Usage of triangular norms

Andrei Heilper (aheilper@vnet.ibm.com)
Mon, 26 Oct 1998 02:37:03 +0100 (MET)

The AND/OR operations are represented using t-norms and s-norms which
replace and generalize the min/max operations.

Nevertheless, when defining the composition of relations (and all the
operations derived from it, including the extension principle) the
definitions still preserve the sup operations, so we have something
like,

(R1 o R2) (x,z) = sup_y t(R1(x,y), R2(y,z))

while I would expect that the "sup" operation would be replaced by some
infinite extension of an s-norm.

Andrei Heilper

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