A Rough Set Describe Method for Real Function Continuous Theorem

摘要：

In this paper, a rough set describes method for real functions continuous theorem (the monotone convergence theorem, the Bollzano-Weierstrass theorem, and the nested interval theorem) is proposed. The method describes the process of using real number set infimum and supremum is a precise interval, which is, consists of the lower-approximation and the upper-approximation of rough set. This method will widely to the interval series convergence related to problems. These conclusions are helpful for people to understand the essence of rough set theory and rough set method. It provides the new mathematical theory and technique in solving real Junction continuous problem.

关键词： Rough set theory real continuous functions lower approximation upper approximation Junction continuous theorem interval series convergence iterative method.

作者: Yongquan Zhou Yindong Yang Licheng Jiao

作者单位: College of Computer and Information Science, Guangxi University for Nationalities Nanning 530006, Ch College of Computer and Electron Information Guangxi University Nanning 530003, China Institute of Intelligence Information Processing Xidian University Xian 710071, China

会议类型: 国际会议

会议名称: Firth IEEE International Conference on Cognitive Informatics(第五届认知信息国际会议)

会议地点: 北京

会议语种:英文

页码: 314-319

在线出版日期: 2006-07-17（万方平台首次上网日期，不代表论文的发表时间）