Editors:
- Recent research on Nonlinear Mathematics and Uncertainty Scientific outcome of the conference "Non-Linear Mathematics
- Uncertaity and Applications" held Sep. 7-9, 2011 in Bejing, China
- Written by leading experts in the field
Part of the book series: Advances in Intelligent and Soft Computing (AINSC, volume 100)
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Table of contents (85 papers)
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Front Matter
About this book
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 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.
Editors and Affiliations
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College of Applied Sciences, Beijing University of Technology, Chaoyang District, P.R. China
Shoumei Li, Xia Wang, Li Guan
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Department of Systems Design and Informatics, Kyushu Institute of Technology, lizuka, Japan
Yoshiaki Okazaki
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Department of Mathematics, Shinshu University, Nagano, Japan
Jun Kawabe
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Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Yokohama, Japan
Toshiaki Murofushi
Bibliographic Information
Book Title: Nonlinear Mathematics for Uncertainty and its Applications
Editors: Shoumei Li, Xia Wang, Yoshiaki Okazaki, Jun Kawabe, Toshiaki Murofushi, Li Guan
Series Title: Advances in Intelligent and Soft Computing
DOI: https://doi.org/10.1007/978-3-642-22833-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Berlin Heidelberg 2011
Hardcover ISBN: 978-3-642-22832-2Published: 21 July 2011
Softcover ISBN: 978-3-662-52038-3Published: 23 August 2016
eBook ISBN: 978-3-642-22833-9Published: 21 July 2011
Series ISSN: 1867-5662
Series E-ISSN: 1867-5670
Edition Number: 1
Number of Pages: XVII, 709
Topics: Computational Intelligence, Artificial Intelligence, Applications of Mathematics