Results 51 to 60 of about 101 (91)

A Riesz type integral representation theorem of comonotonically additive functionals

Journal of Japan Society for Fuzzy Theory and Intelligent Informatics, 2011
KAWABE, Jun, SOMA, Tadahiro
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Comonotonically additive functionals on locally compact spaces

Journal of Japan Society for Fuzzy Theory and Systems, 1998
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Conditions for Choquet integral representation of the comonotonically additive and monotone functional

Conditions for Choquet integral representation of the comonotonically additive and monotone functional
identifier:oai:t2r2.star.titech.ac.jp ...
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Representation of Comonotonically Additive Functional (Applied Functional Analysis)

Representation of Comonotonically Additive Functional (Applied Functional Analysis)
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CHOQUET INTEGRAL REPRESENTATION OF COMONOTONICALLY ADDITIVE FUNCTIONALS (Mathematical Studies on Independence and Dependence Structure : A Functional Analytic Point of View)

CHOQUET INTEGRAL REPRESENTATION OF COMONOTONICALLY ADDITIVE FUNCTIONALS (Mathematical Studies on Independence and Dependence Structure : A Functional Analytic Point of View)
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Comonotone approximation of periodic functions

Journal of Approximation Theory
Denote by \(\widetilde{C}\) the space of continuous \(2\pi\)-periodic functions \(f\) endowed with the uniform norm \(\|f\| := \max\limits_{x\in \mathbb{R}} |f(x)|\) and by \(\omega_m (f,t)\) the \(m\)-th modulus of smoothness of \(f\). Furthermore, denote by \(\widetilde{C}^r\) the subspace of \(r\)-times continuously differentiable functions \(f\in ...
D Leviatan
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On comonotone k-maxitive aggregation functions

Fuzzy Sets and Systems, 2023
Ľubomíra Horanska, Zdenko Takac
exaly   +2 more sources

The order of comonotone approximation of differentiable periodic functions

Ukrainian Mathematical Bulletin, 2021
Let $\Dely$ be a set of all $2\pi$-periodic functions $f$ that are continuous on the real axis $R$\ and\ change their monotonicity at various fixed points $y_{i}\in\lbrack-\pi,\pi),\ i=1,...,2s,\ s\in N$ (i.e., there is a set $Y:=\{y_{i}\}_{i\in\mathbb{Z}}$ of points $y_{i}=y_{i+2s}+2\pi$ on $R$ such that $f$ are nondecreasing on $[y_{i},y_{i-1}]$ if ...
Dzyubenko, German, Yushchenko, Lyudmyla
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Boundedness and symmetry of comonotonically additive functionals

Fuzzy Sets and Systems, 2001
A relationship between the Choquet integral and comonotically additive and monotone functionals \(I\) is reexamined. First, some necessary and sufficient conditions are given for the boundedness of \(I\) in terms of Narukawa's fuzzy measures. Then there is proved that \(I\) is symmetric if and only if it can be represented by the Šipoš integral.
Yasuo Narukawa, Toshiaki Murofushi, Michio Sugeno   +2 more
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Extension and representation of comonotonically additive functionals

Fuzzy Sets and Systems, 2001
Two real functions \(f\), \(g\) are comonotonic, if \(f(x_1)< f(x_2)\) implies \(g(x_1)\leq g(x_2)\) for any \(x_1\), \(x_2\). The set \(K\) of all functions with compact support in a locally compact Hausdorff space is considered. A real-valued functional \(I\) on \(K\) is called comonotonically additive if \(I(f+ g)= I(f)+ I(g)\) whenever \(f,g\in K\)
Yasuo Narukawa, Toshiaki Murofushi, Michio Sugeno   +2 more
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