Abstract
Generalized concept lattices have been re-cently proposed to deal with uncertainty or incomplete information as a non-symmetric generalization of the theory of fuzzy for-mal concept analysis. On the other hand, concept lattices have been defined as well in the framework of fuzzy logics with non-commutative conjunctors. The contribution of this paper is to prove that any concept lattice for non-commutative fuzzy logic can be interpreted inside the framewok of generalized concept lattices, specifically, it is isomorphic to a sublattice of the cartesian product of two generalized concepts lattices.
Citation
Please, cite this work as:
[MOR07] J. Medina, M. Ojeda-Aciego, and J. Ruiz-Calvi~no. “Concept Lattices under Non-commutative Conjunctors Are Generalized Concept Lattices”. In: New Dimensions in Fuzzy Logic and Related Technologies. Proceedings of the 5th EUSFLAT Conference, Ostrava, Czech Republic, September 11-14, 2007, Volume 2: Regular Sessions. Ed. by M. Stepnicka, V. Novák and U. Bodenhofer. Universitas Ostraviensis, 2007, pp. 209-212. URL: http://www.eusflat.org/proceedings/EUSFLAT_2007/papers/Ojeda-Aciego_Manuel_(121).pdf.
@InProceedings{Medina2007a,
author = {Jes{’u}s Medina and Manuel Ojeda-Aciego and Jorge Ruiz-Calvi~no},
booktitle = {New Dimensions in Fuzzy Logic and Related Technologies. Proceedings of the 5th {EUSFLAT} Conference, Ostrava, Czech Republic, September 11-14, 2007, Volume 2: Regular Sessions},
title = {Concept Lattices under Non-commutative Conjunctors Are Generalized Concept Lattices},
year = {2007},
editor = {Martin Stepnicka and Vil{’e}m Nov{’a}k and Ulrich Bodenhofer},
pages = {209–212},
publisher = {Universitas Ostraviensis},
abstract = {Generalized concept lattices have been re-cently proposed to deal with uncertainty or incomplete information as a non-symmetric generalization of the theory of fuzzy for-mal concept analysis. On the other hand, concept lattices have been defined as well in the framework of fuzzy logics with non-commutative conjunctors. The contribution of this paper is to prove that any concept lattice for non-commutative fuzzy logic can be interpreted inside the framewok of generalized concept lattices, specifically, it is isomorphic to a sublattice of the cartesian product of two generalized concepts lattices.},
bibsource = {dblp computer science bibliography, https://dblp.org},
biburl = {https://dblp.org/rec/conf/eusflat/MedinaOR07.bib},
timestamp = {Thu, 07 Jan 2021 00:00:00 +0100},
url = {http://www.eusflat.org/proceedings/EUSFLAT_2007/papers/Ojeda-Aciego_Manuel_(121).pdf},
}