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Fuzzy relational images in computer science

Mike Nachtegael UGent, Martine De Cock UGent, Dietrich Van der Weken UGent and Etienne Kerre UGent (2002) LECTURE NOTES IN COMPUTER SCIENCE. 2561. p.134-151
abstract
Relations appear in many fields of mathematics and computer science. In classical mathematics these relations are usually crisp, i.e. two objects are related or they are not. However, many relations in real-world applications are intrinsically fuzzy, i.e. objects can be related to each other to a certain degree. With each fuzzy relation, different kinds of fuzzy relational images can be associated, all with a very practical interpretation in a wide range of application areas. In this paper we will explicite the formal link between well known direct and inverse images of fuzzy sets under fuzzy relations on one hand, and different kinds of compositions of fuzzy relations on the other. Continuing from this point of view we are also able to define a new scale of so-called double images. The wide applicability in mathematics and computer science of all these fuzzy relational images is illustrated with several examples.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (proceedingsPaper)
publication status
published
subject
keyword
SETS
journal title
LECTURE NOTES IN COMPUTER SCIENCE
Lect. Notes Comput. Sci.
editor
HCM De Swart
volume
2561
issue title
RELATIONAL METHODS IN COMPUTER SCIENCE
pages
134-151 pages
publisher
Springer
place of publication
Berlin, Germany
conference name
6th International Conference on Relational Methods in Computer Science
conference location
Oisterwijk (Tilburg), The Netherlands
conference start
2001-10-16
conference end
2001-10-21
Web of Science type
Article
Web of Science id
000181473200010
JCR category
COMPUTER SCIENCE, THEORY & METHODS
JCR impact factor
0.515 (2002)
JCR rank
39/69 (2002)
JCR quartile
3 (2002)
ISSN
0302-9743
ISBN
3-540-00315-0
language
English
UGent publication?
yes
classification
A1
id
161915
handle
http://hdl.handle.net/1854/LU-161915
date created
2004-01-14 13:39:00
date last changed
2017-01-02 09:53:38
@article{161915,
  abstract     = {Relations appear in many fields of mathematics and computer science. In classical mathematics these relations are usually crisp, i.e. two objects are related or they are not. However, many relations in real-world applications are intrinsically fuzzy, i.e. objects can be related to each other to a certain degree.
With each fuzzy relation, different kinds of fuzzy relational images can be associated, all with a very practical interpretation in a wide range of application areas. In this paper we will explicite the formal link between well known direct and inverse images of fuzzy sets under fuzzy relations on one hand, and different kinds of compositions of fuzzy relations on the other. Continuing from this point of view we are also able to define a new scale of so-called double images. The wide applicability in mathematics and computer science of all these fuzzy relational images is illustrated with several examples.},
  author       = {Nachtegael, Mike and De Cock, Martine and Van der Weken, Dietrich and Kerre, Etienne},
  editor       = {De Swart, HCM},
  isbn         = {3-540-00315-0},
  issn         = {0302-9743},
  journal      = {LECTURE NOTES IN COMPUTER SCIENCE},
  keyword      = {SETS},
  language     = {eng},
  location     = {Oisterwijk (Tilburg), The Netherlands},
  pages        = {134--151},
  publisher    = {Springer},
  title        = {Fuzzy relational images in computer science},
  volume       = {2561},
  year         = {2002},
}

Chicago
Nachtegael, Mike, Martine De Cock, Dietrich Van der Weken, and Etienne Kerre. 2002. “Fuzzy Relational Images in Computer Science.” Ed. HCM De Swart. Lecture Notes in Computer Science 2561: 134–151.
APA
Nachtegael, M., De Cock, M., Van der Weken, D., & Kerre, E. (2002). Fuzzy relational images in computer science. (HCM De Swart, Ed.)LECTURE NOTES IN COMPUTER SCIENCE, 2561, 134–151. Presented at the 6th International Conference on Relational Methods in Computer Science.
Vancouver
1.
Nachtegael M, De Cock M, Van der Weken D, Kerre E. Fuzzy relational images in computer science. De Swart H, editor. LECTURE NOTES IN COMPUTER SCIENCE. Berlin, Germany: Springer; 2002;2561:134–51.
MLA
Nachtegael, Mike, Martine De Cock, Dietrich Van der Weken, et al. “Fuzzy Relational Images in Computer Science.” Ed. HCM De Swart. LECTURE NOTES IN COMPUTER SCIENCE 2561 (2002): 134–151. Print.