0564670 20230321162522.120221129235959.9 85136662109 000852046200003 10.1016/j.ijar.2022.08.004 14 s. P cav_un_epca*02567740888-613X1491 (2022)192-205Elsevier Decomposition integral Choquet integral Concave integral Concave integral Pan-integral cav_un_auth*0101163 Mesiar Radko UTIA-B Ekonometrie Department of Econometrics E E Department of Econometrics 30 Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0348640 Li J. CN cav_un_auth*0258953 Ouyang Y. CN cav_un_auth*0413269 Šeliga A. SK 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. WOS BA 10000 10100 10102 2023 4 RVO:67985556 https://hdl.handle.net/11104/0337892 S 3+4 Article Computer Science Artificial Intelligence C COMPUTERSCIENCE.ARTIFICIALINTELLIGENCE 3.5 0.9 5.9 0.00472 0.721 5449 0.978 3.400 167 Q2 53.4 Q3 Q2 0.73 Q2 53.4 2022 85136662109 SCOPUS PUBMED 000852046200003 WOS cav_un_epca*0256774 International Journal of Approximate Reasoning 0888-613X 1873-4731 Roč. 149 č. 1 2022 192 205 Elsevier