0442006 20240103205832.220150415235959.9 000345440400002 84912150161 10.1016/j.fss.2014.05.003 9 s. P cav_un_epca*02566420165-01142591 (2015)3-11Elsevier Choquet integral Decomposition integral Superdecomposition integral Convex integral cav_un_auth*0101163 Mesiar Radko Ekonometrie Department of Econometrics E E UTIA-B Department of Econometrics S 60 Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0205590 Li J. CN K 20 cav_un_auth*0280491 Pap E. RS 20 http://library.utia.cas.cz/separaty/2015/E/mesiar-0442006.pdf GAP402/11/0378 GA ČR cav_un_auth*0273630 This study introduces and discusses a new class of integrals based on superdecompositions of integrated functions, including an analysis of their relationship with decomposition integrals, which were introduced recently by Even and Lehrer. The proposed superdecomposition integrals have several properties that are similar or dual with respect to decomposition integrals, but they also have some significant differences. The convex integral is obtained by considering all possible superdecompositions with no constraints on the applied sets, which can be treated as the greatest convex homogeneous functional that is bounded from above by the measure we consider. The relationship with the universal integral of Klement et al. is also discussed. Finally, some possible generalizations are outlined. 2016 BA 3 RVO:67985556 http://hdl.handle.net/11104/0246075 S COMPUTERSCIENCE.THEORY&METHODS|MATHEMATICS.APPLIED|STATISTICS&PROBABILITY 2.376 0.729 999.9 0.00771 0.555 13316 1.354 Q1 1.770 210 Q1 42.575 90.9 Q3 Q1* 95.472 2015 84912150161 SCOPUS 000345440400002 WOS cav_un_epca*0256642 Fuzzy Sets and Systems 0165-0114 1872-6801 Roč. 259 č. 1 2015 3 11 Elsevier