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Zhenyuan Wang#George J. Klir:

Generalized Measure Theory - new book

2010, ISBN: 9780387768526

Generalized Measure Theory examines the relatively new mathematical area of generalized measure theory. The exposition unfolds systematically, beginning with preliminaries and new concept… More...

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Generalized Measure Theory - George J. Klir, Zhenyuan Wang
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George J. Klir, Zhenyuan Wang:

Generalized Measure Theory - new book

ISBN: 9780387768526

Generalized Measure Theory examines the relatively new mathematical area of generalized measure theory. The exposition unfolds systematically, beginning with preliminaries and new concept… More...

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Zhenyuan Wang/ George J. Klir:
Generalized Measure Theory - new book

ISBN: 9780387768526

Generalized Measure Theory: ab 69.49 € eBooks > Fachthemen & Wissenschaft > Wissenschaften allgemein Springer-Verlag GmbH, Springer-Verlag GmbH

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Zhenyuan Wang; George J. Klir:
Generalized Measure Theory - First edition

2010, ISBN: 9780387768526

eBooks, eBook Download (PDF), Auflage, [PU: Springer-Verlag], [ED: 1], Springer-Verlag, 2010

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George J. Klir; Zhenyuan Wang:
Generalized Measure Theory - First edition

2010, ISBN: 9780387768526

eBooks, eBook Download (PDF), Auflage, [PU: Springer US], [ED: 1], Springer US, 2010

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Generalized Measure Theory
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9780387768526

Details of the book - Generalized Measure Theory


EAN (ISBN-13): 9780387768526
Publishing year: 2010
Publisher: Springer-Verlag

Book in our database since 2009-01-23T00:43:04-05:00 (New York)
Detail page last modified on 2022-04-14T16:53:27-04:00 (New York)
ISBN/EAN: 9780387768526

ISBN - alternate spelling:
978-0-387-76852-6
Alternate spelling and related search-keywords:
Book title: measure theory, general theory, the last measure, how measure anything

Information from Publisher

Author: Zhenyuan Wang; George J. Klir
Title: Ifsr International Series on Systems Science and Engineering; Generalized Measure Theory
Publisher: Springer; Springer US
384 Pages
Publishing year: 2010-07-07
New York; NY; US
Language: English
53,49 € (DE)
55,00 € (AT)
59,00 CHF (CH)
Available
XVI, 384 p. 25 illus.

EA; E107; eBook; Nonbooks, PBS / Mathematik/Analysis; Integralrechnung und -gleichungen; Verstehen; choquet integral; integral; integration; mathematical analysis; measure; measure theory; B; Measure and Integration; Mathematical Logic and Foundations; Systems Theory, Control; Mathematics and Statistics; Mathematik: Logik; Mathematische Grundlagen; Kybernetik und Systemtheorie; BB

This comprehensive text examines the relatively new mathematical area of generalized measure theory. This area expands classical measure theory by abandoning the requirement of additivity and replacing it with various weaker requirements. Each of these weaker requirements characterizes a class of nonadditive measures. This results in new concepts and methods that allow us to deal with many problems in a more realistic way. For example, it allows us to work with imprecise probabilities. The exposition of generalized measure theory unfolds systematically. It begins with preliminaries and new concepts, followed by a detailed treatment of important new results regarding various types of nonadditive measures and the associated integration theory. The latter involves several types of integrals: Sugeno integrals, Choquet integrals, pan-integrals, and lower and upper integrals. All of the topics are motivated by numerous examples, culminating in a final chapter on applications of generalized measure theory. Some key features of the book include: many exercises at the end of each chapter along with relevant historical and bibliographical notes, an extensive bibliography, and name and subject indices. The work is suitable for a classroom setting at the graduate level in courses or seminars in applied mathematics, computer science, engineering, and some areas of science. A sound background in mathematical analysis is required. Since the book contains many original results by the authors, it will also appeal to researchers working in the emerging area of generalized measure theory. About the Authors: Zhenyuan Wang is currently a Professor in the Department of Mathematics of University of Nebraska at Omaha. His research interests have been in the areas of nonadditive measures, nonlinear integrals, probability and statistics, and data mining. He has published one book and many papers in these areas. George J. Kliris currently a Distinguished Professor of Systems Science at Binghamton University (SUNY at Binghamton). He has published 29 books and well over 300 papers in a wide range of areas. His current research interests are primarily in the areas of fuzzy systems, soft computing, and generalized information theory.
Most up-to-date textbook in the field, covering recent applications Numerous examples motivate the theory and exercises at the end of the chapter provide practice to the student Useful to an interdisciplinary cadre of mathematicians, engineers, computer scientists and specialists working in decision making Includes supplementary material: sn.pub/extras;
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