Abstract

In this paper, we obtain some construction methods for triangular norms and triangular conorms by means of arbitrary elements on any bounded lattices. We examine the structure of these construction methods according to the some special cases of these arbitrary elements on any bounded lattice. On the other hand, we show that these triangular norms (triangular conorms) may not be equal in general. In addition, we provide some illustrative examples for the new constructions of triangular norms and triangular conorms on bounded lattices.

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