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What is Uncertainty Theory: A Branch of Mathematics for Modeling Human Uncertainty (Studies in Computational Intelligence (300)) about?

Some information and knowledge are usually represented by human language like "about 100km", "approximately 39 • C", "roughly 80kg", "low speed", "middle age", and "big size". How do we understand them? Perhaps some people think that they are subjective probability or they are fuzzy concepts. However, a lot of surveys showed that those imprecise quantities behave neither like randomness nor like fuzziness. This fact provides a motivation to invent another mathematical tool, namely uncertainty theory.Uncertainty theory was founded by Liu [120] in 2007. Nowadays uncertainty theory has become a branch of mathematics based on normality, monotonicity, self-duality, countable subadditivity, and product measure axioms. The first fundamental concept in uncertainty theory is uncertain measure that is used to measure the belief degree of an uncertain event. The second one is uncertain variable that is used to represent imprecise quantities. The third one is uncertainty distribution that is used to describe uncertain variables in an incomplete but easy-to-use way. Uncertainty theory is thus deduced from those three foundation stones, and provides a mathematical model to deal with uncertain ph

Author

Baoding Liu

Publisher

Springer Berlin Heidelberg

Published

2010

Language

EN

ISBN

9783642139598

Subjects

Business, Management, Engineering