03550nam 22006135 450 991062725040332120230810175758.03-031-11100-110.1007/978-3-031-11100-6(MiAaPQ)EBC7107720(Au-PeEL)EBL7107720(CKB)25048787400041(DE-He213)978-3-031-11100-6(PPN)265858747(EXLCZ)992504878740004120221007d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierRegular Non-Additive Multimeasures. Fundaments and Applications /by Alina Gavriluţ, Endre Pap1st ed. 2023.Cham :Springer International Publishing :Imprint: Springer,2023.1 online resource (166 pages)Studies in Systems, Decision and Control,2198-4190 ;448Print version: Gavriluţ, Alina Regular Non-Additive Multimeasures. Fundaments and Applications Cham : Springer International Publishing AG,c2023 9783031110993 Includes bibliographical references and index.Types of multimeasures -- Approximation theorems for multimeasures in the Vietoris topology -- Regularity of the Gould and Choquet integrals -- Appendix.This 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.Studies in Systems, Decision and Control,2198-4190 ;448Engineering mathematicsEngineeringData processingAutomatic controlEngineering MathematicsMathematical and Computational Engineering ApplicationsControl and Systems TheoryEngineering mathematics.EngineeringData processing.Automatic control.Engineering Mathematics.Mathematical and Computational Engineering Applications.Control and Systems Theory.515.42515.42Gavriluţ Alina780996Pap EndreMiAaPQMiAaPQMiAaPQBOOK9910627250403321Regular non-additive multimeasures, fundaments and applications3048925UNINA