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Triangular norms which are meet-morphisms in intuitionistic fuzzy set theory

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Abstract
In this paper we consider a special class of t-norms T_{T1 ,T2 , t} on the lattice L^I , where L^I is the underlying lattice of both intuitionistic fuzzy set theory (Atanassov, 1983) and interval-valued fuzzy set theory (Sambuc, 1975). We investigate under which conditions these t-norms are meet-morphisms. Using these results, we obtain a characterization for t-norms on L^I which are both join- and meet-morphisms and which satisfy an additional condition.
Keywords
join-morphism, meet-morphism, triangular norm, Atanassov’s intuitionistic fuzzy set

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Chicago
Deschrijver, Glad. 2008. “Triangular Norms Which Are Meet-morphisms in Intuitionistic Fuzzy Set Theory.” In Proceedings of the 12th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, ed. Luis Magdalena, Manuel Ojeda-Aciego, and José Luis Verdegay, 1640–1647.
APA
Deschrijver, Glad. (2008). Triangular norms which are meet-morphisms in intuitionistic fuzzy set theory. In L. Magdalena, M. Ojeda-Aciego, & J. L. Verdegay (Eds.), Proceedings of the 12th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (pp. 1640–1647). Presented at the 12th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2008).
Vancouver
1.
Deschrijver G. Triangular norms which are meet-morphisms in intuitionistic fuzzy set theory. In: Magdalena L, Ojeda-Aciego M, Verdegay JL, editors. Proceedings of the 12th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems. 2008. p. 1640–7.
MLA
Deschrijver, Glad. “Triangular Norms Which Are Meet-morphisms in Intuitionistic Fuzzy Set Theory.” Proceedings of the 12th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems. Ed. Luis Magdalena, Manuel Ojeda-Aciego, & José Luis Verdegay. 2008. 1640–1647. Print.
@inproceedings{623964,
  abstract     = {In this paper we consider a special class of t-norms T\_\{T1 ,T2 , t\} on the lattice L\^{ }I , where L\^{ }I is the underlying lattice of both intuitionistic fuzzy set theory (Atanassov, 1983) and interval-valued fuzzy set theory (Sambuc, 1975). We investigate under which conditions these t-norms are meet-morphisms. Using these results, we obtain a characterization for t-norms on L\^{ }I which are both join- and meet-morphisms and which satisfy an additional condition.},
  author       = {Deschrijver, Glad},
  booktitle    = {Proceedings of the 12th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems},
  editor       = {Magdalena, Luis and Ojeda-Aciego, Manuel and Verdegay, Jos{\'e} Luis},
  isbn         = {978-84-612-3061-7},
  language     = {eng},
  location     = {M{\'a}laga, Spain},
  pages        = {1640--1647},
  title        = {Triangular norms which are meet-morphisms in intuitionistic fuzzy set theory},
  year         = {2008},
}