Belief Functions Theory And Applications

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Belief Functions: Theory and Applications

Thierry Denoeux,Marie-Hélène Masson
Belief Functions Theory and Applications Book PDF

Author : Thierry Denoeux,Marie-Hélène Masson
Publisher : Springer Science & Business Media
Page : 442 pages
File Size : 42,6 Mb
Release : 2012-04-26
Category : Technology & Engineering
ISBN : 9783642294617

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Belief Functions: Theory and Applications by Thierry Denoeux,Marie-Hélène Masson Pdf

The theory of belief functions, also known as evidence theory or Dempster-Shafer theory, was first introduced by Arthur P. Dempster in the context of statistical inference, and was later developed by Glenn Shafer as a general framework for modeling epistemic uncertainty. These early contributions have been the starting points of many important developments, including the Transferable Belief Model and the Theory of Hints. The theory of belief functions is now well established as a general framework for reasoning with uncertainty, and has well understood connections to other frameworks such as probability, possibility and imprecise probability theories. This volume contains the proceedings of the 2nd International Conference on Belief Functions that was held in Compiègne, France on 9-11 May 2012. It gathers 51 contributions describing recent developments both on theoretical issues (including approximation methods, combination rules, continuous belief functions, graphical models and independence concepts) and applications in various areas including classification, image processing, statistics and intelligent vehicles.

Belief Functions: Theory and Applications

Sébastien Destercke,Thierry Denoeux,Fabio Cuzzolin,Arnaud Martin
Belief Functions Theory and Applications Book PDF

Author : Sébastien Destercke,Thierry Denoeux,Fabio Cuzzolin,Arnaud Martin
Publisher : Springer
Page : 280 pages
File Size : 40,8 Mb
Release : 2018-09-07
Category : Computers
ISBN : 9783319993836

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Belief Functions: Theory and Applications by Sébastien Destercke,Thierry Denoeux,Fabio Cuzzolin,Arnaud Martin Pdf

This book constitutes the refereed proceedings of the 5th International Conference on Belief Functions, BELIEF 2018, held in Compiègne, France, in September 2018.The 33 revised regular papers presented in this book were carefully selected and reviewed from 73 submissions. The papers were solicited on theoretical aspects (including for example statistical inference, mathematical foundations, continuous belief functions) as well as on applications in various areas including classification, statistics, data fusion, network analysis and intelligent vehicles.

Classic Works of the Dempster-Shafer Theory of Belief Functions

Ronald R. Yager,Liping Liu
Classic Works of the Dempster Shafer Theory of Belief Functions Book PDF

Author : Ronald R. Yager,Liping Liu
Publisher : Springer
Page : 806 pages
File Size : 53,5 Mb
Release : 2008-01-22
Category : Technology & Engineering
ISBN : 9783540447924

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Classic Works of the Dempster-Shafer Theory of Belief Functions by Ronald R. Yager,Liping Liu Pdf

This is a collection of classic research papers on the Dempster-Shafer theory of belief functions. The book is the authoritative reference in the field of evidential reasoning and an important archival reference in a wide range of areas including uncertainty reasoning in artificial intelligence and decision making in economics, engineering, and management. The book includes a foreword reflecting the development of the theory in the last forty years.

Belief Functions: Theory and Applications

Jiřina Vejnarová,Václav Kratochvíl
Belief Functions Theory and Applications Book PDF

Author : Jiřina Vejnarová,Václav Kratochvíl
Publisher : Springer
Page : 251 pages
File Size : 53,5 Mb
Release : 2016-09-07
Category : Computers
ISBN : 9783319455594

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Belief Functions: Theory and Applications by Jiřina Vejnarová,Václav Kratochvíl Pdf

This book constitutes the thoroughly refereed proceedings of the 4th International Conference on Belief Functions, BELIEF 2016, held in Prague, Czech Republic, in September 2016. The 25 revised full papers presented in this book were carefully selected and reviewed from 33 submissions. The papers describe recent developments of theoretical issues and applications in various areas such as combination rules; conflict management; generalized information theory; image processing; material sciences; navigation.

