Random sets and random fuzzy sets as ill-perceived random variables an introduction for Ph.D. students and practitioners / [electronic resource] :
- 作者： Couso, Ines.
- 其他作者：
- 其他題名：
- SpringerBriefs in applied sciences and technology.
- 出版： Cham : Springer International Publishing :Imprint: Springer
- 叢書名： SpringerBriefs in applied sciences and technology, Computational intelligence,
- 主題： Random sets. , Fuzzy sets , Engineering , Computational intelligence , Artificial Intelligence (incl. Robotics) , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.
- ISBN： 9783319086118 (electronic bk.) 、 9783319086101 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
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讀者標籤：
- 系統號： 005121095 | 機讀編目格式
館藏資訊
This short book provides a unified view of the history and theory of random sets and fuzzy random variables, with special emphasis on its use for representing higher-order non-statistical uncertainty about statistical experiments. The authors lay bare the existence of two streams of works using the same mathematical ground, but differing form their use of sets, according to whether they represent objects of interest naturally taking the form of sets, or imprecise knowledge about such objects. Random (fuzzy) sets can be used in many fields ranging from mathematical morphology, economics, artificial intelligence, information processing and statistics per se, especially in areas where the outcomes of random experiments cannot be observed with full precision. This book also emphasizes the link between random sets and fuzzy sets with some techniques related to the theory of imprecise probabilities. This small book is intended for graduate and doctoral students in mathematics or engineering, but also provides an introduction for other researchers interested in this area. It is written from a theoretical perspective. However, rather than offering a comprehensive formal view of random (fuzzy) sets in this context, it aims to provide a discussion of the meaning of the proposed formal constructions based on many concrete examples and exercises. This book should enable the reader to understand the usefulness of representing and reasoning with incomplete information in statistical tasks. Each chapter ends with a list of exercises.