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Generalized Measure Theory

By: Zhenyuan Wang George J. Klir (Author)

Ksh 8,100.00
Format :

Format(s): DRM PDF

ISBN-13: 9780387768526

Publisher: Springer US

Imprint: Springer

Publication Date: July 7th, 2010

Country of Publication: US

Language: English

Physical Edition EAN: 9780387768519

Category: Calculus & mathematical analysis , Integral calculus & equations

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  • Description

  • Author Bio

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.

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