DocumentCode
475967
Title
Some properties of operations on type-2 fuzzy sets
Author
Wang, Shuo ; Wang, Shu-ming ; Liu, Ying
Author_Institution
Key Lab. of Machine Learning & Comput. Intell., Hebei Univ., Baoding
Volume
1
fYear
2008
fDate
12-15 July 2008
Firstpage
576
Lastpage
582
Abstract
In this study, we study set operations on type-2 fuzzy sets. We first discuss join and meet operations of membership grades of type-2 fuzzy sets under left continuous t-norms and derive distributive law of type-2 fuzzy sets. Then, some properties on compositions of fuzzy relations is discussed. We derived that the distributive laws under union and composition of type-2 fuzzy relations is valid. An example shows the failure of distributive laws under intersection and composition.
Keywords
fuzzy set theory; distributive laws; join operations; meet operations; membership grades; type-2 fuzzy sets; Computational intelligence; Computer science; Cybernetics; Educational institutions; Fuzzy logic; Fuzzy sets; Fuzzy systems; Machine learning; Mathematics; Uncertainty; Composition; Fuzzy relation; Operation; Triangular norm; Type-2 fuzzy set;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics, 2008 International Conference on
Conference_Location
Kunming
Print_ISBN
978-1-4244-2095-7
Electronic_ISBN
978-1-4244-2096-4
Type
conf
DOI
10.1109/ICMLC.2008.4620471
Filename
4620471
Link To Document