Title :
The Inclusion Variation of Non-additive Set Functions on T-Tribe
Author :
Tan, Chunqiao ; Zhang, Qiang ; Hu, Wangbin
Author_Institution :
Acad. of Mil. Transp., Tianjin
Abstract :
Inclusion variation on Tinfin-tribe play an important role in Tinfin-measures and fuzzy games theory, where they were used for additive set functions on Tinfin-tribe. In this paper classical variations theory is extended to non-additive set functions on T-tribe, after defining the inclusion variation, we investigate its some properties in detailed, such as, the (null-) null-additivity, exhaustivity, order continuity, continuity from the left and so on. As to the inclusion variation on Tinfin-tribe, an alternative proof of the Jordan decomposition theorem is given. Some relative results about inclusion variation in classical measure theory are generalized.
Keywords :
formal logic; fuzzy set theory; game theory; theorem proving; Jordan decomposition theorem; Tinfin-measures; Tinfin-tribe; classical measure theory; fuzzy games theory; inclusion variation; nonadditive set functions; Additives; Boundary conditions; Fuzzy set theory; Fuzzy sets; Game theory; History; Military equipment; Multivalued logic; Road transportation; Technology management;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2007. FSKD 2007. Fourth International Conference on
Conference_Location :
Haikou
Print_ISBN :
978-0-7695-2874-8
DOI :
10.1109/FSKD.2007.570