基于扩展概率语言词集的不确定多准则决策方法与应用研究

Extended probabilistic linguistic term sets (EPLTSs) are proposed on the basis of the probabilistic linguistic term sets (PLTSs) with respect to the existing situation where the sum of probability is greater than one in dealing with actual investigation data, and they are a general representation of the main existing linguistic information. So, the EPLTSs are more general, and they are also the latest development direct in the fields of linguistic decision making and computing with words. This project bears cutting–edge research and important theoretical and practical significance as well. Based on the fuzzy mathematics, probability statistics, computer simulation, operations research, evidence theory, intelligent computing and so on, this project will do the following researches.(1) The basic theory of the EPLTSs, for example, operational rules, information entropy, comparison methods, etc., and the representation and transformation methods of multi-granularity unbalanced extended probabilistic linguistic information; (2) Some information aggregation operators in different types based on the EPLTSs, and their related properties and special cases; (3) the extension of the traditional multi-criteria decision making methods to the EPLTSs, and the multi-criteria decision making models and methods based on the EPLTSs with incomplete criteria information (such as partially or completely unknown weight information, partially unknown criteria values, less than or greater than one in the sum of probability, etc.) , and with the special relationship among criteria (such as correlation relations or partial correlation relations, prioritized relations , etc.); (4) the extension of the EPLTSs and their applications, and the development of government service satisfaction evaluation system. The purpose of this study will establish the theories about the EPLTSs, and multi-criteria decision making models, methods and applications based on the EPLTSs, and will enrich and improve the theories and applications of the EPLTSs and uncertain decision-making.

针对大量调查数据处理中存在概率和大于1的情况，在概率语言词集基础上提出扩展概率语言词集，它是现有主要语言信息的一般化，更具通用性，也是语言决策与词计算领域最新发展方向，研究具有前沿性。本课题将基于模糊数学、概率统计、计算机仿真、运筹学、证据理论和智能计算等方法，研究：①扩展概率语言词集运算规则、信息熵、大小比较等基本理论和多粒度非平衡扩展概率语言词的表示与转化方法；②基于扩展概率语言词集不同类型信息集成算子及相关特性和特例；③基于扩展概率语言词集多准则决策方法的扩展、准则信息不完全(如权重信息部分或完全未知，准则值有部分残缺、概率和小于或大于1等)和准则间具有相互关系(如关联或部分关联关系、优先关系等)的多准则决策模型与方法；④扩展概率语言词集的不同延伸及应用，开发政府服务满意度评价系统。本研究将建立扩展概率语言词集理论及相应的多准则决策方法与应用，丰富和完善模糊集及不确定决策理论与应用。

针对大量调查数据处理中存在概率和大于1的情况，在概率语言词集基础上提出扩展概率语言词集，它是现有主要语言信息的一般化，更具通用性，也是语言决策与词计算领域最新发展方向，研究具有前沿性。本课题基于模糊数学、概率统计、计算机仿真、运筹学、证据理论和智能计算等方法，研究：①扩展概率语言词集运算规则、信息熵、大小比较等基本理论和多粒度非平衡扩展概率语言词的表示与转化方法；②基于扩展概率语言词集不同类型信息集成算子及相关特性和特例；③基于扩展概率语言词集多准则决策方法的扩展、准则信息不完全(如权重信息部分或完全未知，准则值有部分残缺、概率和小于或大于1等)和准则间具有相互关系(如关联或部分关联关系、优先关系等)的多准则决策模型与方法；④扩展概率语言词集的不同延伸及应用。本研究建立了扩展概率语言词集理论及相应的多准则决策方法与应用，丰富和完善了模糊集及不确定决策理论与应用。