0640707 20260224163833.120251103235959.9 85212857253 001394795600001 10.1016/j.fss.2024.109249 18 s. P cav_un_epca*02566420165-0114503Elsevier Choquet integral Multifunction Fuzzy measure Multi-valued Choquet integral Hesitant fuzzy set Set-valued fuzzy measure cav_un_auth*0203805 Zhang D. CN K cav_un_auth*0101163 Mesiar Radko UTIA-B Ekonometrie Department of Econometrics E E Department of Econometrics Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0280491 Pap E. RS https://library.utia.cas.cz/separaty/2025/E/mesiar-0640707.pdf https://www.sciencedirect.com/science/article/pii/S0165011424003956?via%3Dihub As a generalization of Choquet integrals, the generalized Choquet type set-valued integral of functions w.r.t. set multifunctions and σ-additive measures has been performed in our previous paper [66]. The present paper is its continuation and it brings a novel set-valued type Choquet integral, named double set function multi-valued Choquet integral (DSMVCI), where the σ-additive measure is replaced by a fuzzy measure. Various kinds of its properties and convergence theorems are obtained, and set-valued type Jensen's and Markov's type inequalities are proved. Its application in multi-attribute decision-making with hesitant fuzzy information is given. WOS BA 10000 10100 10101 2026 RVO:67985556 https://hdl.handle.net/11104/0371070 S 109249 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 2025 85212857253 SCOPUS PUBMED 001394795600001 WOS cav_un_epca*0256642 Fuzzy Sets and Systems Roč. 503 č. 1 2025 0165-0114 1872-6801 Elsevier