In this paper we generalize the well known construction of ”classic” measure theory to the fuzzy case. We consider such T-norm based classes of fuzzy sets as T-semirings and T...
Using the parallel between the preframe and the suplattice approach to locale theory it is shown that the patch construction, as an action on topologies, is the same thing as the ...
We present a concrete method to build discrete biorthogonal systems such that the wavelet filters have any number of vanishing moments. Several algorithms are proposed to construct...
Di-Rong Chen, Bin Han 0003, Sherman D. Riemenschne...
The theory of apartness spaces, and their relation to topological spaces (in the point--set case) and uniform spaces (in the set--set case), is sketched. New notions of local decom...
Douglas S. Bridges, Peter Schuster, Luminita V&ici...
We motivate and define a category of topological domains, whose objects are certain topological spaces, generalising the usual -continuous dcppos of domain theory. Our category su...