Negations generated by bounded lattices t-norms
Contribuinte(s) |
Greco, Salvatore Bouchon-Meunier, Bernadette Coletti, Giulianella Fedrizzi, Mario Matarazzo, Benedetto Yager, Ronald R. |
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Data(s) |
01/01/2012
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Resumo |
From the birth of fuzzy sets theory, several extensions have been proposed changing the possible membership values. Since fuzzy connectives such as t-norms and negations have an important role in theoretical as well as applied fuzzy logics, these connectives have been adapted for these generalized frameworks. Perhaps, an extension of fuzzy logic which generalizes the remaining extensions, proposed by Joseph Goguen in 1967, is to consider arbitrary bounded lattices for the values of the membership degrees. In this paper we extend the usual way of constructing fuzzy negations from t-norms for the bounded lattice t-norms and prove some properties of this construction.<br /> |
Identificador | |
Idioma(s) |
eng |
Publicador |
Springer Berlin Heidelberg |
Relação |
http://dro.deakin.edu.au/eserv/DU:30049536/beliakov-negationsgenerated-2012.pdf http://dro.deakin.edu.au/eserv/DU:30049536/evid-bkacivol299-2012.pdf http://hdl.handle.net/10.1007/978-3-642-31718-7_34 |
Direitos |
2012, Springer |
Palavras-Chave | #L-fuzzy logics #bounded lattices #t-norms #L-negations #L-automorphisms |
Tipo |
Book Chapter |