Basic fuzzy logic and BL-algebras |
| |
Authors: | P Hájek |
| |
Affiliation: | (1) Institute of Computer Science, Academy of Sciences 182 07 Prague, Czech Republic, |
| |
Abstract: | The many-valued propositional logic BL (basic fuzzy logic) is investigated. It is known to be complete for tautologies over
BL-algebras (particular residuated lattices). Each continuous t-norm on 0,1] determines a BL-algebra; such algebras are called t-algebras. Two additional axioms B1, B2 are found such that BL+(B1,B2) is complete for tautologies over t-algebras. It remains open whether B1, B2 are provable in BL. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|