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Boundedness and symmetry of comonotonically additive functionals

✍ 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

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✦ 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 ) ‘ ∞; - I (X ) ‘ ∞ and + I (X ) = -I (X ).


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