Generalized Measure Theory

George J. Klir

ISBN 10: 0387768513 / ISBN 13: 9780387768519

Verlag: Springer US, Springer US, 2008

Beschreibung

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.

Bestandsnummer des Verkäufers 9780387768519

Bibliografische Details

• Titel: Generalized Measure Theory
• Verlag: Springer US, Springer US
• Erscheinungsjahr: 2008
• Sprache: Englisch
• ISBN-10: 0387768513
• ISBN-13: 9780387768519
• Einband: Buch
• Zustand: Neu
• Abmessungen: 241B x 160 H x 27 T Millimeter Breite: 241 mm, Höhe: 160 mm, Tiefe: 27 mm
• Gewicht: 764 Gramm

Über diesen Titel

Inhaltsangabe

Generalized Measure Theory examines the relatively new mathematical area of generalized measure theory. The exposition unfolds 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.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.