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A random set description of a possibility measure and its natural extension

Gert De Cooman UGent and Dirk Aeyels UGent (2000) IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS. 30(2). p.124-130
abstract
The relationship is studied between possibility and necessity measures defined on arbitrary spaces, the theory of imprecise probabilities, and elementary random set theory. It is shown how special random sets can be used to generate normal possibility and necessity measures, as well as their natural extensions. This leads to interesting alternative formulas for the calculation of these natural extensions.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
natural extension, coherence, possibility measure, random sets, upper prevision, upper probability, FUZZY
journal title
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS
IEEE Trans. Syst. Man Cybern. Paart A-Syst. Hum.
volume
30
issue
2
pages
124 - 130
Web of Science type
Article
Web of Science id
000086357100004
ISSN
1083-4427
DOI
10.1109/3468.833093
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
171034
handle
http://hdl.handle.net/1854/LU-171034
date created
2004-01-14 13:40:00
date last changed
2016-12-19 15:37:56
@article{171034,
  abstract     = {The relationship is studied between possibility and necessity measures defined on arbitrary spaces, the theory of imprecise probabilities, and elementary random set theory. It is shown how special random sets can be used to generate normal possibility and necessity measures, as well as their natural extensions. This leads to interesting alternative formulas for the calculation of these natural extensions.},
  author       = {De Cooman, Gert and Aeyels, Dirk},
  issn         = {1083-4427},
  journal      = {IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS},
  keyword      = {natural extension,coherence,possibility measure,random sets,upper prevision,upper probability,FUZZY},
  language     = {eng},
  number       = {2},
  pages        = {124--130},
  title        = {A random set description of a possibility measure and its natural extension},
  url          = {http://dx.doi.org/10.1109/3468.833093},
  volume       = {30},
  year         = {2000},
}

Chicago
De Cooman, Gert, and Dirk Aeyels. 2000. “A Random Set Description of a Possibility Measure and Its Natural Extension.” Ieee Transactions on Systems Man and Cybernetics Part A-systems and Humans 30 (2): 124–130.
APA
De Cooman, Gert, & Aeyels, D. (2000). A random set description of a possibility measure and its natural extension. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS, 30(2), 124–130.
Vancouver
1.
De Cooman G, Aeyels D. A random set description of a possibility measure and its natural extension. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS. 2000;30(2):124–30.
MLA
De Cooman, Gert, and Dirk Aeyels. “A Random Set Description of a Possibility Measure and Its Natural Extension.” IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS 30.2 (2000): 124–130. Print.