# Limit Theorems and Applications of Set-Valued and Fuzzy by Shoumei Li,Y. Ogura,V. Kreinovich PDF

By Shoumei Li,Y. Ogura,V. Kreinovich

After the pioneering works via Robbins {1944, 1945) and Choquet (1955), the notation of a set-valued random variable (called a random closed set in literatures) used to be systematically brought through Kendall {1974) and Matheron {1975). it truly is renowned that the speculation of set-valued random variables is a usual extension of that of common real-valued random variables or random vectors. even if, as a result of the topological constitution of the distance of closed units and detailed beneficial properties of set-theoretic operations ( cf. Beer [27]), set-valued random variables have many designated homes. this offers new meanings for the classical likelihood conception. end result of the improvement during this sector long ago greater than 30 years, the speculation of set-valued random variables with many purposes has develop into certainly one of new and energetic branches in likelihood conception. In perform additionally, we're usually confronted with random experiments whose results aren't numbers yet are expressed in inexact linguistic terms.

Read or Download Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables (Theory and Decision Library B) PDF

Similar logic books

Guerino Mazzola,Gérard Milmeister,Jody Weissmann's Comprehensive Mathematics for Computer Scientists 1: Sets PDF

Comprises all of the arithmetic that laptop scientists want to know in a single place.

Ist die Mathematik frei von Widersprüchen? Gibt es Wahrheiten jenseits des Beweisbaren? Ist es möglich, unser mathematisches Wissen in eine einzige Zahl hineinzucodieren? Die moderne mathematische Logik des zwanzigsten Jahrhunderts gibt verblüffende Antworten auf solche Fragen; Antworten, die die Mathematik in der gleichen Weise verändert haben wie die Einstein’sche Relativitätstheorie die Physik.

This e-book explores the numerous disciplinary and theoretical hyperlinks among language, linguistics, and arithmetic. It examines developments in linguistics, reminiscent of structuralism, conceptual metaphor thought, and different suitable theories, to express that language and arithmetic have an identical constitution, yet differential features, although one with out the opposite wouldn't exist.

Maxime Amblard,Philippe de Groote,Sylvain's Logical Aspects of Computational Linguistics. Celebrating 20 PDF

Edited below the auspices of the organization of good judgment, Language andInformation (FoLLI), this ebook constitutes the refereed court cases ofthe twentieth anniversary of the overseas convention on LogicalAspects of Computational Linguistics, LACL 2016, held in LORIA Nancy,France, in December 2016. the nineteen contributed papers, presentedtogether with four invited papers and six abstracts, have been carefullyreviewed and chosen from 38 submissions.

Extra resources for Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables (Theory and Decision Library B)

Example text

### Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables (Theory and Decision Library B) by Shoumei Li,Y. Ogura,V. Kreinovich

by Kevin
4.4

Rated 4.72 of 5 – based on 5 votes