Uncertainty Theory

A Branch of Mathematics for Modeling Human Uncertainty

Baoding Liu (Herausgeber)

Buch | Hardcover

XI, 350 Seiten

2011 | 2011
Springer Berlin (Verlag)
978-3-642-13958-1 (ISBN)

Infos

Uncertainty theory is a branch of mathematics based on normality, monotonicity, self-duality, countable subadditivity, and product measure axioms. Uncertainty is any concept that satisfies the axioms of uncertainty theory. Thus uncertainty is neither randomness nor fuzziness. It is also known from some surveys that a lot of phenomena do behave like uncertainty. How do we model uncertainty? How do we use uncertainty theory? In order to answer these questions, this book provides a self-contained, comprehensive and up-to-date presentation of uncertainty theory, including uncertain programming, uncertain risk analysis, uncertain reliability analysis, uncertain process, uncertain calculus, uncertain differential equation, uncertain logic, uncertain entailment, and uncertain inference. Mathematicians, researchers, engineers, designers, and students in the field of mathematics, information science, operations research, system science, industrial engineering, computer science, artificial intelligence, finance, control, and management science will find this work a stimulating and useful reference.

Inhalt

Uncertainty Theory.- Uncertain Programming.- Uncertain Risk Analysis.- Uncertain Reliability Analysis.- Uncertain Process .- Uncertain Calculus.- Uncertain Differential Equation.- Uncertain Logic.- Uncertain Entailment.- Uncertain Set Theory.- Uncertain Inference.

Produkt-Details

• Erscheint lt. Verlag: 7.11.2011
• Reihe/Serie: Studies in Computational Intelligence
• Zusatzinfo: XI, 350 p.
• Verlagsort: Berlin
• Sprache: englisch
• Maße: 155 x 235 mm
• Gewicht: 670 g
• Themenwelt: Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
• Themenwelt: Technik
• Schlagworte: Credibility Theory • Fuzzy Set Analysis • Fuzzy Sets • Random Fuzzy Theory • Rough Sets • Uncertainty Theory • Unsicherheit
• ISBN-10: 3-642-13958-2 / 3642139582
• ISBN-13: 978-3-642-13958-1 / 9783642139581
• Zustand: Neuware