Title :
The chain variation of non-additive set functions
Author :
Zhang, Qiang ; Liu, Baoding ; Ma, Guozhong
Author_Institution :
Coll. of Traffic & Transp., Northern Jiaotong Univ., Beijing, China
Abstract :
We discuss some properties of the chain variations for non-additive set functions, such as the null-additivity, exhaustivity, order continuity and continuity. The Jordan decomposition theorem is also presented and proved for signed lower semicontinuous fuzzy measures.
Keywords :
fuzzy set theory; Jordan decomposition theorem; chain variation; exhaustivity; nonadditive set functions; null-additivity; order continuity; semicontinuous fuzzy measures; Educational institutions; Equations; Extraterrestrial measurements; Fuzzy sets; Structural rings; Transportation;
Conference_Titel :
Fuzzy Systems Conference Proceedings, 1999. FUZZ-IEEE '99. 1999 IEEE International
Conference_Location :
Seoul, South Korea
Print_ISBN :
0-7803-5406-0
DOI :
10.1109/FUZZY.1999.793091
