DocumentCode
1987392
Title
The EI algebra representations of fuzzy concepts
Author
Xiaodong, Liu ; Qingling, Zhang
Author_Institution
Dept. of Math. & Phys., Dalian Maritime Univ., China
Volume
4
fYear
2002
fDate
2002
Firstpage
2968
Abstract
In many fuzzy systems, the membership functions of fuzzy concepts are obtained by experts´ experiences. Different experts may have different membership functions for the same fuzzy concept. In this paper, the mathematical structures of fuzzy concepts are studied by the EI algebra over some axiomatic fuzzy set (AFS) structures. It is proved that any fuzzy concepts of the finite universe of discourse are the EI representations of simple concepts. By applying the AFS theory, membership functions of the fuzzy concepts can be obtained by the unitive algorithms according to the database.
Keywords
Boolean algebra; fuzzy set theory; matrix algebra; AFS algebra; Boolean matrix; EI algebra representations; axiomatic fuzzy sets; fuzzy set theory; membership functions; Algebra; Automation; Databases; Educational institutions; Fuzzy systems; Intelligent control; Mathematics; Matrices; Physics;
fLanguage
English
Publisher
ieee
Conference_Titel
Intelligent Control and Automation, 2002. Proceedings of the 4th World Congress on
Print_ISBN
0-7803-7268-9
Type
conf
DOI
10.1109/WCICA.2002.1020071
Filename
1020071
Link To Document