DocumentCode
2910242
Title
Measures of uncertainty for type-2 fuzzy sets
Author
Hamrawi, Hussam ; Coupland, Simon
Author_Institution
Center for Comput. Intell., De Montfort Univ., Leicester, UK
fYear
2010
fDate
8-10 Sept. 2010
Firstpage
1
Lastpage
6
Abstract
The Extension Principle based on alpha-cuts plays a pivotal role in many applications of type-1 fuzzy sets. We recently defined an alpha-based extension principle for type-2 fuzzy sets. In this paper we investigate the use of the alpha-extension principle to define uncertainty measures for type-2 fuzzy sets. We investigate cardinality, similarity, and subsethood for type-2 fuzzy sets and demonstrate when the alpha-plane representation can be used.
Keywords
fuzzy set theory; alpha-based extension principle; alpha-plane representation; type-1 fuzzy sets; type-2 fuzzy sets; uncertainty measurement; Equations; Fuzzy logic; Fuzzy sets; Indexes; Measurement uncertainty; Semantics; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
Computational Intelligence (UKCI), 2010 UK Workshop on
Conference_Location
Colchester
Print_ISBN
978-1-4244-8774-5
Electronic_ISBN
978-1-4244-8773-8
Type
conf
DOI
10.1109/UKCI.2010.5625592
Filename
5625592
Link To Document