New constructions of triangular norms and triangular conorms on an arbitrary bounded lattice.

The ordinal sum of triangular norms on the real unit interval [ 0 , 1 ] has been used to construct other triangular norms. But, in general, the standard approach to the ordinal sum construction of triangular norms and triangular conorms may not work on an arbitrary bounded lattice. In this study, we introduce a new ordinal sum construction of triangular norms and triangular conorms on an arbitrary bounded lattice. Also, we give some illustrative examples for the clarity. [ABSTRACT FROM AUTHOR]