Mathematics of Uncertainty

Mathematics of Uncertainty
Author: Hans Bandemer
Publisher: Springer Science & Business Media
Total Pages: 199
Release: 2006
Genre: Computers
ISBN: 3540284575

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"Mathematics of Uncertainty" provides the basic ideas and foundations of uncertainty, covering the fields of mathematics in which uncertainty, variability, imprecision and fuzziness of data are of importance. This introductory book describes the basic ideas of the mathematical fields of uncertainty from simple interpolation to wavelets, from error propagation to fuzzy sets and neural networks. The book presents the treatment of problems of interpolation and approximation, as well as observation fuzziness which can essentially influence the preciseness and reliability of statements on functional relationships. The notions of randomness and probability are examined as a model for the variability of observation and measurement results. Besides these basic ideas the book also presents methods of qualitative data analysis such as cluster analysis and classification, and of evaluation of functional relationships such as regression analysis and quantitative fuzzy data analysis.

Uncertainty Theory

Uncertainty Theory
Author: Baoding Liu
Publisher: Springer
Total Pages: 263
Release: 2007-09-14
Genre: Technology & Engineering
ISBN: 3540731652

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This book provides a self-contained, comprehensive and up-to-date presentation of uncertainty theory. The purpose is to equip the readers with an axiomatic approach to deal with uncertainty. For this new edition the entire text has been totally rewritten. The chapters on chance theory and uncertainty theory are completely new. Mathematicians, researchers, engineers, designers, and students will find this work a stimulating and useful reference.

Do Dice Play God?

Do Dice Play God?
Author: Ian Stewart
Publisher: Profile Books
Total Pages: 292
Release: 2019-06-06
Genre: Mathematics
ISBN: 178283401X

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Uncertainty is everywhere. It lurks in every consideration of the future - the weather, the economy, the sex of an unborn child - even quantities we think that we know such as populations or the transit of the planets contain the possibility of error. It's no wonder that, throughout that history, we have attempted to produce rigidly defined areas of uncertainty - we prefer the surprise party to the surprise asteroid. We began our quest to make certain an uncertain world by reading omens in livers, tea leaves, and the stars. However, over the centuries, driven by curiosity, competition, and a desire be better gamblers, pioneering mathematicians and scientists began to reduce wild uncertainties to tame distributions of probability and statistical inferences. But, even as unknown unknowns became known unknowns, our pessimism made us believe that some problems were unsolvable and our intuition misled us. Worse, as we realized how omnipresent and varied uncertainty is, we encountered chaos, quantum mechanics, and the limitations of our predictive power. Bestselling author Professor Ian Stewart explores the history and mathematics of uncertainty. Touching on gambling, probability, statistics, financial and weather forecasts, censuses, medical studies, chaos, quantum physics, and climate, he makes one thing clear: a reasonable probability is the only certainty.

Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems

Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems
Author: Chakraverty, S.
Publisher: IGI Global
Total Pages: 442
Release: 2014-01-31
Genre: Mathematics
ISBN: 1466649925

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"This book provides the reader with basic concepts for soft computing and other methods for various means of uncertainty in handling solutions, analysis, and applications"--Provided by publisher.

Mathematics of Uncertainty for Coping with World Challenges

Mathematics of Uncertainty for Coping with World Challenges
Author: John N. Mordeson
Publisher: Springer Nature
Total Pages: 209
Release: 2021-02-23
Genre: Technology & Engineering
ISBN: 3030686841

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This book ranks countries with respect to their achievement of the Sustainable Development Goals and their vulnerability to climate change. Human livelihoods, stable economies, health, and high quality of life all depend on a stable climate and earth system, and a diversity of species and ecosystems. Climate change significantly impacts human trafficking, modern slavery, and global hunger. This book examines these global problems using techniques from mathematics of uncertainty. Since accurate data concerning human trafficking and modern slavery is impossible to obtain, mathematics of uncertainty is an ideal discipline to study these problems. The book also considers the interconnection between climate change, world hunger, human trafficking, modern slavery, and the coronavirus. Connectivity properties of fuzzy graphs are used to examine trafficking flow between regions in the world. The book is an excellent reference source for advanced undergraduate and graduate students in mathematics and the social sciences as well as for researchers and teachers.

Uncertainty Theory

Uncertainty Theory
Author: Baoding Liu
Publisher: Springer Science & Business Media
Total Pages: 350
Release: 2011-11-07
Genre: Computers
ISBN: 3642139582

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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.

Probability

Probability
Author: Dorian Feldman
Publisher: CRC Press
Total Pages: 428
Release: 1991-09-24
Genre: Mathematics
ISBN: 9780824784522

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Applications of Mathematics of Uncertainty

Applications of Mathematics of Uncertainty
Author: John N. Mordeson
Publisher: Springer Nature
Total Pages: 307
Release: 2021-11-17
Genre: Technology & Engineering
ISBN: 3030869962

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This book provides an examination of major problems facing the world using mathematics of uncertainty. These problems include climate change, coronavirus pandemic, human tracking, biodiversity, and other grand challenges. Mathematics of uncertainty is used in a modern more general sense than traditional mathematics. Since accurate data is impossible to obtain concerning human tracking and other global problems, mathematics of uncertainty is an ideal discipline to study these problems. The authors place several scientific studies into different mathematical settings such as nonstandard analysis and soft logic. Fuzzy differentiation is used to model the spread of diseases such as the coronavirus. The book uses fuzzy graph theory to examine the problems of human tracking and illegal immigration. The book is an excellent reference source for advanced under-graduate and graduate students in mathematics and the social sciences as well as for researchers and teachers.

Measurement Uncertainty

Measurement Uncertainty
Author: Simona Salicone
Publisher: Springer Science & Business Media
Total Pages: 235
Release: 2007-06-04
Genre: Mathematics
ISBN: 0387463283

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The expression of uncertainty in measurement poses a challenge since it involves physical, mathematical, and philosophical issues. This problem is intensified by the limitations of the probabilistic approach used by the current standard (the GUM Instrumentation Standard). This text presents an alternative approach. It makes full use of the mathematical theory of evidence to express the uncertainty in measurements. Coverage provides an overview of the current standard, then pinpoints and constructively resolves its limitations. Numerous examples throughout help explain the book’s unique approach.

Probability and Statistics

Probability and Statistics
Author: John Tabak
Publisher: Infobase Publishing
Total Pages: 241
Release: 2014-05-14
Genre: Electronic books
ISBN: 0816068739

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Presents a survey of the history and evolution of the branch of mathematics that focuses on probability and statistics, including useful applications and notable mathematicians in this area.