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A new class of decomposition integrals on finite spaces
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SYSNO ASEP 0564670 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title A new class of decomposition integrals on finite spaces Author(s) Mesiar, Radko (UTIA-B) RID, ORCID
Li, J. (CN)
Ouyang, Y. (CN)
Šeliga, A. (SK)Number of authors 4 Source Title International Journal of Approximate Reasoning. - : Elsevier - ISSN 0888-613X
Roč. 149, č. 1 (2022), s. 192-205Number of pages 14 s. Publication form Print - P Language eng - English Country US - United States Keywords Decomposition integral ; Choquet integral ; Concave integral ; Concave integral ; Pan-integral Subject RIV BA - General Mathematics OECD category Applied mathematics Method of publishing Limited access Institutional support UTIA-B - RVO:67985556 UT WOS 000852046200003 EID SCOPUS 85136662109 DOI 10.1016/j.ijar.2022.08.004 Annotation 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2023 Electronic address https://www.sciencedirect.com/science/article/pii/S0888613X22001165?via%3Dihub
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