Petr Cintula, Erich Klement, Radko Mesiar, Mirko Navara,
"Residuated logics based on strict triangular norms with an involutive negation"
, in Mathematical Logic Quarterly, Vol. 52, Seite(n) 269-282, 2006, ISSN: 1521-3870
Original Titel:
Residuated logics based on strict triangular norms with an involutive negation
Sprache des Titels:
Englisch
Original Kurzfassung:
In general, there is only one fuzzy logic in which the standard interpretation of the strong conjunction is a strict triangular norm, namely, the product logic. We study several equations which are satisfied by some strict t-norms and their dual t-conorms. Adding an involutive negation, these equations allow us to generate countably many logics based on strict t-norms which are different from the product logic.