TY - BOOK ID - 8581767 TI - Nonlinear mathematics for uncertainty and its applications AU - Li, Shoumei. AU - Nonlinear Mathematics for Uncertainty and Its Applications AU - Beijing gong ye da xue. PY - 2011 SN - 3642228321 9786613476500 1283476509 364222833X PB - Berlin : Springer, DB - UniCat KW - Probabilities KW - Uncertainty KW - Engineering & Applied Sciences KW - Mathematics KW - Physical Sciences & Mathematics KW - Mathematical Statistics KW - Computer Science KW - Mathematical models KW - Artificial intelligence. KW - AI (Artificial intelligence) KW - Artificial thinking KW - Electronic brains KW - Intellectronics KW - Intelligence, Artificial KW - Intelligent machines KW - Machine intelligence KW - Thinking, Artificial KW - Engineering. KW - Applied mathematics. KW - Engineering mathematics. KW - Computational intelligence. KW - Computational Intelligence. KW - Artificial Intelligence (incl. Robotics). KW - Applications of Mathematics. KW - Bionics KW - Cognitive science KW - Digital computer simulation KW - Electronic data processing KW - Logic machines KW - Machine theory KW - Self-organizing systems KW - Simulation methods KW - Fifth generation computers KW - Neural computers KW - Intelligence, Computational KW - Artificial intelligence KW - Soft computing KW - Engineering KW - Engineering analysis KW - Mathematical analysis KW - Construction KW - Industrial arts KW - Technology KW - Mathematics. KW - Artificial Intelligence. KW - Math KW - Science UR - https://www.unicat.be/uniCat?func=search&query=sysid:8581767 AB - 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. ER -