0457408 20240103212013.620160415235959.9 84955413289 000368276100003 10.1016/j.fss.2015.07.014 11 s. P cav_un_epca*02566420165-01142871 (2016)37-47Elsevier Choquet integral Decision making Decomposition integral cav_un_auth*0282828 25 Greco S. IT cav_un_auth*0101163 Ekonometrie Department of Econometrics E E Department of Econometrics 30 Mesiar Radko UTIA-B S Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0282829 25 Rindone F. IT K cav_un_auth*0329981 20 Sipeky L. SK http://library.utia.cas.cz/separaty/2016/E/mesiar-0457408.pdf we discuss a general approach to integration based on a given decomposition system equipped with a weighting function, and a decomposition of the integrated function. We distinguish two type of decompositions: sub-decomposition based integrals (in economics linked with optimization problems to maximize the possible profit) and super-decomposition based integrals (linked with costs minimization). We provide several examples (both theoretical and realistic) to stress that our approach generalizes that of Even and Lehrer (2014) [3] and also covers problems of linear programming and combinatorial optimization. Finally, we introduce some new types of integrals related to optimization tasks. BA 2017 RVO:67985556 http://hdl.handle.net/11104/0258928 S 1 Article Computer Science Theory Methods|Mathematics Applied|Statistics Probability MATHEMATICS.APPLIED|COMPUTERSCIENCE.THEORY&METHODS|STATISTICS&PROBABILITY 2.783 0.54 999.9 0.00921 0.684 15681 1.408 Q1 2.224 248 Q1 53.218 91.1 Q2 Q1* 96.275 2016 84955413289 SCOPUS 000368276100003 WOS cav_un_epca*0256642 Fuzzy Sets and Systems 0165-0114 1872-6801 Roč. 287 č. 1 2016 37 47 Elsevier