A new class of decomposition integrals on finite spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F22%3A00564670" target="_blank" >RIV/67985556:_____/22:00564670 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0888613X22001165?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0888613X22001165?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ijar.2022.08.004" target="_blank" >10.1016/j.ijar.2022.08.004</a>

Result language
angličtina
Original language name
A new class of decomposition integrals on finite spaces
Original language description
A new type of decomposition integral is introduced by using a family of decomposition integrals based on the collections relating to partitions and maximal chains of sets. This new integral extends the Lebesgue integral, and it is different from those well-known decomposition integrals, such as the Choquet, concave, pan-, Shilkret integrals and PCintegral. In the structure of a lattice on the class of decomposition integrals, the introduced decomposition integral is between the Choquet integral and the concave integral, and also between the pan-integral and the concave integral, and it is a lower bound of PC-integral. The coincidences among several well-known integrals and this new integral are also shown.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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