Title :
A Rough Set Describe Method for Real Function Continuous Theorem
Author :
Zhou, Yongquan ; Yang, Yindong ; Jiao, Licheng
Author_Institution :
Coll. of Comput. & Inf. Sci., Guangxi Univ. for Nationalities, Nanning
Abstract :
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 function continuous problem
Keywords :
functions; rough set theory; Bollzano-Weierstrass theorem; lower approximation; monotone convergence theorem; nested interval theorem; real function continuous theorem; rough set describe method; rough set theory; upper approximation; Algebra; Approximation algorithms; Convergence; Educational institutions; Electrons; Information processing; Information science; Iterative methods; Rough sets; Set theory; Rough set theory; function continuous theorem; interval series convergence; iterative method; lower approximation; real continuous functions; upper approximation;
Conference_Titel :
Cognitive Informatics, 2006. ICCI 2006. 5th IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
1-4244-0475-4
DOI :
10.1109/COGINF.2006.365513
