0559712 20230324085040.020220805235959.9 85132873051 000833300000007 10.1016/j.ijar.2022.06.003 12 s. P cav_un_epca*02567740888-613X1481 (2022)162-173Elsevier Aggregation function Choquet integral Discrete fuzzy integral Hypergraph of survival function Rectangle mapping cav_un_auth*0101163 Mesiar Radko UTIA-B Ekonometrie Department of Econometrics E E Department of Econometrics 70 K Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0212843 Kolesárová A. SK 30 http://library.utia.cas.cz/separaty/2022/E/mesiar-0559712.pdf https://www.sciencedirect.com/science/article/pii/S0888613X22000925?via%3Dihub Using hypergraphs of survival functions, we propose a rather general method for the construction of discrete fuzzy integrals. Our method is based on various rectangle decompositions of hypergraphs and on rectangle mappings suitably evaluating the rectangles of the considered decompositions. By means of appropriate binary aggregation functions we define two types of rectangle mappings and four types of discrete fuzzy integral constructions, and we also investigate the properties of the introduced integrals and the relationships between them. All the introduced methods based on non-overlapping rectangles coincide in the case of the product aggregation function, and then the related integral is the Choquet integral. Several examples are given. WOS BA 10000 10100 10101 2023 2 RVO:67985556 https://hdl.handle.net/11104/0333423 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 85132873051 SCOPUS PUBMED 000833300000007 WOS cav_un_epca*0256774 International Journal of Approximate Reasoning 0888-613X 1873-4731 Roč. 148 č. 1 2022 162 173 Elsevier