Residuated logics based on strict triangular norms with an involutive negation
Copyright policy )Residuated logics based on strict triangular norms with an involutive negation
AbstractIn 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. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
- Institute of Computer Science Poland
- Johannes Kepler University of Linz Austria
- Czech Academy of Sciences Czech Republic
- Slovak University of Technology in Bratislava Slovakia
- Polish Academy of Sciences Poland
variety, Hamacher product, triangular norm, hamacher product, fuzzy logic, Fuzzy logic; logic of vagueness, BL-algebra, involutive negation, Other algebras related to logic
variety, Hamacher product, triangular norm, hamacher product, fuzzy logic, Fuzzy logic; logic of vagueness, BL-algebra, involutive negation, Other algebras related to logic
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