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Triangular norms which are join-morphisms in 3-dimensional fuzzy set theory

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Abstract
The n-dimensional fuzzy sets have been introduced as a generalization of interval-valued fuzzy sets, Atanassov's intuitionistic and interval-valued intuitionistic fuzzy sets. In this paper we investigate t-norms on 3-dimensional sets which are join-morphisms. Under some additional conditions we show that they can be represented using a representation which generalizes a similar representation for t-norms in interval-valued fuzzy set theory.
Keywords
interval-valued fuzzy set, interval-valued intuitionistic fuzzy set, join-morphism, n-dimensional fuzzy set, Triangular norm, T-NORMS, REPRESENTATION, Atanassov's intuitionistic fuzzy set

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Chicago
Deschrijver, Glad. 2013. “Triangular Norms Which Are Join-morphisms in 3-dimensional Fuzzy Set Theory.” In Advances in Intelligent Systems Research, ed. Gabriella Pasi, Javier Montero, and Davide Ciucci, 80–87. Paris, France: Atlantis Press.
APA
Deschrijver, Glad. (2013). Triangular norms which are join-morphisms in 3-dimensional fuzzy set theory. In Gabriella Pasi, J. Montero, & D. Ciucci (Eds.), Advances in Intelligent Systems Research (pp. 80–87). Presented at the 8th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13), Paris, France: Atlantis Press.
Vancouver
1.
Deschrijver G. Triangular norms which are join-morphisms in 3-dimensional fuzzy set theory. In: Pasi G, Montero J, Ciucci D, editors. Advances in Intelligent Systems Research. Paris, France: Atlantis Press; 2013. p. 80–7.
MLA
Deschrijver, Glad. “Triangular Norms Which Are Join-morphisms in 3-dimensional Fuzzy Set Theory.” Advances in Intelligent Systems Research. Ed. Gabriella Pasi, Javier Montero, & Davide Ciucci. Paris, France: Atlantis Press, 2013. 80–87. Print.
@inproceedings{4146551,
  abstract     = {The n-dimensional fuzzy sets have been introduced as a generalization of interval-valued fuzzy sets, Atanassov's intuitionistic and interval-valued intuitionistic fuzzy sets. In this paper we investigate t-norms on 3-dimensional sets which are join-morphisms. Under some additional conditions we show that they can be represented using a representation which generalizes a similar representation for t-norms in interval-valued fuzzy set theory.},
  author       = {Deschrijver, Glad},
  booktitle    = {Advances in Intelligent Systems Research},
  editor       = {Pasi, Gabriella and Montero, Javier and Ciucci, Davide},
  isbn         = {9789078677789},
  issn         = {1951-6851},
  keyword      = {interval-valued fuzzy set,interval-valued intuitionistic fuzzy set,join-morphism,n-dimensional fuzzy set,Triangular norm,T-NORMS,REPRESENTATION,Atanassov's intuitionistic fuzzy set},
  language     = {eng},
  location     = {Milano, Italy},
  pages        = {80--87},
  publisher    = {Atlantis Press},
  title        = {Triangular norms which are join-morphisms in 3-dimensional fuzzy set theory},
  url          = {http://dx.doi.org/10.2991/eusflat.2013.12},
  year         = {2013},
}

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