03299nmm a2200373 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100002600139245017900165250001700344260006300361300003400424505053600458653002400994653002801018653003101046653002801077653003201105653003101137653002801168700002401196700003201220700002601252710003401278041001901312989003601331490004701367856007201414082001001486520142901496EB000387444EBX0100000000000000024049600000000000000.0cr|||||||||||||||||||||130626 ||| eng a97836422283391 aLi, Shoumeie[editor]00aNonlinear Mathematics for Uncertainty and its ApplicationshElektronische Ressourcecedited by Shoumei Li, Xia Wang, Yoshiaki Okazaki, Jun Kawabe, Toshiaki Murofushi, Li Guan a1st ed. 2011 aBerlin, HeidelbergbSpringer Berlin Heidelbergc2011, 2011 aXVIII, 710 pbonline resource0 aOrdinal Preference Models Based on S-Integrals and Their Verification -- Strong Laws of Large Numbers for Bernoulli Experiments under Ambiguity -- Comparative Risk Aversion for g-Expected Utility Maximizers -- Riesz Type Integral Representations for Comonotonically Additive Functionals -- Pseudo-Concave Integrals -- On Spaces of Bochner and Pettis Integrable Functions and Their Set-Valued Counterparts -- Upper Derivatives of Set Functions Represented as the Choquet Indefinite Integral -- On Regularity for Non-Additive Measure aApplied mathematics aEngineering mathematics aComputational intelligence aArtificial Intelligence aApplications of Mathematics aComputational Intelligence aArtificial intelligence1 aWang, Xiae[editor]1 aOkazaki, Yoshiakie[editor]1 aKawabe, June[editor]2 aSpringerLink (Online service)07aeng2ISO 639-2 bSpringeraSpringer eBooks 2005-0 aAdvances in Intelligent and Soft Computing uhttps://doi.org/10.1007/978-3-642-22833-9?nosfx=yxVerlag3Volltext0 a006.3 aThis 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 decision making when the model-related 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. The book presents topics including nonadditive measures and nonlinear integrals, Choquet, Sugeno and other types of integrals, possibility theory, Dempster-Shafer theory, random sets, fuzzy random sets and related statistics, set-valued 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