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 79, 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 decision making when the modelrelated information is scarce, vague, ambiguous, or incomplete. Such attempts include the study of nonadditive measures and their integrals, imprecise probabilities and random sets, and their applications in information sciences, economics, finance, insurance, engineering, and social sciences. This book presents topics including nonadditive measures and nonlinear integrals, Choquet, Sugeno and other types of integrals, possibility theory, DempsterShafer theory, random sets, fuzzy random sets and related statistics, setvalued and fuzzy stochastic processes, imprecise probability theory and related statistical models, fuzzy mathematics, nonlinear functional analysis, information theory, mathematical finance and risk managements, decision making under various types of uncertainty, and others.
About Shoumei Li
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Author  :  Shoumei Li 
Publisher  :  SpringerVerlag Berlin and Heidelberg GmbH 
Data Published  :  14 August 2011 
ISBN  :  3642228321 
EAN  :  9783642228322 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  699 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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