Belief Functions: Theory and Applications

Fabio Cuzzolin
Belief Functions Theory and Applications Book PDF

Author : Fabio Cuzzolin
Publisher : Springer
Page : 450 pages
File Size : 54,7 Mb
Release : 2014-09-05
Category : Computers
ISBN : 9783319111919

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Belief Functions: Theory and Applications by Fabio Cuzzolin Pdf

This book constitutes the thoroughly refereed proceedings of the Third International Conference on Belief Functions, BELIEF 2014, held in Oxford, UK, in September 2014. The 47 revised full papers presented in this book were carefully selected and reviewed from 56 submissions. The papers are organized in topical sections on belief combination; machine learning; applications; theory; networks; information fusion; data association; and geometry.

Belief Functions: Theory and Applications

Sylvie Le Hégarat-Mascle,Isabelle Bloch,Emanuel Aldea
Belief Functions Theory and Applications Book PDF

Author : Sylvie Le Hégarat-Mascle,Isabelle Bloch,Emanuel Aldea
Publisher : Springer Nature
Page : 318 pages
File Size : 46,6 Mb
Release : 2022-09-29
Category : Mathematics
ISBN : 9783031178016

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Belief Functions: Theory and Applications by Sylvie Le Hégarat-Mascle,Isabelle Bloch,Emanuel Aldea Pdf

This book constitutes the refereed proceedings of the 7th International Conference on Belief Functions, BELIEF 2022, held in Paris, France, in October 2022. The theory of belief functions is now well established as a general framework for reasoning with uncertainty, and has well-understood connections to other frameworks such as probability, possibility, and imprecise probability theories. It has been applied in diverse areas such as machine learning, information fusion, and pattern recognition. The 29 full papers presented in this book were carefully selected and reviewed from 31 submissions. The papers cover a wide range on theoretical aspects on mathematical foundations, statistical inference as well as on applications in various areas including classification, clustering, data fusion, image processing, and much more.

Belief Functions: Theory and Applications

Thierry Denœux,Eric Lefèvre,Zhunga Liu,Frédéric Pichon
Belief Functions Theory and Applications Book PDF

Author : Thierry Denœux,Eric Lefèvre,Zhunga Liu,Frédéric Pichon
Publisher : Springer Nature
Page : 309 pages
File Size : 52,6 Mb
Release : 2021-10-12
Category : Computers
ISBN : 9783030886011

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Belief Functions: Theory and Applications by Thierry Denœux,Eric Lefèvre,Zhunga Liu,Frédéric Pichon Pdf

This book constitutes the refereed proceedings of the 6th International Conference on Belief Functions, BELIEF 2021, held in Shanghai, China, in October 2021. The 30 full papers presented in this book were carefully selected and reviewed from 37 submissions. The papers cover a wide range on theoretical aspects on mathematical foundations, statistical inference as well as on applications in various areas including classification, clustering, data fusion, image processing, and much more.

Belief Functions

Sylvie Le Hégarat-Mascle,Isabelle Bloch,Emanuel Aldea
Belief Functions Book PDF

Author : Sylvie Le Hégarat-Mascle,Isabelle Bloch,Emanuel Aldea
Publisher : Unknown
Page : 0 pages
File Size : 44,8 Mb
Release : 2022
Category : Decision making
ISBN : 8303117807

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Belief Functions by Sylvie Le Hégarat-Mascle,Isabelle Bloch,Emanuel Aldea Pdf

This book constitutes the refereed proceedings of the 7th International Conference on Belief Functions, BELIEF 2022, held in Paris, France, in October 2022. The theory of belief functions is now well established as a general framework for reasoning with uncertainty, and has well-understood connections to other frameworks such as probability, possibility, and imprecise probability theories. It has been applied in diverse areas such as machine learning, information fusion, and pattern recognition. The 29 full papers presented in this book were carefully selected and reviewed from 31 submissions. The papers cover a wide range on theoretical aspects on mathematical foundations, statistical inference as well as on applications in various areas including classification, clustering, data fusion, image processing, and much more.

