0391390 20240103202433.920130404235959.9 000316166200002 10.1016/j.ijar.2012.07.008 8 s. P cav_un_epca*02567740888-613X543 (2013)357-364Elsevier concave integral pseudo-addition pseudo-multiplication cav_un_auth*0101163 Mesiar Radko Ekonometrie Department of Econometrics E E UTIA-B Department of Econometrics Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0205590 Li J. CN cav_un_auth*0280491 Pap E. RS http://library.utia.cas.cz/separaty/2013/E/mesiar-discrete pseudo-integrals.pdf GAP402/11/0378 GA ČR cav_un_auth*0273630 Integration of simple functions is a corner stone of general integration theory and it covers integration over finite spaces discussed in this paper. Different kinds of decomposition and subdecomposition of simple functions into basic functions sums, as well as different kinds of pseudo-operations exploited for integration and summation result into several types of integrals, including among others, Lebesgue, Choquet, Sugeno, pseudo-additive, Shilkret, PAN, Benvenuti and concave integrals. Some basic properties of introduced discrete pseudoconcave integrals are discussed, and several examples of new integrals are given. 2014 BA 3 RVO:67985556 http://hdl.handle.net/11104/0220518 COMPUTERSCIENCEARTIFICIALINTELLIGENCE 2.072 0.489 5.VIII 0.00519 0.656 1912 90 1.145 Q1 64.744 76.446 Q2 Q2 2013 000316166200002 WOS cav_un_epca*0256774 International Journal of Approximate Reasoning 0888-613X 1873-4731 Roč. 54 č. 3 2013 357 364 Elsevier