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Permutable fuzzy consequence and interior operators and their connection with fuzzy relations

Autor
Carmona, N.; Elorza, J.; Recasens, J.; Bragard, J.
Tipus d'activitat
Article en revista
Revista
Information sciences
Data de publicació
2015-07-20
Volum
310
Pàgina inicial
36
Pàgina final
51
DOI
https://doi.org/10.1016/j.ins.2015.03.017 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/76237 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0020025515001826 Obrir en finestra nova
Resum
Fuzzy operators are an essential tool in many fields and the operation of composition is often needed. In general, composition is not a commutative operation. However, it is very useful to have operators for which the order of composition does not affect the result. In this paper, we analyze when permutability appears. That is, when the order of application of the operators does not change the outcome. We characterize permutability in the case of the composition of fuzzy consequence operators an...
Citació
Carmona, N., Elorza, J., Recasens, J., Bragard, J. Permutable fuzzy consequence and interior operators and their connection with fuzzy relations. "Information sciences", 20 Juliol 2015, p. 36-51.
Paraules clau
CO-Closure systems, Fuzzy closure operator, Fuzzy consequence operator, Fuzzy interior operator, Fuzzy preorder, Indistinguishability relation, Lattice, Logic, Morphology, Openings, Permutability, Preorders, Rough sets
Grup de recerca
FIA - Modelització Matemàtica Funcional i Aplicacions

Participants

  • Carmona, Neus  (autor)
  • Elorza Barbajero, Jorge  (autor)
  • Recasens Ferres, Jorge  (autor)
  • Bragard, Jean  (autor)