Continuous triangular norm based fuzzy topology (Q2274139)

The motivation of this paper stems from the idea that to each many-valued logic there may correspond a theory of many-valued topology. Among other interesting results, it is proved in this article that the fuzzy Scott topology (introduced in this paper) on each fuzzy pre-ordered set is an \&-topology, and this fuctor is full if and only if the continuous t-norm is Archimedean.