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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.
Keywords
SETS, AGGREGATION OPERATORS

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Citation

Please use this url to cite or link to this publication:

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.
@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},
}

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