Possibility Theory

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Possibility Theory

Author : Didier Dubois
Publisher : Springer Science & Business Media
ISBN 13 : 1468452878
Total Pages : 274 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Possibility Theory by : Didier Dubois

Download or read book Possibility Theory written by Didier Dubois and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the evolution of scientific theories, concern with uncertainty is almost invariably a concomitant of maturation. This is certainly true of the evolution· of physics, economics, operations research, communication sciences, and a host of other fields. And it is true of what has been happening more recently in the area of artificial intelligence, most notably in the development of theories relating to the management of uncertainty in knowledge-based systems. In science, it is traditional to deal with uncertainty through the use of probability theory. In recent years, however, it has become increasingly clear that there are some important facets of uncertainty which do not lend themselves to analysis by classical probability-based methods. One such facet is that of lexical elasticity, which relates to the fuzziness of words in natural languages. As a case in point, even a simple relation X, Y, and Z, expressed as if X is small and Y is very large then between Z is not very small, does not lend itself to a simple interpretation within the framework of probability theory by reason of the lexical elasticity of the predicates small and large.

Possibility Theory for the Design of Information Fusion Systems

Author : Basel Solaiman
Publisher : Springer Nature
ISBN 13 : 3030328538
Total Pages : 294 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Possibility Theory for the Design of Information Fusion Systems by : Basel Solaiman

Download or read book Possibility Theory for the Design of Information Fusion Systems written by Basel Solaiman and published by Springer Nature. This book was released on 2019-12-26 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical guidebook describes the basic concepts, the mathematical developments, and the engineering methodologies for exploiting possibility theory for the computer-based design of an information fusion system where the goal is decision support for industries in smart ICT (information and communications technologies). This exploitation of possibility theory improves upon probability theory, complements Dempster-Shafer theory, and fills an important gap in this era of Big Data and Internet of Things. The book discusses fundamental possibilistic concepts: distribution, necessity measure, possibility measure, joint distribution, conditioning, distances, similarity measures, possibilistic decisions, fuzzy sets, fuzzy measures and integrals, and finally, the interrelated theories of uncertainty..uncertainty. These topics form an essential tour of the mathematical tools needed for the latter chapters of the book. These chapters present applications related to decision-making and pattern recognition schemes, and finally, a concluding chapter on the use of possibility theory in the overall challenging design of an information fusion system. This book will appeal to researchers and professionals in the field of information fusion and analytics, information and knowledge processing, smart ICT, and decision support systems.

Probability

Author : Rick Durrett
Publisher : Cambridge University Press
ISBN 13 : 113949113X
Total Pages : pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Probability by : Rick Durrett

Download or read book Probability written by Rick Durrett and published by Cambridge University Press. This book was released on 2010-08-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.

Possibility Theory and the Risk

Author : Irina Georgescu
Publisher : Springer
ISBN 13 : 3642247407
Total Pages : 130 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Possibility Theory and the Risk by : Irina Georgescu

Download or read book Possibility Theory and the Risk written by Irina Georgescu and published by Springer. This book was released on 2012-01-12 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with some of the fundamental issues of risk assessment in grid computing environments. The book describes the development of a hybrid probabilistic and possibilistic model for assessing the success of a computing task in a grid environment

A Combinatorial Theory of Possibility

Author : D. M. Armstrong
Publisher : Cambridge University Press
ISBN 13 : 9780521377805
Total Pages : 174 pages
Book Rating : 4.3/5 (778 download)

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Book Synopsis A Combinatorial Theory of Possibility by : D. M. Armstrong

Download or read book A Combinatorial Theory of Possibility written by D. M. Armstrong and published by Cambridge University Press. This book was released on 1989-09-29 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preface Part I. Non-Naturalist Theories of Possibility: 1. Causal argument 2. Non-Naturalist theories of possibility Part II. A Combinatorial and Naturalist Account of Possibility: 3. Possibility in a simple world 4. Expanding and contracting the world 5. Relative atoms 6. Are there de re incompatibilities and necessities? 7. Higher-order entities, negation and causation 8. Supervenience 9. Mathematics 10. Final questions: logic Works cited Appendix: Tractarian Nominalism Brian Skyrms Index.

