Possibility Theory
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Possibility Theory
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Author : Didier Dubois
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Possibility Theory written by Didier Dubois and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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
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Author : Basel Solaiman
language : en
Publisher: Springer Nature
Release Date : 2019-12-26
Possibility Theory For The Design Of Information Fusion Systems written by Basel Solaiman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-26 with Mathematics categories.
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.
Possibility Theory With Applications To Data Analysis
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Author : Olaf Wolkenhauer
language : en
Publisher: Research Studies Press Limited
Release Date : 1998
Possibility Theory With Applications To Data Analysis written by Olaf Wolkenhauer and has been published by Research Studies Press Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
Possibility Theory
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Author : Didier Dubois
language : en
Publisher:
Release Date : 1986
Possibility Theory written by Didier Dubois and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Possibility Theory And The Risk
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Author : Irina Georgescu
language : en
Publisher: Springer
Release Date : 2012-01-12
Possibility Theory And The Risk written by Irina Georgescu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-12 with Technology & Engineering categories.
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
Probability Theory
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Author : E. T. Jaynes
language : en
Publisher: Cambridge University Press
Release Date : 2003-04-10
Probability Theory written by E. T. Jaynes and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-10 with Mathematics categories.
Index.
Fuzzy Set And Possibility Theory
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Author : Ronald R. Yager
language : en
Publisher:
Release Date : 1982
Fuzzy Set And Possibility Theory written by Ronald R. Yager and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.
Advances In Fuzzy Sets Possibility Theory And Applications
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Author : P.P. Wang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Advances In Fuzzy Sets Possibility Theory And Applications written by P.P. Wang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
A Course In Probability Theory
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Author : Kai Lai Chung
language : en
Publisher: Academic Press
Release Date : 2001
A Course In Probability Theory written by Kai Lai Chung and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
Since the publication of the first edition of this classic textbook over thirty years ago, tens of thousands of students have used A Course in Probability Theory. New in this edition is an introduction to measure theory that expands the market, as this treatment is more consistent with current courses. While there are several books on probability, Chung's book is considered a classic, original work in probability theory due to its elite level of sophistication.
Multiperson Decision Making Models Using Fuzzy Sets And Possibility Theory
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Author : J. Kacprzyk
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Multiperson Decision Making Models Using Fuzzy Sets And Possibility Theory written by J. Kacprzyk and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
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.