直觉模糊多粒度粗糙集及其应用研究

项目名称： 直觉模糊多粒度粗糙集及其应用研究

项目编号： No.61473157

项目类型： 面上项目

立项/批准年度： 2015

项目学科： 其他

项目作者： 黄兵

作者单位： 南京审计大学

项目金额： 80万元

中文摘要： 直觉模糊粗糙集和多粒度粗糙集是近年来国际粗糙集研究领域的两个崭新方向，而二者的结合研究尚未见报道。本课题以直觉模糊多粒度空间为对象，直觉模糊粗糙集、覆盖粗糙集、多粒度粗糙集和三支决策粗糙集为基础，系统研究直觉模糊多粒度空间的不确定性度量、粗糙集模型、知识约简及其应用问题。主要内容有：（1）研究直觉模糊多粒度空间及知识不确定性度量，以揭示直觉模糊情形下多粒度空间中知识的的表现形式和本质特征；（2）研究直觉模糊多粒度粗糙集和覆盖直觉模糊多粒度粗糙集及知识约简，以实现直觉模糊环境下多粒度空间的知识获取；（3）研究直觉模糊多粒度三支决策粗糙集，以进一步丰富和发展直觉模糊条件下的三支决策理论；（4）研究基于直觉模糊多粒度三支决策方法的社保信息系统安全审计风险判断方法，不仅可增强直觉模糊多粒度粗糙集理论的实用性，而且可为社保信息系统安全审计风险的有效判断提供更为坚实的理论依据和更为合理有效的决策支持。

中文关键词： 粒计算；粗糙集；直觉模糊粗糙集；多粒度粗糙集；三支决策粗糙集

英文摘要： Intuitionistic fuzzy rough set and multigranulation rough set are two important new directions in rough set domain. However, the combination of these two models is rarely researched. Intuitionistic fuzzy multigranulation space-oriented, this project systematically researches uncertainty measures, rough set models, knowledge reductions and their application in intuitionistic fuzzy multigranulation space, based on intuitionistic fuzzy sets, covering rough sets, multigranulation rough sets, and three-way theoretic rough sets. The content of this project includes: (1) To discover the representation and essence of knowledge under intuitionistic fuzzy conditions, intuitionistic fuzzy multigranulation space and its uncertainty measures of knowledge are researched; (2) To realize the knowledge acquisition of intuitionistic fuzzy multigranulation space, we study intuitionistic fuzzy multigranulation rough sets and their knowledge reductions; (3) To further develop three-way decision method on the intuitionistic fuzzy condition, intuitionistic fuzzy multigranulation three-way decision rough sets are examined; (4) The approach of risk judgment on social security information systems security auditing based on the proposed intuitionistic fuzzy multigranulation three-way decision rough sets is presented, which can reinforce the practicability of intuitionistic fuzzy multigranulation rough sets, and can provided decision support to valid risk judgment on social security information systems security auditing.

英文关键词： granular computing;rough set;intuitionistic fuzzy rough set;multigranulation rough set;three-way decision rough sets