Any given complete and atomic Boolean algebra can be embedded into a dense MV-algebra in such a way that the Boolean algebra formed by the idempotent elements of the MV-algebra is isomorphic to the given Boolean algebra. This extended MV-algebra can thereafter be represented by a collection of its own triangular norms.
Representation of an MV-algebra by its triangular norms / Sessa, Salvatore; S., Ray. - In: INTERNATIONAL JOURNAL OF APPROXIMATE REASONING. - ISSN 0888-613X. - STAMPA. - 18:3-4(1998), pp. 171-175. [10.16/S0888-613X(98)00003-6]
Representation of an MV-algebra by its triangular norms
SESSA, SALVATORE;
1998
Abstract
Any given complete and atomic Boolean algebra can be embedded into a dense MV-algebra in such a way that the Boolean algebra formed by the idempotent elements of the MV-algebra is isomorphic to the given Boolean algebra. This extended MV-algebra can thereafter be represented by a collection of its own triangular norms.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
