Journal of Japan Society for Fuzzy Theory and Intelligent Informatics
Online ISSN : 1881-7203
Print ISSN : 1347-7986
ISSN-L : 1347-7986
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A Riesz type integral representation theorem of comonotonically additive functionals
Jun KAWABE, Tadahiro SOMA
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Keywords: nonadditive measure, comonotonic additivity, Choquet integral, Riesz type integral representation theorem
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2011 Volume 23 Issue 4 Pages 592-595

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Abstract
The famous Greco theorem (G.H. Greco, Rend. Sem. Mat. Univ. Padova, 66, 21-42, 1982) and our new method of proof lead us to an improvement and another proof of Sugeno-Narukawa-Murofushi's Riesz type integral representation theorem (M. Sugeno et al., Fuzzy Sets and Systems, 99, 205-211, 1998) for comonotonically additive functionals.
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© 2011 Japan Society for Fuzzy Theory and Intelligent Informatics
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