Introduction to Probability Models

Author : Sheldon M. Ross
Publisher : Academic Press
ISBN 13 : 0123756871
Total Pages : 801 pages
Book Rating : 4.1/5 (237 download)

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Book Synopsis Introduction to Probability Models by : Sheldon M. Ross

Download or read book Introduction to Probability Models written by Sheldon M. Ross and published by Academic Press. This book was released on 2006-12-11 with total page 801 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Probability Models, Tenth Edition, provides an introduction to elementary probability theory and stochastic processes. There are two approaches to the study of probability theory. One is heuristic and nonrigorous, and attempts to develop in students an intuitive feel for the subject that enables him or her to think probabilistically. The other approach attempts a rigorous development of probability by using the tools of measure theory. The first approach is employed in this text. The book begins by introducing basic concepts of probability theory, such as the random variable, conditional probability, and conditional expectation. This is followed by discussions of stochastic processes, including Markov chains and Poison processes. The remaining chapters cover queuing, reliability theory, Brownian motion, and simulation. Many examples are worked out throughout the text, along with exercises to be solved by students. This book will be particularly useful to those interested in learning how probability theory can be applied to the study of phenomena in fields such as engineering, computer science, management science, the physical and social sciences, and operations research. Ideally, this text would be used in a one-year course in probability models, or a one-semester course in introductory probability theory or a course in elementary stochastic processes. New to this Edition: - 65% new chapter material including coverage of finite capacity queues, insurance risk models and Markov chains - Contains compulsory material for new Exam 3 of the Society of Actuaries containing several sections in the new exams - Updated data, and a list of commonly used notations and equations, a robust ancillary package, including a ISM, SSM, and test bank - Includes SPSS PASW Modeler and SAS JMP software packages which are widely used in the field Hallmark features: - Superior writing style - Excellent exercises and examples covering the wide breadth of coverage of probability topics - Real-world applications in engineering, science, business and economics

Advances in Fuzzy Sets, Possibility Theory, and Applications

Author : P.P. Wang
Publisher : Springer Science & Business Media
ISBN 13 : 1461337542
Total Pages : 421 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Advances in Fuzzy Sets, Possibility Theory, and Applications by : P.P. Wang

Download or read book Advances in Fuzzy Sets, Possibility Theory, and Applications written by P.P. Wang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its inception by Professor Lotfi Zadeh about 18 years ago, the theory of fuzzy sets has evolved in many directions, and is finding applications in a wide variety of fields in which the phenomena under study are too complex or too ill-defined to be analyzed by conventional techniques. Thus, by providing a basis for a systematic approach to approximate reasoning and inexact inference, the theory of fuzzy sets may well have a substantial impact on scientific methodology in the years ahead, particularly in the realms of psychology, economics, engineering, law, medicine, decision-analysis, information retrieval, and artificial intelli gence. This volume consists of 24 selected papers invited by the editor, Professor Paul P. Wang. These papers cover the theory and applications of fuzzy sets, almost equal in number. We are very fortunate to have Professor A. Kaufmann to contribute an overview paper of the advances in fuzzy sets. One special feature of this volume is the strong participation of Chinese researchers in this area. The fact is that Chinese mathematicians, scientists and engineers have made important contributions to the theory and applications of fuzzy sets through the past decade. However, not until the visit of Professor A. Kaufmann to China in 1974 and again in 1980, did the Western World become fully aware of the important work of Chinese researchers. Now, Professor Paul Wang has initiated the effort to document these important contributions in this volume to expose them to the western researchers.

