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Titlebook: Random Sets and Random Fuzzy Sets as Ill-Perceived Random Variables; An Introduction for Inés Couso,Didier Dubois,Luciano Sánchez Book 201

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發(fā)表于 2025-3-21 17:11:10 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Random Sets and Random Fuzzy Sets as Ill-Perceived Random Variables
副標(biāo)題An Introduction for
編輯Inés Couso,Didier Dubois,Luciano Sánchez
視頻videohttp://file.papertrans.cn/822/821083/821083.mp4
概述Includes supplementary material:
叢書(shū)名稱SpringerBriefs in Applied Sciences and Technology
圖書(shū)封面Titlebook: Random Sets and Random Fuzzy Sets as Ill-Perceived Random Variables; An Introduction for Inés Couso,Didier Dubois,Luciano Sánchez Book 201
描述.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 (f
出版日期Book 2014
關(guān)鍵詞Fuzzy Random Variables; Imprecise Probabilities; Random Fuzzy Sets; Random Sets
版次1
doihttps://doi.org/10.1007/978-3-319-08611-8
isbn_softcover978-3-319-08610-1
isbn_ebook978-3-319-08611-8Series ISSN 2191-530X Series E-ISSN 2191-5318
issn_series 2191-530X
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Introduction,ions. They have been given a full-fledged mathematical development by Kendall [10] and Matheron [16]. Random sets seem to have been originally used to handle uncertainty in spatial information, namely to tackle uncertainty in the definitions of geographical areas, in mathematical morphology, and in
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Random Sets as Ill-Perceived Random Variables, different fields such as economy, stochastic geometry and ill-observed random objects. Roughly speaking, a random set is a random element in a family of subsets of a certain universe. In particular, we can compute the probabilities that a random set hits a given set, or is included in this set, or
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Random Sets as Ill-Perceived Random Variables,yet includes it. In parallel and quite independently of this literature, random sets appear (but for the name) in the late sixties in the pioneering works of Dempster [16], who considers multimappings from a probability space to another space of interest.
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2191-530X 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 (f978-3-319-08610-1978-3-319-08611-8Series ISSN 2191-530X Series E-ISSN 2191-5318
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