Belief Functions: Theory and Applications

Thierry Denœux,Eric Lefèvre,Zhunga Liu,Frédéric Pichon
Belief Functions Theory and Applications Book PDF

Author : Thierry Denœux,Eric Lefèvre,Zhunga Liu,Frédéric Pichon
Publisher : Unknown
Page : 0 pages
File Size : 50,7 Mb
Release : 2021
Category : Electronic
ISBN : 3030886026

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Belief Functions: Theory and Applications by Thierry Denœux,Eric Lefèvre,Zhunga Liu,Frédéric Pichon Pdf

This book constitutes the refereed proceedings of the 6th International Conference on Belief Functions, BELIEF 2021, held in Shanghai, China, in October 2021. The 30 full papers presented in this book were carefully selected and reviewed from 37 submissions. The papers cover a wide range on theoretical aspects on mathematical foundations, statistical inference as well as on applications in various areas including classification, clustering, data fusion, image processing, and much more.

Classic Works of the Dempster-Shafer Theory of Belief Functions

Ronald R. Yager,Liping Liu
Classic Works of the Dempster Shafer Theory of Belief Functions Book PDF

Author : Ronald R. Yager,Liping Liu
Publisher : Springer Science & Business Media
Page : 813 pages
File Size : 49,9 Mb
Release : 2008-02-22
Category : Mathematics
ISBN : 9783540253815

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Classic Works of the Dempster-Shafer Theory of Belief Functions by Ronald R. Yager,Liping Liu Pdf

This is a collection of classic research papers on the Dempster-Shafer theory of belief functions. The book is the authoritative reference in the field of evidential reasoning and an important archival reference in a wide range of areas including uncertainty reasoning in artificial intelligence and decision making in economics, engineering, and management. The book includes a foreword reflecting the development of the theory in the last forty years.

Belief Functions in Business Decisions

Rajendra P. Srivastava,Theodore J. Mock
Belief Functions in Business Decisions Book PDF

Author : Rajendra P. Srivastava,Theodore J. Mock
Publisher : Springer Science & Business Media
Page : 360 pages
File Size : 54,9 Mb
Release : 2002-03-25
Category : Business & Economics
ISBN : 3790814512

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Belief Functions in Business Decisions by Rajendra P. Srivastava,Theodore J. Mock Pdf

The book focuses on applications of belief functions to business decisions. Section I introduces the intuitive, conceptual and historical development of belief functions. Three different interpretations (the marginally correct approximation, the qualitative model, and the quantitative model) of belief functions are investigated, and rough set theory and structured query language (SQL) are used to express belief function semantics. Section II presents applications of belief functions in information systems and auditing. Included are discussions on how a belief-function framework provides a more efficient and effective audit methodology and also the appropriateness of belief functions to represent uncertainties in audit evidence. The third section deals with applications of belief functions to mergers and acquisitions; financial analysis of engineering enterprises; forecast demand for mobile satellite services; modeling financial portfolios; and economics.

Graphical Belief Modeling

Russel .G Almond
Graphical Belief Modeling Book PDF

Author : Russel .G Almond
Publisher : CRC Press
Page : 458 pages
File Size : 42,9 Mb
Release : 1995-11-30
Category : Mathematics
ISBN : 0412066610

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Graphical Belief Modeling by Russel .G Almond Pdf

This innovative volume explores graphical models using belief functions as a representation of uncertainty, offering an alternative approach to problems where probability proves inadequate. Graphical Belief Modeling makes it easy to compare the two approaches while evaluating their relative strengths and limitations. The author examines both theory and computation, incorporating practical notes from the author's own experience with the BELIEF software package. As one of the first volumes to apply the Dempster-Shafer belief functions to a practical model, a substantial portion of the book is devoted to a single example--calculating the reliability of a complex system. This special feature enables readers to gain a thorough understanding of the application of this methodology. The first section provides a description of graphical belief models and probablistic graphical models that form an important subset: the second section discusses the algorithm used in the manipulation of graphical models: the final segment of the book offers a complete description of the risk assessment example, as well as the methodology used to describe it. Graphical Belief Modeling offers researchers and graduate students in artificial intelligence and statistics more than just a new approach to an old reliability task: it provides them with an invaluable illustration of the process of graphical belief modeling.

