Title :
Choquet integral with respect to a regular non-additive measure
Author :
Narukawa, Yasuo ; Murofushi, Toshiaki
Author_Institution :
Kunitachi Campus, Tokyo, Japan
Abstract :
In this paper, some properties of two types of regular non-additive measure are studied. The various regularities are arranged and their correlation is clarified. The properties reflected by the Choquet integral with respect to a regular fuzzy measure are stated. The representation theorem of some functional and the approximation theorem of Choquet integral of integrable function are presented.
Keywords :
artificial intelligence; decision making; fuzzy set theory; integral equations; Choquet integral; regular non-additive measure; Additives; Artificial intelligence; Decision theory; Extraterrestrial measurements; Fuzzy sets; Game theory; Topology;
Conference_Titel :
Fuzzy Systems, 2004. Proceedings. 2004 IEEE International Conference on
Print_ISBN :
0-7803-8353-2
DOI :
10.1109/FUZZY.2004.1375786
