DocumentCode
2314012
Title
A novel alpha-cut representation for type-2 fuzzy sets
Author
Hamrawi, Hussam ; Coupland, Simon ; John, Robert
Author_Institution
Center for Comput. Intell., De Montfort Univ., Leicester, UK
fYear
2010
fDate
18-23 July 2010
Firstpage
1
Lastpage
8
Abstract
Alpha-cuts and the extension principle form a methodology for extending mathematical concepts from crisp sets to fuzzy sets. They have been applied to many operations, and have also been extended to interval valued fuzzy sets. Recently, some researchers defined new representations of type-2 fuzzy sets, namely, the alpha-plane representation and the zSlice representation. In this paper we investigate an alternative representation utilising alpha-cuts and the extension principle for interval valued fuzzy sets and type-2 fuzzy sets.
Keywords
fuzzy set theory; graph theory; alpha-cut representation; fuzzy set; zSlice representation; Communities; Equations; Fuzzy logic; Fuzzy sets; Mathematical model; Three dimensional displays; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems (FUZZ), 2010 IEEE International Conference on
Conference_Location
Barcelona
ISSN
1098-7584
Print_ISBN
978-1-4244-6919-2
Type
conf
DOI
10.1109/FUZZY.2010.5584783
Filename
5584783
Link To Document