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Fuzzy groups, fuzzy functions and fuzzy equivalence relations

Autor
Demirci, M.; Recasens, J.
Tipus d'activitat
Article en revista
Revista
Fuzzy sets and systems
Data de publicació
2004-06
Volum
144
Número
3
Pàgina inicial
441
Pàgina final
458
DOI
https://doi.org/10.1016/S0165-0114(03)00301-4 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/19186 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/journal/01650114 Obrir en finestra nova
Resum
To each fuzzy subgroup a fuzzy equivalence relation is associated and it is proved that a fuzzy subgroup is normal if and only if the operation of the group is compatible with its associated fuzzy equivalence relation. In the definition of fuzzy subgroup only the subset is fuzzy whilst the group operation remains crisp. In an opposite direction, another structure can be constructed maintaining crisp the basic set X of the group and fuzzifying the group operation. When in addition it is imposed t...
Citació
Demirci, M.; Recasens, J. Fuzzy Groups, Fuzzy Functions and Fuzzy Equivalence Relations. "Fuzzy sets and systems", Juny 2004, vol. 144, núm. 3, p. 441-458.
Grup de recerca
FIA - Modelització Matemàtica Funcional i Aplicacions

Participants