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Abstract
In this work we consider the concept of contractive Atanassov's intuitionistic mapping. In particular, we show that with our definitions, the only strict (strong) contractive negation is the standard one.
Keywords
Atanassov's intuitionistic fuzzy sets, fuzzy negation, Lipschitz property, contractive

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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. “Atanassov’s Intuitionistic Contractive Fuzzy Negations.” In Communications in Computer and Information Science, ed. Eyke Hullermeir, Rudolf Kruse, and Frank Hoffmann, 80:591–600. New York, NY, USA: Springer.
APA
Bedregal, B., Bustince, H., Fernandez, J., Deschrijver, G., & Mesiar, R. (2010). Atanassov’s intuitionistic contractive fuzzy negations. In Eyke Hullermeir, R. Kruse, & F. Hoffmann (Eds.), Communications in Computer and Information Science (Vol. 80, pp. 591–600). Presented at the 13th International conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2010), New York, NY, USA: Springer.
Vancouver
1.
Bedregal B, Bustince H, Fernandez J, Deschrijver G, Mesiar R. Atanassov’s intuitionistic contractive fuzzy negations. In: Hullermeir E, Kruse R, Hoffmann F, editors. Communications in Computer and Information Science. New York, NY, USA: Springer; 2010. p. 591–600.
MLA
Bedregal, Benjamin, Humberto Bustince, Javier Fernandez, et al. “Atanassov’s Intuitionistic Contractive Fuzzy Negations.” Communications in Computer and Information Science. Ed. Eyke Hullermeir, Rudolf Kruse, & Frank Hoffmann. Vol. 80. New York, NY, USA: Springer, 2010. 591–600. Print.
@inproceedings{1257420,
  abstract     = {In this work we consider the concept of contractive Atanassov's intuitionistic mapping. In particular, we show that with our definitions, the only strict (strong) contractive negation is the standard one.},
  author       = {Bedregal, Benjamin and Bustince, Humberto and Fernandez, Javier and Deschrijver, Glad and Mesiar, Radko},
  booktitle    = {Communications in Computer and Information Science},
  editor       = {Hullermeir, Eyke and Kruse, Rudolf and Hoffmann, Frank},
  isbn         = {9783642140549},
  issn         = {1865-0929},
  language     = {eng},
  location     = {Dortmund, Germany},
  pages        = {591--600},
  publisher    = {Springer},
  title        = {Atanassov's intuitionistic contractive fuzzy negations},
  url          = {http://dx.doi.org/10.1007/978-3-642-14055-6\_62},
  volume       = {80},
  year         = {2010},
}

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