0576153 20240402214505.920231005235959.9 85161292402 001016582600001 10.1016/j.fss.2023.108577 9 s. P cav_un_epca*02566420165-0114467Elsevier monotone measure (M)-property weak (M)-property Choquet integral Pan integral cav_un_auth*0348640 Li J. CN cav_un_auth*0101163 Mesiar Radko UTIA-B Ekonometrie Department of Econometrics E E Department of Econometrics 25 Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0258953 Ouyang Y. CN K cav_un_auth*0302586 Wu L. CN http://library.utia.cas.cz/separaty/2023/E/mesiar-0576153.pdf https://www.sciencedirect.com/science/article/pii/S016501142300218X?via%3Dihub We introduce the concept of weak (M)-property of a monotone measure and prove that this condition is not only sufficient, but also necessary for the coincidence of the pan-integral and the Choquet integral on monotone measure spaces. The previous results we obtained are substantially improved. An open problem concerning the weak (M)-property is raised. WOS BA 10000 10100 10101 2024 4 RVO:67985556 https://hdl.handle.net/11104/0346455 S 08577 Article Computer Science Theory Methods|Mathematics Applied|Statistics Probability C COMPUTERSCIENCE.THEORY&METHODS|MATHEMATICS.APPLIED|STATISTICS&PROBABILITY 3.1 0.7 20.1 0.00597 0.645 17604 191 1.009 36.98 3.34 2550 Q1 2.500 346 Q1 87.7 Q3 Q2 1.76 Q1 95.9 2023 85161292402 SCOPUS PUBMED 001016582600001 WOS cav_un_epca*0256642 Fuzzy Sets and Systems 467 1 2023 0165-0114 1872-6801 Elsevier