Nonlinear Mathematics for Uncertainty and its Applications

  • Shoumei Li
  • Xia Wang
  • Yoshiaki Okazaki
  • Jun Kawabe
  • Toshiaki Murofushi
  • Li Guan

Part of the Advances in Intelligent and Soft Computing book series (AINSC, volume 100)

Table of contents

  1. Front Matter
  2. Guangyan Jia, Jianming Xia
    Pages 31-34
  3. Radko Mesiar, Jun Li, Endre Pap
    Pages 43-49
  4. Coenraad C. A. Labuschagne, Valeria Marraffa
    Pages 51-59
  5. Shinsuke Nakamura, Toshiyuki Takasawa, Toshiaki Murofushi
    Pages 61-68
  6. Toshikazu Watanabe, Tamaki Tanaka
    Pages 69-75
  7. Jun Li, Masami Yasuda, Ling Zhou
    Pages 77-83
  8. Tamaki Tanaka, Toshikazu Watanabe
    Pages 85-92
  9. Hongxia Wang, Shoumei Li
    Pages 101-108
  10. Hung T. Nguyen
    Pages 109-115
  11. Marek T. Malinowski, Mariusz Michta
    Pages 143-150
  12. Jungang Li, Jinting Wang
    Pages 161-168

About these proceedings


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.


Fuzzy Mathematics Fuzzy Sets Nonlinear Mathematics

Editors and affiliations

  • Shoumei Li
    • 1
  • Xia Wang
    • 1
  • Yoshiaki Okazaki
    • 2
  • Jun Kawabe
    • 3
  • Toshiaki Murofushi
    • 4
  • Li Guan
    • 1
  1. 1.College of Applied SciencesBeijing University of TechnologyChaoyang DistrictP.R. China
  2. 2.Department of Systems Design and InformaticsKyushu Institute of TechnologylizukaJapan
  3. 3.Department of MathematicsShinshu UniversityNaganoJapan
  4. 4.Department of Computational Intelligence and Systems ScienceTokyo Institute of TechnologyYokohamaJapan

Bibliographic information

  • DOI
  • Copyright Information Springer Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-22832-2
  • Online ISBN 978-3-642-22833-9
  • Series Print ISSN 1867-5662
  • Series Online ISSN 1867-5670
  • About this book