Title :
Distances defined by Choquet integral
Author_Institution :
Toho Gakuen, Tokyo
Abstract :
Some important inequalities in functional analysis are shown for the non-additive measure theory. As an application of the inequalities, the distances between fuzzy sets, which are generalisations of well-known distances, are introduced.
Keywords :
functional analysis; fuzzy set theory; integral equations; Choquet integral; functional analysis; fuzzy set theory; nonadditive measure theory; Books; Extraterrestrial measurements; Functional analysis; Fuzzy set theory; Fuzzy sets; Image analysis; Image processing; Image recognition; Integral equations; Random variables; Choquet integral; Distances of fuzzy sets; Hausdorff metric; Non-additive measure; fuzzy measure;
Conference_Titel :
Fuzzy Systems Conference, 2007. FUZZ-IEEE 2007. IEEE International
Conference_Location :
London
Print_ISBN :
1-4244-1209-9
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2007.4295419
