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The role a fuzzy implication plays in a multi-criteria decision algorithm

Yun Shi UGent, Bart Van Gasse and Etienne Kerre UGent (2013) INTERNATIONAL JOURNAL OF GENERAL SYSTEMS. 42(1). p.111-120
abstract
We introduce a similarity measure between fuzzy sets using a fuzzy implication. We investigate for the eight most important potential properties of fuzzy implications, which ones should be taken into consideration to measure the similarity, and thereafter choose a suitable fuzzy implication which satisfies these potential properties. Simple examples are given to illustrate the application of the chosen fuzzy implication in a partition algorithm used for multi-criteria decision making.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
fuzzy inclusion, similarity measure, multi-criteria decision making, fuzzy relation, fuzzy implication, fuzzy set
journal title
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
Int. J. Gen. Syst.
volume
42
issue
1
pages
111 - 120
Web of Science type
Article
Web of Science id
000309964000008
JCR category
COMPUTER SCIENCE, THEORY & METHODS
JCR impact factor
0.786 (2013)
JCR rank
48/102 (2013)
JCR quartile
2 (2013)
ISSN
0308-1079
DOI
10.1080/03081079.2012.710441
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
3117449
handle
http://hdl.handle.net/1854/LU-3117449
date created
2013-01-31 15:18:39
date last changed
2016-12-19 15:43:28
@article{3117449,
  abstract     = {We introduce a similarity measure between fuzzy sets using a fuzzy implication. We investigate for the eight most important potential properties of fuzzy implications, which ones should be taken into consideration to measure the similarity, and thereafter choose a suitable fuzzy implication which satisfies these potential properties. Simple examples are given to illustrate the application of the chosen fuzzy implication in a partition algorithm used for multi-criteria decision making.},
  author       = {Shi, Yun and Van Gasse, Bart and Kerre, Etienne},
  issn         = {0308-1079},
  journal      = {INTERNATIONAL JOURNAL OF GENERAL SYSTEMS},
  keyword      = {fuzzy inclusion,similarity measure,multi-criteria decision making,fuzzy relation,fuzzy implication,fuzzy set},
  language     = {eng},
  number       = {1},
  pages        = {111--120},
  title        = {The role a fuzzy implication plays in a multi-criteria decision algorithm},
  url          = {http://dx.doi.org/10.1080/03081079.2012.710441},
  volume       = {42},
  year         = {2013},
}

Chicago
Shi, Yun, Bart Van Gasse, and Etienne Kerre. 2013. “The Role a Fuzzy Implication Plays in a Multi-criteria Decision Algorithm.” International Journal of General Systems 42 (1): 111–120.
APA
Shi, Yun, Van Gasse, B., & Kerre, E. (2013). The role a fuzzy implication plays in a multi-criteria decision algorithm. INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 42(1), 111–120.
Vancouver
1.
Shi Y, Van Gasse B, Kerre E. The role a fuzzy implication plays in a multi-criteria decision algorithm. INTERNATIONAL JOURNAL OF GENERAL SYSTEMS. 2013;42(1):111–20.
MLA
Shi, Yun, Bart Van Gasse, and Etienne Kerre. “The Role a Fuzzy Implication Plays in a Multi-criteria Decision Algorithm.” INTERNATIONAL JOURNAL OF GENERAL SYSTEMS 42.1 (2013): 111–120. Print.