书目名称 | Generalized Measure Theory |
编辑 | Zhenyuan Wang,George J. Klir |
视频video | |
概述 | 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 interdisc |
丛书名称 | IFSR International Series in Systems Science and Systems Engineering |
图书封面 |  |
描述 | 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. |
出版日期 | Textbook 2009 |
关键词 | choquet integral; integral; integration; mathematical analysis; measure; measure theory |
版次 | 1 |
doi | https://doi.org/10.1007/978-0-387-76852-6 |
isbn_softcover | 978-1-4419-4576-1 |
isbn_ebook | 978-0-387-76852-6Series ISSN 1574-0463 Series E-ISSN 2698-5497 |
issn_series | 1574-0463 |
copyright | Springer-Verlag US 2009 |