Title :
The mathematic tools describing large scale systems: fuzzy set, extension set, vague set, set pair analysis and their relation
Author :
Hua, Lin ; Chuanyi, Liu ; Zhongxiong, He
Author_Institution :
Northern Jiaotong Univ., Beijing, China
Abstract :
For the development of artificial intelligence, several new related theories have been formulated to describe fuzzy things, such as fuzzy set, rough set, extension set, vague set and set pair analysis. This paper provides a description of the concept of all set, and analyses the relationships of fuzzy set, rough set, extension set, vague set and set pair analysis.
Keywords :
fuzzy set theory; large-scale systems; rough set theory; set theory; all set; extension set; fuzzy set; large scale systems; rough set; set pair analysis; vague set; Automation; Fuzzy sets; Fuzzy systems; Helium; Large-scale systems; Mathematics;
Conference_Titel :
Intelligent Control and Automation, 2002. Proceedings of the 4th World Congress on
Print_ISBN :
0-7803-7268-9
DOI :
10.1109/WCICA.2002.1020871