DocumentCode
2418661
Title
The Extended Sup-Star Composition for Type-2 Fuzzy Sets Made Simple
Author
John, Ranjith ; Mendel, J. ; Carter, Jenny
Author_Institution
De Montfort Univ., Leicester
fYear
0
fDate
0-0 0
Firstpage
1441
Lastpage
1445
Abstract
In this paper we introduce embedded type-2 fuzzy relations and provide an alternative proof of the extended sup-star composition that makes use of these embedded type-2 fuzzy relations. The paper commences by giving a background to some terms and definitions used in type-2 fuzzy logic. Definitions are given for a type-2 fuzzy set, a secondary membership function and an embedded set. Additionally the representation theorem is described along with an explanation of type-2 fuzzy relations. These preliminary sections provide the basis for the remainder of the paper, which introduces the concept of embedded fuzzy relations and makes use of this in order to provide an alternative proof of the extended sup-star composition.
Keywords
fuzzy logic; fuzzy set theory; alternative proof; embedded type-2 fuzzy relation; extended sup-star composition; representation theorem; type-2 fuzzy logic; type-2 fuzzy sets; Computational intelligence; Fuzzy logic; Fuzzy sets; Image processing; Signal processing; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems, 2006 IEEE International Conference on
Conference_Location
Vancouver, BC
Print_ISBN
0-7803-9488-7
Type
conf
DOI
10.1109/FUZZY.2006.1681898
Filename
1681898
Link To Document