DocumentCode
1752766
Title
AFS Structures and Concept Lattices
Author
Zhang, Lishi ; Su, Yi ; Liu, Xiaodong
Author_Institution
Res. Center of Inf. & Control, Dalian Univ. of Technol.
Volume
1
fYear
0
fDate
0-0 0
Firstpage
2541
Lastpage
2545
Abstract
Formal concept analysis has been discussed for decades, some new concept structures are formulated and studied. In order to cope with the data and fuzzy objects, AFS theory was proposed by Xiaodong Liu (Journal of Mathematical Analysis and Applications, vol. 217, 1998, Fuzzy Sets and Systems, vol.95, 1998). In this paper, first we define the product, semi-product and direct sum of AFS algebra. Then we prove that the product, semi-product and direct sum in concept lattice are only the special cases of the ones in AFS algebra. Thus we pave the theoretical ways to discuss the concept lattices with AFS theory
Keywords
algebra; fuzzy set theory; knowledge representation; lattice theory; AFS algebra; AFS structures; concept lattices; formal concept analysis; Algebra; Aquaculture; Artificial intelligence; Data analysis; Fuzzy cognitive maps; Fuzzy logic; Fuzzy sets; Information analysis; Lattices; Relational databases; AFS algebra; Formal concept; direct product; direct sum; semi-product;
fLanguage
English
Publisher
ieee
Conference_Titel
Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on
Conference_Location
Dalian
Print_ISBN
1-4244-0332-4
Type
conf
DOI
10.1109/WCICA.2006.1712820
Filename
1712820
Link To Document