A new class of decomposition integrals on finite spaces

0564670 - ÚTIA 2023 RIV US eng J - Journal Article
Mesiar, Radko - Li, J. - Ouyang, Y. - Šeliga, A.
A new class of decomposition integrals on finite spaces.
International Journal of Approximate Reasoning. Roč. 149, č. 1 (2022), s. 192-205. ISSN 0888-613X. E-ISSN 1873-4731
Institutional support: RVO:67985556
Keywords : Decomposition integral * Choquet integral * Concave integral * Concave integral * Pan-integral
OECD category: Applied mathematics
Impact factor: 3.9, year: 2022
Method of publishing: Limited access
http://library.utia.cas.cz/separaty/2022/E/mesiar-0564670.pdf https://www.sciencedirect.com/science/article/pii/S0888613X22001165?via%3Dihub

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.
Permanent Link: https://hdl.handle.net/11104/0337892