| In this paper, we present a view of kernels from a fuzzy set theoretical perspective.
Indeed, it turns out that kernels which are positive definite functions have to fulfill a consistency
property given by the so-called T-transitivity of a fuzzy T-equivalence relation with respect to the
triangular norm T. As a result, we introduce a triangular norm TCos which is characterized as
being the greatest one for which all kernels are TCos-equivalences. Finally, a way of constructing
kernels by means of fuzzy sets is outlined. |