This textbook provides an exhaustive review of generalized measures, from the theoretical background to the latest applications. It is designed as a main text for graduate courses on Generalized Measure Theory, Fuzzy Measure Theory, Theory of Nonadditive Measures and Theory of Monotone Measures. It can also be used as a reference in courses on Fuzzy Sets, Fuzzy Control and Fuzzy Logic.
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Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Most up-to-date textbook in the field, covering recent applicationsNumerous examples motivate the theory and exercises at the end of the chapter provide practice to the studentUseful to an interdisciplinary cadre of mathematicians, engineer. N° de réf. du vendeur 5911089
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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Generalized Measure Theory examines the relatively new mathematical area of generalized measure theory. The expositionunfolds systematically, beginning 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. 400 pp. Englisch. N° de réf. du vendeur 9780387768519
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Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Buch. Etat : Neu. Neuware -In 1992 we published a book entitled Fuzzy Measure Theory (Plenum Press, New York), in which the term ¿¿fuzzy measure¿¿ was used for set functions obtained by replacing the additivity requirement of classical measures with weaker requirements of monotonicity with respect to set inclusion and con- nuity. That is, the book dealt with nonnegative set functions that were mo- tone, vanished at the empty set, and possessed appropriate continuity properties when defined on infinite sets. It seems that Fuzzy Measure Theory was the only book available on the market at that time devoted to this emerging new mathematical theory. Some ten years after its publication we began to see that the subject had expanded so much that a second edition of the book, or even a new book on the subject, was needed. We eventually decided to write a new book because the new material we wished to include was too extensive for¿and far beyond the usual scope¿of a second edition. More importantly, we felt that some fundamental changes regarding this topic¿s scope and terminology would be desirable and timely.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 400 pp. Englisch. N° de réf. du vendeur 9780387768519
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Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - In 1992 we published a book entitled Fuzzy Measure Theory (Plenum Press, New York), in which the term ''fuzzy measure'' was used for set functions obtained by replacing the additivity requirement of classical measures with weaker requirements of monotonicity with respect to set inclusion and con- nuity. That is, the book dealt with nonnegative set functions that were mo- tone, vanished at the empty set, and possessed appropriate continuity properties when defined on infinite sets. It seems that Fuzzy Measure Theory was the only book available on the market at that time devoted to this emerging new mathematical theory. Some ten years after its publication we began to see that the subject had expanded so much that a second edition of the book, or even a new book on the subject, was needed. We eventually decided to write a new book because the new material we wished to include was too extensive for-and far beyond the usual scope-of a second edition. More importantly, we felt that some fundamental changes regarding this topic's scope and terminology would be desirable and timely. N° de réf. du vendeur 9780387768519
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Vendeur : THE SAINT BOOKSTORE, Southport, Royaume-Uni
Hardback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 765. N° de réf. du vendeur C9780387768519
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Vendeur : Revaluation Books, Exeter, Royaume-Uni
Hardcover. Etat : Brand New. 1st edition. 416 pages. 9.50x6.25x0.75 inches. In Stock. N° de réf. du vendeur x-0387768513
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