0477092 20240103214403.920170817235959.9 85018765123 000403514700006 10.1016/j.ijar.2017.04.008 11 s. P cav_un_epca*02567740888-613X861 (2017)62-72Elsevier Integral equivalence Necessity measure Possibility measure Survival function Universal integral cav_un_auth*0348641 Chen T. CN cav_un_auth*0101163 Ekonometrie Department of Econometrics E E Department of Econometrics 40 Mesiar Radko UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0348640 Li J. CN cav_un_auth*0307047 20 Stupňanová A. SK K http://library.utia.cas.cz/separaty/2017/E/mesiar-0477092.pdf Integral equivalence of couples (mu, x) and (mu, y), where mu is a possibility (necessity) measure on [n] ={1,..., n} and x, y is an element of [0,1](n) is discussed and studied. We characterize the sets H(mu, x) of all y such that the couples (mu, x) and (mu, y) are integral equivalent and we add an illustrative example. Subsequently, a new characterization of possibility (necessity) measures is obtained and the coincidence of universal integrals for possibility (necessity) measures and particular vectors from [0,1](n) is shown, thus generalizing these results introduced by Dubois and Rico for the Choquet and the Sugeno integrals. BA 10000 10100 10103 2018 4 RVO:67985556 http://hdl.handle.net/11104/0274030 S 3+4 Article Computer Science Artificial Intelligence 3+4 Article Computer Science Artificial Intelligence 3+4 Article Computer Science Artificial Intelligence COMPUTERSCIENCE.ARTIFICIALINTELLIGENCE 2.504 0.687 7.8 0.0042 0.658 3384 0.866 1.343 182 Q2 44.33 51.1 Q3 Q2 0.9 Q2 51.136 2017 85018765123 SCOPUS PUBMED 000403514700006 WOS cav_un_epca*0256774 International Journal of Approximate Reasoning 0888-613X 1873-4731 Roč. 86 č. 1 2017 62 72 Elsevier