New schematic extension system GNMTL (GNBL) from system MTL (BL)

The new schematic extension systems GNMTL (GNBL) from system MTL (BL) are introduced respectively based on Gödel negation operator.. GNMTL (GNBL) is formulizing the logic of a sort of left-continuous (continuous) t-norms, which contain Göde; t-norm and product t-norm; then the schematic extensions of famous logic system Göd and Π from GNMTL (GNBL) are gained respectively, meanwhile, several equivalent forms of Gödel logic system is given.