| 书目名称 | Non-Additive Measure and Integral | | 编辑 | Dieter Denneberg | | 视频video | | | 丛书名称 | Theory and Decision Library B | | 图书封面 |  | | 描述 | .Non-Additive Measure and Integral. is the firstsystematic approach to the subject. Much of the additive theory(convergence theorems, Lebesgue spaces, representation theorems) isgeneralized, at least for submodular measures which are characterizedby having a subadditive integral. The theory is of interest forapplications to economic decision theory (decisions under risk anduncertainty), to statistics (including belief functions, fuzzymeasures) to cooperative game theory, artificial intelligence,insurance, etc. ..Non-Additive Measure and Integral. collects the results ofscattered and often isolated approaches to non-additive measures andtheir integrals which originate in pure mathematics, potential theory,statistics, game theory, economic decision theory and other fields ofapplication. It unifies, simplifies and generalizes known results andsupplements the theory with new results, thus providing a sound basisfor applications and further research in this growing field ofincreasing interest. It also contains fundamental results ofsigma-additive and finitely additive measure and integration theoryand sheds new light on additive theory..Non-Additive Measureand. .Integral. employs distri | | 出版日期 | Book 1994 | | 关键词 | artificial intelligence; bounded mean oscillation; decision theory; game theory; linear optimization; mat | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-017-2434-0 | | isbn_softcover | 978-90-481-4404-4 | | isbn_ebook | 978-94-017-2434-0 | | copyright | Springer Science+Business Media Dordrecht 1994 |
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发表于 2025-3-21 18:26:05
