2020-10-20T13:40:26Z
http://digital.csic.es/dspace-oai/request
oai:digital.csic.es:10261/162444
2018-08-09T10:11:15Z
com_10261_60
com_10261_4
col_10261_313
Esteva, Francesc
Godo, Lluis
Hajek, Petr
Navara, Mirko
2018-03-19T12:21:21Z
2018-03-19T12:21:21Z
2000
Archive for Mathematical Logic 39: 103- 124 (2000)
http://hdl.handle.net/10261/162444
Residuated fuzzy logic calculi are related to continuous t-norms, which are used as truth functions for conjunction, and their residua as truth functions for implication. In these logics, a negation is also definable from the implication and the truth constant 0̄, namely ¬φ is φ → 0̄. However, this negation behaves quite differently depending on the t-norm. For a nilpotent t-norm (a t-norm which is isomorphic to LŁukasiewicz t-norm), it turns out that ¬ is an involutive negation. However, for t-norms without non-trivial zero divisors, ¬ is Gödel negation. In this paper we investigate the residuated fuzzy logics arising from continuous t-norms without non-trivial zero divisors and extended with an involutive negation.
eng
closedAccess
Fuzzy logic
Residuated fuzzy logics with an involutive negation
artículo