Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10323872 | Fuzzy Sets and Systems | 2005 | 12 Pages |
Abstract
There is obtained a representation of a comonotone-â¯â¨-additive, weak â¯â§-homogeneous and monotone functional L (defined on the class of functions on finite set) as a symmetric maximum of two Sugeno integrals. This representation is a generalization of certain previous results, which are useful for cumulative prospect theory. As a consequence of a result on general fuzzy rank and sign-dependent functionals considered on functions defined on the infinitely countable basic set X it is obtained that the symmetric Sugeno integral is comonotone-â¯â¨-additive functional on the class of functions with finite support.
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Authors
Endre Pap, Biljana P. MihailoviÄ,