| 书目名称 | Uncertainty Theory |
| 编辑 | Dr. Baoding Liu |
| 视频video | |
| 概述 | Completely rewritten second edition.Self contained, comprehensive and up-to-date presentation of uncertainty theory.Axiomatic approach to equip the reader to deal with uncertainty |
| 丛书名称 | Studies in Fuzziness and Soft Computing |
| 图书封面 |  |
| 描述 | It was generally believed that the study of probability theory was started by Pascal and Fermat in 1654 when they succeeded in deriving the exact probabilitiesforcertaingamblingproblem. Greatprogresswasachievedwhen VonMisesinitializedtheconceptofsamplespace, and?lledthegapebetween probability theory and measure theory in 1931. An axiomatic foundation of probabilitytheorywasgivenbyKolmogoro?inhisFoundationsofProbability Theory of 1933. Since then, probability theory has been developed steadily and has been widely applied in science and engineering. Probability theory will be introduced in Chapter 2. Fuzzy set was initiated by Zadeh via membership function in 1965, and was well developed and applied in a wide variety of real problems. In order to measure a fuzzy event, Zadeh proposed the concept of possibility measure in 1978. Although possibility measure has been widely used, it has no se- duality property. However, a self-dual measure is absolutely needed in both theory and practice. In order to de?ne a self-dual measure, Liu and Liu gave the concept of credibility measure in 2002. Credibility theory is a branch of mathematics that studies the behavior of fuzzy phenomena. An axioma |
| 出版日期 | Book 20072nd edition |
| 关键词 | Credibility Theory; Fuzzy Set; Operations Research; Probability Theory; Random Fuzzy Theory; Random Rough |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-3-540-73165-8 |
| isbn_softcover | 978-3-642-09217-6 |
| isbn_ebook | 978-3-540-73165-8Series ISSN 1434-9922 Series E-ISSN 1860-0808 |
| issn_series | 1434-9922 |
| copyright | Springer-Verlag Berlin Heidelberg 2007 |
发表于 2025-3-21 18:25:18
