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Shape Preserving Multi Approximation by Comonotone Functions

International Journal of Mathematics and Computer Science
We prove a multi direct comonotone theorem for the comonotone approximation of piecewise monotone functions via multi ...
Mayada Kareem   +2 more
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A symmetric conjugate condition for the representation of comonotonically additive and monotone functionals

Fuzzy Sets and Systems, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Masiha, H. P., Rahmati, M.
openaire   +1 more source

Representation of Comonotonically Additive Functional by Choquet Integral

2000
This paper discusses the functional I defined on the class of continuous functions K, that is comonotonically additive and monotone. The extension of the domain of the functional and the extension I* of the functional are shown. It is discussed that the condition under which the functional I* can be represented by one Choquet integral.
Yasuo Narukawa   +2 more
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Law invariant concave utility functions and optimization problems with monotonicity and comonotonicity constraints

Statistics & Risk Modeling, 2006
SUMMARY This paper considers a class of one dimensional calculus of variations problems with monotonicity and comonotonicity constraints arising in economic and financial models where law invariant concave criteria (or law invariant convex measures of risk) are used.
Dana, Rose-Anne, Carlier, Guillaume
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Comonotone approximation of \(|X|\) by rational functions

1983
It is shown that the rational approximant r(x)\(\in {\mathcal R}^ n_ n[- 1,1]\) introduced by Newman satisfying \(| | x| -r(x)| \leq 3\bar e^{\sqrt{n}}\) is actually a comonotone approximation of \(| x|\) on [-1,1] in that r'(x)\(\leq 0\) for \(x\in [-1,0]\) and r'(x)\(\geq 0\) for \(x\in [0,1]\). Furthermore, it is shown that the result of Vyaceslavov
Iliev, G. L., Optiz, U.
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On comonotone k-maxitive aggregation functions

Fuzzy Sets and Systems, 2023
Ľubomíra Horanská, Zdenko Takáč
openaire   +1 more source

Riesz Type Integral Representations for Comonotonically Additive Functionals

2011
The Daniell-Stone type representation theorem of Greco leads us to another proof and an improvement of the Riesz type representation theorem of Sugeno, Narukawa, and Murofushi for comonotonically additive, monotone functionals.
openaire   +1 more source

Composition and functions of bacterial membrane vesicles

Nature Reviews Microbiology, 2023
Masanori Toyofuku   +2 more
exaly  

Gene regulation by long non-coding RNAs and its biological functions

Nature Reviews Molecular Cell Biology, 2020
Luisa Statello   +2 more
exaly  

The expanding regulatory mechanisms and cellular functions of circular RNAs

Nature Reviews Molecular Cell Biology, 2020
Ling-Ling Chen
exaly  

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