LEADER 03550nam 22006135 450 001 9910627250403321 005 20230810175758.0 010 $a3-031-11100-1 024 7 $a10.1007/978-3-031-11100-6 035 $a(MiAaPQ)EBC7107720 035 $a(Au-PeEL)EBL7107720 035 $a(CKB)25048787400041 035 $a(DE-He213)978-3-031-11100-6 035 $a(PPN)265858747 035 $a(EXLCZ)9925048787400041 100 $a20221007d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aRegular Non-Additive Multimeasures. Fundaments and Applications /$fby Alina Gavrilu?, Endre Pap 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (166 pages) 225 1 $aStudies in Systems, Decision and Control,$x2198-4190 ;$v448 311 08$aPrint version: Gavrilu?, Alina Regular Non-Additive Multimeasures. Fundaments and Applications Cham : Springer International Publishing AG,c2023 9783031110993 320 $aIncludes bibliographical references and index. 327 $aTypes of multimeasures -- Approximation theorems for multimeasures in the Vietoris topology -- Regularity of the Gould and Choquet integrals -- Appendix. 330 $aThis book is intended to be an exhaustive study on regularity and other properties of continuity for different types of non-additive multimeasures and with respect to different types of topologies. The book is addressed to graduate and postgraduate students, teachers and all researchers in mathematics, but not only. Since the notions and results offered by this book are closely related to various notions of the theory of probability, this book will be useful to a wider category of readers, using multivalued analysis techniques in areas such as control theory and optimization, economic mathematics, game theory, decision theory, etc. Measure and integration theory developed during the early years of the 20th century is one of the most important contributions to modern mathematical analysis, with important applications in many fields. In the last years, many classical problems from measure theory have been treated in the non-additive case and also extended in the set-valued case. The property of regularity is involved in many results of mathematical analysis, due to its applications in probability theory, stochastic processes, optimal control problems, dynamical systems, Markov chains, potential theory etc. 410 0$aStudies in Systems, Decision and Control,$x2198-4190 ;$v448 606 $aEngineering mathematics 606 $aEngineering$xData processing 606 $aAutomatic control 606 $aEngineering Mathematics 606 $aMathematical and Computational Engineering Applications 606 $aControl and Systems Theory 615 0$aEngineering mathematics. 615 0$aEngineering$xData processing. 615 0$aAutomatic control. 615 14$aEngineering Mathematics. 615 24$aMathematical and Computational Engineering Applications. 615 24$aControl and Systems Theory. 676 $a515.42 676 $a515.42 700 $aGavrilut?$b Alina$0780996 702 $aPap$b Endre 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910627250403321 996 $aRegular non-additive multimeasures, fundaments and applications$93048925 997 $aUNINA