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Uncertainty Theory [electronic resource] : A Branch of Mathematics for Modeling Human Uncertainty / by Baoding Liu.

By: Liu, Baoding [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Studies in Computational Intelligence: 300Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010Description: 350p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783642139598.Subject(s): Engineering | Artificial intelligence | Management information systems | Engineering | Computational Intelligence | Artificial Intelligence (incl. Robotics) | e-Commerce/e-business | Business Information SystemsDDC classification: 006.3 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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.
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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.

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.

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