DocumentCode
635853
Title
Type-2 fuzzy numbers and operations by F-transform
Author
Stefanini, Luciano ; Sorini, Laerte
Author_Institution
Univ. of Urbino Carlo Bo, Urbino, Italy
fYear
2013
fDate
24-28 June 2013
Firstpage
1050
Lastpage
1055
Abstract
The fuzzy transform setting (F-transform) is proposed as a tool for representation and approximation of type-2 fuzzy numbers; a type-2 fuzzy number is represented as a particular fuzzy-valued function and it is expressed in terms of a two-dimensional F-transform where the first dimension represents the universe domain and the second dimension represents the membership domain. Operators on two dimensional F-transform are then proposed to approximate arithmetic operations with type-2 fuzzy numbers.
Keywords
arithmetic; fuzzy set theory; arithmetic operations; fuzzy transform setting; fuzzy-valued function; membership domain; two-dimensional F-transform; type-2 fuzzy numbers approximation; type-2 fuzzy numbers representation; universe domain; Fuzzy Arithmetic; Fuzzy Numbers; Fuzzy Transform; Type-2 Fuzzy Numbers;
fLanguage
English
Publisher
ieee
Conference_Titel
IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013 Joint
Conference_Location
Edmonton, AB
Type
conf
DOI
10.1109/IFSA-NAFIPS.2013.6608545
Filename
6608545
Link To Document