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
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;
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
DOI :
10.1109/ICMLC.2008.4620471
