• A constructive numerical metho...

Treffer: A constructive numerical method for the comparison of intervals

Title:
A constructive numerical method for the comparison of intervals
Authors:
SEVASTJANOV, Pavel V, ROGL, Pawel, VENBERG, Andrey V
Source:
PPAM 2001 : parallel processing and applied mathematics (Naleczow, 9-12 September 2001, revised papers)Lecture notes in computer science. :756-761
Publisher Information:
Berlin: Springer, 2002.
Publication Year:
2002
Physical Description:
print, 14 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Probabilités et statistiques numériques, Numerical methods in probability and statistics, Approche probabiliste, Probabilistic approach, Enfoque probabilista, Loi uniforme, Uniform distribution, Ley uniforme, Méthode numérique, Numerical method, Método numérico, Relation ordre, Ordering, Relación orden, Variable aléatoire, Random variable, Variable aléatoria
Document Type:
Konferenz Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Institute of Math. & Comp. Sci., Technical University of Czestochowa, Dąbrowskiego 73, 42-200 Czestochowa, Poland
Department of Economic, Technical University of Mogilev, 43, Mir avenue, Mogilev, 212005, Belarus
ISSN:
0302-9743
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=14511756
Rights:
Copyright 2003 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.14511756
Database:
PASCAL Archive

Weitere Informationen

A probabilistic approach to the comparison of two intervals is developed. The method is based on the assumption that random variables are independently and uniformly distributed at given intervals. It allows all possible cases of interval location and intersection and of ordering of interval and real number to be taken into account. Additionally, this method allows the widths of the intervals to be taken into account in the ordering procedure. It should be noted that the probabilistic approach was used only to infer the set of formulae needed to estimate quantitatively the degree to which one interval is less or equal to another interval. The measure of such a degree may be treated formally as one of probability, but the term possibility can be also used, as it better reflects the sense of the relation between the intervals in many cases.