Random Sets and Random Fuzzy Sets as Ill-Perceived Random Variables

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Beschreibung

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.

Provides a concise introduction to Random Sets and Random Fuzzy Sets as Ill-Perceived Random Variables

Aiming at Ph.D. Students and Practitioners

State-of-Art book



Inhalt
Introduction.- Random sets as ill-perceived random variables.- Random fuzzy sets as ill-perceived random variables.

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Produktinformationen

Titel
Random Sets and Random Fuzzy Sets as Ill-Perceived Random Variables
Untertitel
An Introduction for Ph.D. Students and Practitioners
Autor
EAN
9783319086101
ISBN
978-3-319-08610-1
Format
Kartonierter Einband
Herausgeber
Springer, Berlin
Genre
Informatik
Anzahl Seiten
97
Gewicht
178g
Größe
H6mm x B235mm x T155mm
Jahr
2014
Untertitel
Englisch
Auflage
2014
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