic preference relations #LPRs#, whose entries are EHFLTSs, are introduced. Some graph-based approaches are presented to measure the consistencies of the new category of LPRs and reduce them to the traditional LPRs. Furthermore, EHFLTSs are utilized to collect all the possible values of a missing entry of incomplete LPRs. Based on the consistency measures, some new algorithms for completing incomplete LPRs are developed. When the decision information takes the form of LTWHs, an approach for GDM with multi-granularity linguistic information is proposed at first, and then another category of LPRs, whose entries are LTWHs, are introduced. Based on fuzzy weighted graphs, the approaches for consistency checking and improving are investigated. Finally, the problems, whose information takes the form of multiple types of ULEs, are focused, and a linguistic aspiration-based approach and a stochastic approach are proposed for GDM. #3# Several case studies are proposed to demonstrate the effectiveness and analyze the strengths and weaknesses of the proposed GDM approaches. Especially, the necessity of introducing Big Data into the audit realm is discussed and a hierarchical model for evaluating Big Data-based auditing platforms is developed. As there are many qualitative attributes in the hierarchical model, one of the proposed approach is employed to implement the evaluations.
学术讨论
主办单位时间地点报告人报告主题
东南大学经济管理学院 2014年4月30日 东南大学经管院101 王海 Admissible Orders of Typical Hesitant Fuzzy Elements and Their Application in Ordered Information Fusion
解放军理工大学 2014年10月8日 解放军理工大学长江学者工作室 王海 Managing Multi-Granularity Linguistic Information in Qualitative Group Decision Making
东南大学经济管理学院 2014年12月3日 东南大学经管院101 王海 Interactive algorithms for improving incomplete linguistic preference relations based on consistency measures
解放军理工大学 2015年4月16日 解放军理工大学长江学者工作室 王海 Some consistency measures of extended hesitant fuzzy linguistic preference relations
东南大学经济管理学院 2016年5月16日 东南大学经管院101 任智亮 Dual Hesitant Fuzzy VIKOR Method for Multi-Criteria Group Decision Making Based on Fuzzy Measure and New Comparison Method
东南大学经济管理学院 2016年6月21日 东南大学经管院101 谢婉莹 Probabilistic Linguistic analytic hierarchy process and its application on the performance assessment of XIONGAN new area
解放军理工大学 2016年9月27日 解放军理工大学长江学者工作室 周蕾 Emergency Decision Making for Natural Disasters: An Overview
解放军理工大学 2015年11月4日 解放军理工大学长江学者工作室 俞珊 Derivatives and Differentials for Multiplicative Intuitionistic Fuzzy Information
     
学术会议
会议名称时间地点本人报告本人报告题目
International Conference on Sustainable Energy and Environmental Engineering 2015年10月25-26 泰国,曼谷 Linguistic Fuzzy Rough Sets for Multi Criteria Group Decision Making
河南省第23届高校数学教学与科研研讨会暨河南省第七届“数学博士论坛” 2016年7月30日至8月2日 河南新乡开元名都大酒店 On the role of fuzzy techniques in big data processing: Trends, challenges and opportunities
     
代表作
论文名称
Extended hesitant fuzzy linguistic term sets and their aggregation in group decision making
Admissible orders of typical hesitant fuzzy elements and their application in ordered information fu
Interactive algorithms for improving incomplete linguistic preference relations based on consistency
Multi groups decision making using intuitionistic-valued hesitant fuzzy information
Total orders of extended hesitant fuzzy linguistic term sets: Definitions, generations and applicati
Towards felicitous decision making: An overview on challenges and trends of Big Data
On the syntax and semantics of virtual linguistic terms for information fusion in decision making
An overview on the roles of fuzzy set techniques in big data processing: Trends, challenges and oppo
 
答辩委员会组成信息
姓名职称导师类别工作单位是否主席备注
孙宁 正高 教授 博导 南京审计大学
张韧 正高 教授 博导 国防科技大学
刘新旺 正高 教授 博导 东南大学
吴先华 正高 教授 博导 南京信息工程大学
钱钢 正高 教授 博导 南京审计大学
      
答辩秘书信息
姓名职称工作单位备注
杨勇 正高 教授 东南大学