Probability Theory

Author : IntroBooks
Publisher : IntroBooks
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4./5 ( download)

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Book Synopsis Probability Theory by : IntroBooks

Download or read book Probability Theory written by IntroBooks and published by IntroBooks. This book was released on 2018-02-21 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: Events are a kind of abstraction achieved through mathematical process. This abstraction is done on the base of non-deterministic events. Measured quantities can also be used for such abstraction. Measured quantities can be single occurrence or also follow random fashion for time evolving multiple occurrences. Making predictions about the outcome of random events is not always easy or even impossible sometimes. However, if influences are made on sequence of individual events, they will tend to follow certain patterns that are much easy to study, practice and predict. For instance, if outcome of coin flipping or roll of dice is influenced by outer factors such as friction, they will follow a specific pattern when proving outcome. Once this certain pattern is figured out and understood properly, it becomes much easier to predict the outcome with maximum accuracy. It means that it is hard to understand future outcome of subsequent random events that makes it hard to predict them. However, it is easy to predict pattern exhibited by these group of events that makes it easy to predict them and their corresponding events also. To describe such patterns certain mathematical results or concepts are used. Law of large numbers and central limit theorem are two main concepts that are used to study and describe such patterns followed by sequential random events.

Probability Theory

Author :
Publisher : Allied Publishers
ISBN 13 : 9788177644517
Total Pages : 436 pages
Book Rating : 4.6/5 (445 download)

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Book Synopsis Probability Theory by :

Download or read book Probability Theory written by and published by Allied Publishers. This book was released on 2013 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability theory

Uncertainty Theory

Author : Baoding Liu
Publisher : Springer
ISBN 13 : 3540731652
Total Pages : 263 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Uncertainty Theory by : Baoding Liu

Download or read book Uncertainty Theory written by Baoding Liu and published by Springer. This book was released on 2007-09-14 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Optimization Models Using Fuzzy Sets and Possibility Theory

Author : J. Kacprzyk
Publisher : Springer Science & Business Media
ISBN 13 : 9400938691
Total Pages : 465 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Optimization Models Using Fuzzy Sets and Possibility Theory by : J. Kacprzyk

Download or read book Optimization Models Using Fuzzy Sets and Possibility Theory written by J. Kacprzyk and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization is of central concern to a number of discip lines. Operations Research and Decision Theory are often consi dered to be identical with optimizationo But also in other areas such as engineering design, regional policy, logistics and many others, the search for optimal solutions is one of the prime goals. The methods and models which have been used over the last decades in these areas have primarily been "hard" or "crisp", i. e. the solutions were considered to be either fea sible or unfeasible, either above a certain aspiration level or below. This dichotomous structure of methods very often forced the modeller to approximate real problem situations of the more-or-less type by yes-or-no-type models, the solutions of which might turn out not to be the solutions to the real prob lems. This is particularly true if the problem under considera tion includes vaguely defined relationships, human evaluations, uncertainty due to inconsistent or incomplete evidence, if na tural language has to be modelled or if state variables can only be described approximately. Until recently, everything which was not known with cer tainty, i. e. which was not known to be either true or false or which was not known to either happen with certainty or to be impossible to occur, was modelled by means of probabilitieso This holds in particular for uncertainties concerning the oc currence of events.

Handbook of Fuzzy Computation

Author : E Ruspini
Publisher : CRC Press
ISBN 13 : 1420050397
Total Pages : 1229 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Fuzzy Computation by : E Ruspini

Download or read book Handbook of Fuzzy Computation written by E Ruspini and published by CRC Press. This book was released on 2020-03-05 with total page 1229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Initially conceived as a methodology for the representation and manipulation of imprecise and vague information, fuzzy computation has found wide use in problems that fall well beyond its originally intended scope of application. Many scientists and engineers now use the paradigms of fuzzy computation to tackle problems that are either intractable

Foundations of Modern Probability

Author : Olav Kallenberg
Publisher : Springer Science & Business Media
ISBN 13 : 9780387953137
Total Pages : 670 pages
Book Rating : 4.9/5 (531 download)

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Book Synopsis Foundations of Modern Probability by : Olav Kallenberg

Download or read book Foundations of Modern Probability written by Olav Kallenberg and published by Springer Science & Business Media. This book was released on 2002-01-08 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this single volume on the theory of probability has become a highly-praised standard reference for many areas of probability theory. Chapters from the first edition have been revised and corrected, and this edition contains four new chapters. New material covered includes multivariate and ratio ergodic theorems, shift coupling, Palm distributions, Harris recurrence, invariant measures, and strong and weak ergodicity.

