Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables (Hardcover, 2002 ed.)

After the pioneering works by Robbins {1944, 1945) and Choquet (1955), the notation of a set-valued random variable (called a random closed set in literatures) was systematically introduced by Kendall {1974) and Matheron {1975). It is well known that the theory of set-valued random variables is a natural extension of that of general real-valued random variables or random vectors. However, owing to the topological structure of the space of closed sets and special features of set-theoretic operations ( cf. Beer [27]), set-valued random variables have many special properties. This gives new meanings for the classical probability theory. As a result of the development in this area in the past more than 30 years, the theory of set-valued random variables with many applications has become one of new and active branches in probability theory. In practice also, we are often faced with random experiments whose outcomes are not numbers but are expressed in inexact linguistic terms.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Theory and Decision Library B, 43
Release date:	October 2002
First published:	2002
Authors:	Shoumei Li • Y. Ogura • V. Kreinovich
Dimensions:	235 x 155 x 23mm (L x W x T)
Format:	Hardcover
Pages:	394
Edition:	2002 ed.
ISBN-13:	978-1-4020-0918-1
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > Set theory Books > Science & Mathematics > Mathematics > Applied mathematics > Fuzzy set theory Promotions
LSN:	1-4020-0918-6
Barcode:	9781402009181

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