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Interval-valued contractive fuzzy negations

Benjamin Bedregal, Humberto Bustince, Javier Fernandez, Glad Deschrijver and Radko Mesiar (2010) IEEE International Conference on Fuzzy Systems. In IEEE International Conference on Fuzzy Systems
abstract
In this work we consider the concept of contractive interval-valued fuzzy negation, as a negation such that it does not increase the length or amplitude of an interval. We relate this to the concept of Lipschitz function. In particular, we prove that the only strict (strong) contractive interval-valued fuzzy negation is the one generated from the standard (Zadeh's) negation.
Please use this url to cite or link to this publication:
author
organization
year
type
conference (proceedingsPaper)
publication status
published
subject
keyword
SETS, AGGREGATION OPERATORS
in
IEEE International Conference on Fuzzy Systems
series title
IEEE International Conference on Fuzzy Systems
issue title
2010 IEEE international conference on fuzzy systems (FUZZ-IEEE 2010)
pages
6 pages
publisher
IEEE
place of publication
New York, NY, USA
conference name
2010 IEEE World congress on Computational Intelligence (WCCI 2010)
conference location
Barcelona, Spain
conference start
2010-07-18
conference end
2010-07-23
Web of Science type
Proceedings Paper
Web of Science id
000287453600068
ISSN
1098-7584
ISBN
9781424469208
DOI
10.1109/FUZZY.2010.5584635
language
English
UGent publication?
yes
classification
P1
copyright statement
I have transferred the copyright for this publication to the publisher
id
1257429
handle
http://hdl.handle.net/1854/LU-1257429
date created
2011-06-08 11:26:22
date last changed
2018-05-17 14:38:04
@inproceedings{1257429,
  abstract     = {In this work we consider the concept of contractive interval-valued fuzzy negation, as a negation such that it does not increase the length or amplitude of an interval. We relate this to the concept of Lipschitz function. In particular, we prove that the only strict (strong) contractive interval-valued fuzzy negation is the one generated from the standard (Zadeh's) negation.},
  author       = {Bedregal, Benjamin and Bustince, Humberto and Fernandez, Javier and Deschrijver, Glad and Mesiar, Radko},
  booktitle    = {IEEE International Conference on Fuzzy Systems},
  isbn         = {9781424469208},
  issn         = {1098-7584},
  keyword      = {SETS,AGGREGATION OPERATORS},
  language     = {eng},
  location     = {Barcelona, Spain},
  pages        = {6},
  publisher    = {IEEE},
  title        = {Interval-valued contractive fuzzy negations},
  url          = {http://dx.doi.org/10.1109/FUZZY.2010.5584635},
  year         = {2010},
}

Chicago
Bedregal, Benjamin, Humberto Bustince, Javier Fernandez, Glad Deschrijver, and Radko Mesiar. 2010. “Interval-valued Contractive Fuzzy Negations.” In IEEE International Conference on Fuzzy Systems. New York, NY, USA: IEEE.
APA
Bedregal, B., Bustince, H., Fernandez, J., Deschrijver, G., & Mesiar, R. (2010). Interval-valued contractive fuzzy negations. IEEE International Conference on Fuzzy Systems. Presented at the 2010 IEEE World congress on Computational Intelligence (WCCI 2010), New York, NY, USA: IEEE.
Vancouver
1.
Bedregal B, Bustince H, Fernandez J, Deschrijver G, Mesiar R. Interval-valued contractive fuzzy negations. IEEE International Conference on Fuzzy Systems. New York, NY, USA: IEEE; 2010.
MLA
Bedregal, Benjamin, Humberto Bustince, Javier Fernandez, et al. “Interval-valued Contractive Fuzzy Negations.” IEEE International Conference on Fuzzy Systems. New York, NY, USA: IEEE, 2010. Print.