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Random Sets and Random Fuzzy Sets as Ill-Perceived Random Variables
Couso, Ines; Dubois, Didier; Sanchez, Luciano
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Description for Random Sets and Random Fuzzy Sets as Ill-Perceived Random Variables
Paperback. Series: SpringerBriefs in Applied Sciences and Technology/ SpringerBriefs in Computational Intelligence. Num Pages: 105 pages, 8 black & white illustrations, biography. BIC Classification: PBT; UYQ. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 6. Weight in Grams: 180.
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. Show Less
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 ... Read more
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. Show Less
Product Details
Format
Paperback
Publication date
2014
Publisher
Springer International Publishing AG Switzerland
Number of pages
105
Condition
New
Series
SpringerBriefs in Applied Sciences and Technology/ SpringerBriefs in Computational Intelligence
Number of Pages
97
Place of Publication
Cham, Switzerland
ISBN
9783319086101
SKU
V9783319086101
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Random Sets and Random Fuzzy Sets as Ill-Perceived Random Variables
“The book under review presents a mathematically based description of the theory of random sets and fuzzy random sets as representations of ill-observed random variables or partially known conditional probabilities. … This publication can be treated as a good introductory textbook for everyone who is interested in the theory of ill-observed random variables.” (Marek T. Malinowski, Mathematical Reviews, November, 2015) ... Read more