0599050 20241021111203.720241007235959.9 85181143323 001165967000001 10.1016/j.fss.2023.108841 24 s. P cav_un_epca*02566420165-0114478Elsevier Concordance measure Convex concordance measure Convex weak concordance measure Copula Random vector cav_un_auth*0101163 Mesiar Radko UTIA-B Ekonometrie Department of Econometrics E E Department of Econometrics 40 A Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0212843 Kolesárová A. SK 20 cav_un_auth*0436913 Sheikhi A. IR 20 cav_un_auth*0473808 Shvydka S. SK 20 https://library.utia.cas.cz/separaty/2024/E/mesiar-0599050.pdf https://www.sciencedirect.com/science/article/pii/S0165011423004864?via%3Dihub Considering the framework of weak concordance measures introduced by Liebscher in 2014, we propose and study convex weak concordance measures. This class of dependence measures contains as a proper subclass the class of all convex concordance measures, introduced and studied by Mesiar et al. in 2022, and thus it also covers the well-known concordance measures as Spearman's ρ, Gini's γ and Blomqvist's β. The class of all convex weak concordance measures also contains, for example, Spearman's footrule ϕ, which is not a concordance measure. In this paper, we first introduce basic convex weak concordance measures built in general by means of a single point (u,v)∈▽={(u,v)∈]0,1[2|u≥v} and its transpose (v,u) only. Then, based on basic convex weak concordance measures and probability measures on the Borel subsets of ▽, two rather general constructions of convex weak concordance measures are proposed, discussed and exemplified. Inspired by Edwards et al., probability measures-based constructions are generalized to Borel measures on B(]0,1[2)-based constructions also allowing some infinite measures to be considered. Finally, it is shown that the presented constructions also cover the mentioned standard (convex weak) concordance measures ρ, γ, β, ϕ and provide alternative formulas for them. WOS BA 10000 10100 10103 2025 4 RVO:67985556 https://hdl.handle.net/11104/0357045 S 108841 C MATHEMATICS.APPLIED|STATISTICS&PROBABILITY|COMPUTERSCIENCE.THEORY&METHODS 2.6 0.9 19.7 0.0062 0.613 14846 191 0.754 37.34 2.7 2335 Q1 2.200 229 Q1 82 1.43 Q1 91.4 2024 85181143323 SCOPUS PUBMED 001165967000001 WOS cav_un_epca*0256642 Fuzzy Sets and Systems Roč. 478 č. 1 2024 0165-0114 1872-6801 Elsevier