科图分类法:
O144 版次:
中图分类法:
O144 版次:
著者:
Couso, Inés.
题名:
Random sets and random fuzzy sets as ill-perceived random variables : [ an introduction for Ph. D. students and practitioners /] / ,
出版发行:
出版地: Cham : 出版社: Springer, 出版日期: c2014.
载体形态:
viii, 97 p. : ill. ; 24 cm.
内容提要:
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 propos