TY - BOOK AU - GavriluĊ£,Alina AU - Pap,Endre ED - SpringerLink (Online service) TI - Regular Non-Additive Multimeasures. Fundaments and Applications T2 - Studies in Systems, Decision and Control, SN - 9783031111006 AV - TA329-348 U1 - 620.00151 23 PY - 2023/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Engineering mathematics KW - Engineering KW - Data processing KW - Control engineering KW - Engineering Mathematics KW - Mathematical and Computational Engineering Applications KW - Control and Systems Theory N1 - Acceso multiusuario; Types of multimeasures -- Approximation theorems for multimeasures in the Vietoris topology -- Regularity of the Gould and Choquet integrals -- Appendix N2 - 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 UR - http://libcon.rec.uabc.mx:2048/login?url=https://doi.org/10.1007/978-3-031-11100-6 ER -