Ghent University Academic Bibliography

Advanced

On modeling possibilistic uncertainty in two-state reliability theory

Gert De Cooman UGent (1996) FUZZY SETS AND SYSTEMS. 83(2). p.215-238
abstract
In this paper, we show how a possibilistic uncertainty model can be used to represent and manipulate uncertainty about the states of a system and of its components. At the same time, we present a thorough study of the incorporation of this possibilistic uncertainty model in classical, two-state reliability theory. The possibilistic reliability of a component or system is introduced and studied. Furthermore, we introduce the important notion of a possibilistic structure function, based upon the concept of a classical, two-valued structure function. Under certain conditions of possibilistic independence, it allows us to calculate the possibilistic reliability of a system in terms of the possibilistic reliabilities of its components. Finally, we give straightforward methods for determining a possibilistic structure function from its classical, two-valued counterpart. In this way, we intend to show that a possibilistic uncertainty model in two-state reliability theory is formally analogous to, and certainly not more complicated than, a probabilistic uncertainty model.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
measure theory, possibility theory, reliability theory, CONTINUUM STRUCTURE FUNCTIONS, STOCHASTIC PERFORMANCE, SYSTEMS
journal title
FUZZY SETS AND SYSTEMS
Fuzzy Sets Syst.
volume
83
issue
2
pages
215 - 238
Web of Science type
Article
ISSN
0165-0114
DOI
10.1016/0165-0114(95)00379-7
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
190508
handle
http://hdl.handle.net/1854/LU-190508
date created
2004-01-14 13:41:00
date last changed
2017-05-29 14:14:58
@article{190508,
  abstract     = {In this paper, we show how a possibilistic uncertainty model can be used to represent and manipulate uncertainty about the states of a system and of its components. At the same time, we present a thorough study of the incorporation of this possibilistic uncertainty model in classical, two-state reliability theory. The possibilistic reliability of a component or system is introduced and studied. Furthermore, we introduce the important notion of a possibilistic structure function, based upon the concept of a classical, two-valued structure function. Under certain conditions of possibilistic independence, it allows us to calculate the possibilistic reliability of a system in terms of the possibilistic reliabilities of its components. Finally, we give straightforward methods for determining a possibilistic structure function from its classical, two-valued counterpart. In this way, we intend to show that a possibilistic uncertainty model in two-state reliability theory is formally analogous to, and certainly not more complicated than, a probabilistic uncertainty model.},
  author       = {De Cooman, Gert},
  issn         = {0165-0114},
  journal      = {FUZZY SETS AND SYSTEMS},
  keyword      = {measure theory,possibility theory,reliability theory,CONTINUUM STRUCTURE FUNCTIONS,STOCHASTIC PERFORMANCE,SYSTEMS},
  language     = {eng},
  number       = {2},
  pages        = {215--238},
  title        = {On modeling possibilistic uncertainty in two-state reliability theory},
  url          = {http://dx.doi.org/10.1016/0165-0114(95)00379-7},
  volume       = {83},
  year         = {1996},
}

Chicago
De Cooman, Gert. 1996. “On Modeling Possibilistic Uncertainty in Two-state Reliability Theory.” Fuzzy Sets and Systems 83 (2): 215–238.
APA
De Cooman, Gert. (1996). On modeling possibilistic uncertainty in two-state reliability theory. FUZZY SETS AND SYSTEMS, 83(2), 215–238.
Vancouver
1.
De Cooman G. On modeling possibilistic uncertainty in two-state reliability theory. FUZZY SETS AND SYSTEMS. 1996;83(2):215–38.
MLA
De Cooman, Gert. “On Modeling Possibilistic Uncertainty in Two-state Reliability Theory.” FUZZY SETS AND SYSTEMS 83.2 (1996): 215–238. Print.