A Mathematical Theory of Evidence

Glenn Shafer
A Mathematical Theory of Evidence Book PDF

Author : Glenn Shafer
Publisher : Princeton University Press
Page : 128 pages
File Size : 54,9 Mb
Release : 2020-06-30
Category : Mathematics
ISBN : 9780691214696

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A Mathematical Theory of Evidence by Glenn Shafer Pdf

Both in science and in practical affairs we reason by combining facts only inconclusively supported by evidence. Building on an abstract understanding of this process of combination, this book constructs a new theory of epistemic probability. The theory draws on the work of A. P. Dempster but diverges from Depster's viewpoint by identifying his "lower probabilities" as epistemic probabilities and taking his rule for combining "upper and lower probabilities" as fundamental. The book opens with a critique of the well-known Bayesian theory of epistemic probability. It then proceeds to develop an alternative to the additive set functions and the rule of conditioning of the Bayesian theory: set functions that need only be what Choquet called "monotone of order of infinity." and Dempster's rule for combining such set functions. This rule, together with the idea of "weights of evidence," leads to both an extensive new theory and a better understanding of the Bayesian theory. The book concludes with a brief treatment of statistical inference and a discussion of the limitations of epistemic probability. Appendices contain mathematical proofs, which are relatively elementary and seldom depend on mathematics more advanced that the binomial theorem.

The Laws of Belief

Wolfgang Spohn
The Laws of Belief Book PDF

Author : Wolfgang Spohn
Publisher : Oxford University Press
Page : 128 pages
File Size : 46,8 Mb
Release : 2012-03-29
Category : Philosophy
ISBN : 9780191629273

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The Laws of Belief by Wolfgang Spohn Pdf

Wolfgang Spohn presents the first full account of the dynamic laws of belief, by means of ranking theory. This book is his long-awaited presentation of ranking theory and its ramifications. He motivates and introduces the basic notion of a ranking function, which recognises degrees of belief and at the same time accounts for belief simpliciter. He provides a measurement theory for ranking functions, accounts for auto-epistemology in ranking-theoretic terms, and explicates the basic notion of a (deductive or non-deductive) reason. The rich philosophical applications of Spohn's theory include: a new account of lawlikeness, an account of ceteris paribus laws, a new perspective on dispositions, a rich and detailed theory of deterministic causation, an understanding of natural modalities as an objectification of epistemic modalities, an account of the experiential basis of belief—and thus a restructuring of the debate on foundationalism and coherentism (and externalism and contextualism)—and, finally, a revival of fundamental a priori principles of reason fathoming the basics of empiricism and the relation between reason and truth, and concluding in a proof of a weak principle of causality. All this is accompanied by thorough comparative discussions, on a general level as well as within each topic, and in particular with respect to probability theory.

Belief Functions in Business Decisions

Rajendra P. Srivastava,Theodore J. Mock
Belief Functions in Business Decisions Book PDF

Author : Rajendra P. Srivastava,Theodore J. Mock
Publisher : Physica
Page : 356 pages
File Size : 49,9 Mb
Release : 2013-11-11
Category : Business & Economics
ISBN : 9783790817980

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Belief Functions in Business Decisions by Rajendra P. Srivastava,Theodore J. Mock Pdf

The book focuses on applications of belief functions to business decisions. Section I introduces the intuitive, conceptual and historical development of belief functions. Three different interpretations (the marginally correct approximation, the qualitative model, and the quantitative model) of belief functions are investigated, and rough set theory and structured query language (SQL) are used to express belief function semantics. Section II presents applications of belief functions in information systems and auditing. Included are discussions on how a belief-function framework provides a more efficient and effective audit methodology and also the appropriateness of belief functions to represent uncertainties in audit evidence. The third section deals with applications of belief functions to mergers and acquisitions; financial analysis of engineering enterprises; forecast demand for mobile satellite services; modeling financial portfolios; and economics.