SOME PROPERTIES OF OPERATIONS ON TYPE-2 FUZZY SETS
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.
Composition Fuzzy relation Operation Type-2 fuzzy set Triangular norm
SHUO WANG SHU-MING WANG YING LIU
Key Lab.of Machine Learning and Computational Intelligence, College of Mathematics and Computer Science, Hebei University, Baoding, 071002, China
国际会议
2008 International Conference on Machine Learning and Cybernetics(2008机器学习与控制论国际会议)
昆明
英文
576-582
2008-07-12（万方平台首次上网日期，不代表论文的发表时间）