Decomposition approaches to integration without a measure

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F16%3A00457408" target="_blank" >RIV/67985556:_____/16:00457408 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.fss.2015.07.014" target="_blank" >http://dx.doi.org/10.1016/j.fss.2015.07.014</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2015.07.014" target="_blank" >10.1016/j.fss.2015.07.014</a>

Result language
angličtina
Original language name
Decomposition approaches to integration without a measure
Original language description
we discuss a general approach to integration based on a given decomposition system equipped with a weighting function, and a decomposition of the integrated function. We distinguish two type of decompositions: sub-decomposition based integrals (in economics linked with optimization problems to maximize the possible profit) and super-decomposition based integrals (linked with costs minimization). We provide several examples (both theoretical and realistic) to stress that our approach generalizes that of Even and Lehrer (2014) [3] and also covers problems of linear programming and combinatorial optimization. Finally, we introduce some new types of integrals related to optimization tasks.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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