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Boundedness and continuity of additive and convex functionals

โœ Scribed by R. Ger; Z. Kominek

Publisher
Springer
Year
1989
Tongue
English
Weight
300 KB
Volume
37
Category
Article
ISSN
0001-9054

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Boundedness and symmetry of comonotonica
Boundedness and symmetry of comonotonically additive functionals
โœ Yasuo Narukawa; Toshiaki Murofushi; Michio Sugeno ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 115 KB

The relations between a comonotonically additive and monotone functional I and the induced fuzzy measures + I and - I are discussed. We present a necessary and su cient condition of the functional I for + I (X ) ยก โˆž; - I (X ) ยก โˆž and + I (X ) = -I (X ).