Introduction to Probability

Author : David F. Anderson
Publisher : Cambridge University Press
ISBN 13 : 110824498X
Total Pages : 447 pages
Book Rating : 4.1/5 (82 download)

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Book Synopsis Introduction to Probability by : David F. Anderson

Download or read book Introduction to Probability written by David F. Anderson and published by Cambridge University Press. This book was released on 2017-11-02 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.

Probability and Measure

Author : Patrick Billingsley
Publisher : John Wiley & Sons
ISBN 13 : 9788126517718
Total Pages : 612 pages
Book Rating : 4.5/5 (177 download)

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Book Synopsis Probability and Measure by : Patrick Billingsley

Download or read book Probability and Measure written by Patrick Billingsley and published by John Wiley & Sons. This book was released on 2017 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its new third edition, Probability and Measure offers advanced students, scientists, and engineers an integrated introduction to measure theory and probability. Retaining the unique approach of the previous editions, this text interweaves material on probability and measure, so that probability problems generate an interest in measure theory and measure theory is then developed and applied to probability. Probability and Measure provides thorough coverage of probability, measure, integration, random variables and expected values, convergence of distributions, derivatives and conditional probability, and stochastic processes. The Third Edition features an improved treatment of Brownian motion and the replacement of queuing theory with ergodic theory.· Probability· Measure· Integration· Random Variables and Expected Values· Convergence of Distributions· Derivatives and Conditional Probability· Stochastic Processes

Multiperson Decision Making Models Using Fuzzy Sets and Possibility Theory

Author : J. Kacprzyk
Publisher : Springer Science & Business Media
ISBN 13 : 9400921098
Total Pages : 349 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Multiperson Decision Making Models Using Fuzzy Sets and Possibility Theory by : J. Kacprzyk

Download or read book Multiperson Decision Making Models Using Fuzzy Sets and Possibility Theory written by J. Kacprzyk and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Decision making is certainly a very crucial component of many human activities. It is, therefore, not surprising that models of decisions play a very important role not only in decision theory but also in areas such as operations Research, Management science, social Psychology etc . . The basic model of a decision in classical normative decision theory has very little in common with real decision making: It portrays a decision as a clear-cut act of choice, performed by one individual decision maker and in which states of nature, possible actions, results and preferences are well and crisply defined. The only compo nent in which uncertainty is permitted is the occurence of the different states of nature, for which probabilistic descriptions are allowed. These probabilities are generally assumed to be known numerically, i. e. as single probabili ties or as probability distribution functions. Extensions of this basic model can primarily be conceived in three directions: 1. Rather than a single decision maker there are several decision makers involved. This has lead to the areas of game theory, team theory and group decision theory. 2. The preference or utility function is not single valued but rather vector valued. This extension is considered in multiattribute utility theory and in multicritieria analysis. 3.

Possibility for Decision

Author : Christer Carlsson
Publisher : Springer
ISBN 13 : 3642226426
Total Pages : 257 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Possibility for Decision by : Christer Carlsson

Download or read book Possibility for Decision written by Christer Carlsson and published by Springer. This book was released on 2011-07-25 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book starts with the basic concepts of fuzzy sets and progresses through a normative view on possibility distributions and OWA operators in multiple criteria decisions. Five applications (that all build on experience from solving complex real world problems) of possibility distributions to strategic decisions about closing/not closing a production plant using fuzzy real options, portfolio selection with imprecise future data, predictive probabilities and possibilities for risk assessment in grid computing, fuzzy ontologies for process industry, and design (and implementation) of mobile value services are presented and carefully discussed. It can be useful for researchers and students working in soft computing, real options, fuzzy decision making, grid computing, knowledge mobilization and mobile value services.