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Author: Marek Capinski
Publisher: Springer Science & Business Media
ISBN: 1447136314
Category : Mathematics
Languages : en
Pages : 229
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Book Description
This very well written and accessible book emphasizes the reasons for studying measure theory, which is the foundation of much of probability. By focusing on measure, many illustrative examples and applications, including a thorough discussion of standard probability distributions and densities, are opened. The book also includes many problems and their fully worked solutions.
Author: Marek Capinski
Publisher: Springer Science & Business Media
ISBN: 1447136314
Category : Mathematics
Languages : en
Pages : 229
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Book Description
This very well written and accessible book emphasizes the reasons for studying measure theory, which is the foundation of much of probability. By focusing on measure, many illustrative examples and applications, including a thorough discussion of standard probability distributions and densities, are opened. The book also includes many problems and their fully worked solutions.
Author: Basel Solaiman
Publisher: Springer Nature
ISBN: 3030328538
Category : Mathematics
Languages : en
Pages : 294
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Book Description
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.
Author: Didier Dubois
Publisher: Springer Science & Business Media
ISBN: 1468452878
Category : Mathematics
Languages : en
Pages : 274
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Book Description
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.
Author: Mark Burgin
Publisher: World Scientific
ISBN: 9814522694
Category : Business & Economics
Languages : en
Pages : 965
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Book Description
This book aims to synthesize different directions in knowledge studies into a unified theory of knowledge and knowledge processes. It explicates important relations between knowledge and information. It provides the readers with understanding of the essence and structure of knowledge, explicating operations and process that are based on knowledge and vital for society.The book also highlights how the theory of knowledge paves the way for more advanced design and utilization of computers and networks.
Author: Rosamund Stone Zander
Publisher: Harvard Business Press
ISBN: 0875847706
Category : Business & Economics
Languages : en
Pages : 219
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Book Description
In their playing you hear not only precision, color and balance, but thunder, lightning and the language of the heart. This is what the Boston Globe said about a performance by conductor Benjamin Zander with the Boston Philharmonic Orchestra, but it could apply equally to the Zanders' inspirational book, the product of a synthesis of the diverse worlds of the symphony orchestra and cutting-edge psychology. The Art of Possibility offers a set of breakthrough practices for creativity in all human enterprises. Infused with the energy of their dynamic partnership, the book joins together Ben's extraordinary talent as a mover and shaker, teacher, and communicator, with Rosamund Stone Zander's genius for creating innovative paradigms for personal and professional fulfillment. In lively counterpoint, the authors provide us with a deep sense of the powerful role that the notion of possibility can play in every aspect of our lives. The Zanders' deceptively simple practices are based on two premises: that life is composed as a story ("it's all invented") and that, with new definitions, much more is possible than people ordinarily think. The book shifts our perspective with uplifting stories, parables, and anecdotes from the authors' personal experiences as well as from famous and everyday heroes. From "Giving an A," to the mysterious "Rule Number 6," to "Leading from Any Chair"-the account of Ben's stunning realization that the conductor/leader's power is directly linked to how much greatness he is willing to grant to others-each practice offers an opportunity for personal and organizational transformation. The Art of Possibility provides a life-altering approach to fulfilling dreams large and small. The Zanders invite us all to become passionate communicators, leaders, and performers whose lives radiate possibility into the world. Rosamund Stone Zander is a family therapist and a landscape painter. Benjamin Zander is the conductor of the Boston Philharmonic Orchestra and a professor at the New England Conservatory of Music. Based on the principles developed through the authors' unique partnership, Mr. Zander gives presentations to managers and executives around the world and Ms. Zander conducts workshops for organizations on practicing the art of possibility.
Author: George J. Klir
Publisher: John Wiley & Sons
ISBN: 0471755567
Category : Technology & Engineering
Languages : en
Pages : 499
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Book Description
Deal with information and uncertainty properly and efficientlyusing tools emerging from generalized information theory Uncertainty and Information: Foundations of Generalized InformationTheory contains comprehensive and up-to-date coverage of resultsthat have emerged from a research program begun by the author inthe early 1990s under the name "generalized information theory"(GIT). This ongoing research program aims to develop a formalmathematical treatment of the interrelated concepts of uncertaintyand information in all their varieties. In GIT, as in classicalinformation theory, uncertainty (predictive, retrodictive,diagnostic, prescriptive, and the like) is viewed as amanifestation of information deficiency, while information isviewed as anything capable of reducing the uncertainty. A broadconceptual framework for GIT is obtained by expanding theformalized language of classical set theory to include moreexpressive formalized languages based on fuzzy sets of varioustypes, and by expanding classical theory of additive measures toinclude more expressive non-additive measures of varioustypes. This landmark book examines each of several theories for dealingwith particular types of uncertainty at the following fourlevels: * Mathematical formalization of the conceived type ofuncertainty * Calculus for manipulating this particular type ofuncertainty * Justifiable ways of measuring the amount of uncertainty in anysituation formalizable in the theory * Methodological aspects of the theory With extensive use of examples and illustrations to clarify complexmaterial and demonstrate practical applications, generoushistorical and bibliographical notes, end-of-chapter exercises totest readers' newfound knowledge, glossaries, and an Instructor'sManual, this is an excellent graduate-level textbook, as well as anoutstanding reference for researchers and practitioners who dealwith the various problems involving uncertainty and information. AnInstructor's Manual presenting detailed solutions to all theproblems in the book is available from the Wiley editorialdepartment.
Author: Ronald R. Yager
Publisher: Springer
ISBN: 354044792X
Category : Technology & Engineering
Languages : en
Pages : 813
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Book Description
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.
Author: Irina Georgescu
Publisher: Springer
ISBN: 3642247407
Category : Technology & Engineering
Languages : en
Pages : 130
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Book Description
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
Author:
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 536
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Book Description
Author: Didier J. Dubois
Publisher: Morgan Kaufmann
ISBN: 1483214508
Category : Computers
Languages : en
Pages : 929
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Book Description
Readings in Fuzzy Sets for Intelligent Systems is a collection of readings that explore the main facets of fuzzy sets and possibility theory and their use in intelligent systems. Basic notions in fuzzy set theory are discussed, along with fuzzy control and approximate reasoning. Uncertainty and informativeness, information processing, and membership, cognition, neural networks, and learning are also considered. Comprised of eight chapters, this book begins with a historical background on fuzzy sets and possibility theory, citing some forerunners who discussed ideas or formal definitions very close to the basic notions introduced by Lotfi Zadeh (1978). The reader is then introduced to fundamental concepts in fuzzy set theory, including symmetric summation and the setting of fuzzy logic; uncertainty and informativeness; and fuzzy control. Subsequent chapters deal with approximate reasoning; information processing; decision and management sciences; and membership, cognition, neural networks, and learning. Numerical methods for fuzzy clustering are described, and adaptive inference in fuzzy knowledge networks is analyzed. This monograph will be of interest to both students and practitioners in the fields of computer science, information science, applied mathematics, and artificial intelligence.
