𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Signed integral representations of comonotonic additive functionals

✍ Scribed by Simone Cerreia-Vioglio; Fabio Maccheroni; Massimo Marinacci; Luigi Montrucchio

Book ID
113721434
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
274 KB
Volume
385
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Regular fuzzy measure and representation
Regular fuzzy measure and representation of comonotonically additive functional
✍ Yasuo Narukawa; Toshiaki Murofushi; Michio Sugeno πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 110 KB

This paper discusses the functional I deΓΏned on the class of continuous functions, which is comonotonically additive and monotone. The notion of regular fuzzy measure is proposed and the uniqueness theorem of regular fuzzy measure is shown. It is also shown that I can be represented by the di erence

Boundedness and symmetry of comonotonica
Boundedness and symmetry of comonotonically additive functionals
✍ Yasuo Narukawa; Toshiaki Murofushi; Michio Sugeno πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 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 ) ‘ ∞; - I (X ) ‘ ∞ and + I (X ) = -I (X ).