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 comonotonically additive functionals
β Scribed by Yasuo Narukawa; Toshiaki Murofushi; Michio Sugeno
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 115 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
β¦ Synopsis
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 ) Β‘ β; - I (X ) Β‘ β and + I (X ) = -I (X ).
π SIMILAR VOLUMES
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