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Nonlinear Mathematics for Uncertainty and its Applications

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Feldname	Details
Vorliegende Sprache	eng
Hinweise auf parallele Ausgaben	348536909 Buchausg. u.d.T.: ‡Nonlinear mathematics for uncertainty and its applications
ISBN	978-3-642-22832-2
Name	Li, Shoumei
Name	Wang, Xia
Name ANZEIGE DER KETTE	Wang, Xia
Name	Okazaki, Yoshiaki
	Kawabe, Jun
	Murofushi, Toshiaki
	Guan, Li
T I T E L	Nonlinear Mathematics for Uncertainty and its Applications
Verlagsort	Berlin, Heidelberg
Verlag	Springer Berlin Heidelberg
Erscheinungsjahr	2011
Erscheinungsjahr	2011
Umfang	Online-Ressource (XVIII, 710p. 69 illus, digital)
Reihe	Advances in Intelligent and Soft Computing ; 100
Notiz / Fußnoten	Includes bibliographical references and index
Weiterer Inhalt	Title Page; Preface; Organization; Contents; Ordinal Preference Models Based on S-Integrals and Their Verification; Introduction; Ordinal Preference Theory Based on S-Integrals; Experimental Verifications of S-Integral Models; Preferences of Apartments; Preferences of Part-Time Jobs; Savage's Omelet Problem; Hierarchical Preference Models; Conclusions; References; Strong Laws of Large Numbers for Bernoulli Experiments under Ambiguity; Introduction; Notation and Lemmas; The Main Results; Appendix; References; Comparative Risk Aversion for g-Expected Utility Maximizers; References. Riesz Type Integral Representations for Comonotonically Additive FunctionalsIntroduction; Notation and Preliminaries; Riesz Type Integral Representation Theorems; Conclusions; References; Pseudo-concave Integrals; Introduction; Definitions of Choquet, Sugeno and Lehrer integrals; Pseudo-operations; Pseudo-concave Integral; Concluding Remarks; References; On Spaces of Bochner and Pettis Integrable Functions and Their Set-Valued Counterparts; Introduction; Connecting Pettis to Bochner Integrable Functions; Set-Valued Pettis Integrable Functions; Integrably Bounded Functions. Set-Valued Cone Absolutely SummingMapping Order-Pettis Integrable to Integrably Bounded Functions; References; Upper Derivatives of Set Functions Represented as the Choquet Indefinite Integral; Introduction; Preliminaries; Derivatives of Set Functions; Derivatives, Upper and Lower Derivatives of Set Functions; Two Main Theorems on Upper Derivatives; Conclusions; References; On Regularity for Non-additive Measure; Introduction; Preliminaries; Regularity of Measure; Egoroff's Theorem; References; Autocontinuity from below of Set Functions and Convergence in Measure; Introduction; Preliminaries. Autocontinuity of Set FunctionConvergence inMeasure; References; On Lusin's Theorem for Non-additive Measure; Introduction; Preliminaries; Regularity of Measure; Lusin's Theorem; Applications of Lusin's Theorem; References; Multiple-Output Choquet Integral Models and Their Applications in Classification Methods; Introduction; Definitions; Choquet Integral; Logical Choquet Integral; Vector-Valued Choquet Integral Model; Properties of the Vector-Valued Choquet Integral; Classification; Classification by the Vector-Valued Choquet Integral; Logical Set-Function-Valued Choquet Integral Model. Numerical ExamplesLinear Functions; Fuzzy Switching Function; Conclusions; References; On Convergence Theorems of Set-Valued Choquet Integrals; Introduction; Preliminaries and Notations; MainResults; References; On Nonlinear Correlation of Random Elements; Introduction; Why Nonlinear Correlation?; Entering Copulas; Copulas for Probability Measures; The Case of Random Closed Sets; References; On Fuzzy Stochastic Integral Equations-A Martingale Problem Approach; Introduction; Set-Valued Trajectory Stochastic Integral; Fuzzy Trajectory Stochastic Integral; Fuzzy Stochastic Differential Equation. Applications
Titelhinweis	Buchausg. u.d.T.: ‡Nonlinear mathematics for uncertainty and its applications
ISBN	ISBN 978-3-642-22833-9
Klassifikation	UYQ
	COM004000
	*00B25
	18-06
	28-06
	34-06
	35-06
	37-06
	46-06
	47-06
	60-06
	62-06
	65-06
	90-06
	91-06
	94-06
	00A69
	006.3
	519.2
	Q342
Kurzbeschreibung	Li Guan
2. Kurzbeschreibung	This volume is a collection of papers presented at the international conference on Nonlinear Mathematics for Uncertainty and Its Applications (NLMUA2011), held at Beijing University of Technology during the week of September 7--9, 2011. The conference brought together leading researchers and practitioners involved with all aspects of nonlinear mathematics for uncertainty and its applications. Over the last fifty years there have been many attempts in extending the theory of classical probability and statistical models to the generalized one which can cope with problems of inference and decisio
1. Schlagwortkette	Unsicherheit
	Mathematisches Modell
	Wahrscheinlichkeitstheoretische Menge
	Fuzzy-Maß
	Choquet-Kapazität
	Kongress
ANZEIGE DER KETTE	Unsicherheit -- Mathematisches Modell -- Wahrscheinlichkeitstheoretische Menge -- Fuzzy-Maß -- Choquet-Kapazität -- Kongress
SWB-Titel-Idn	350229023
Signatur	Springer E-Book
Bemerkungen	Elektronischer Volltext - Campuslizenz
Elektronische Adresse	$uhttp://dx.doi.org/10.1007/978-3-642-22833-9
Internetseite / Link	Volltext
Siehe auch	Volltext
Siehe auch	Inhaltstext

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