Ling-Xia Lu
School of Mathematics and Science, Hebei GEO University, Shijiazhuang City, China
[ 1 ] - A duality between LM-fuzzy possibility computations and their logical semantics
Let X be a dcpo and let L be a complete lattice. The family σL(X) of all Scott continuous mappings from X to L is a complete lattice under pointwise order, we call it the L-fuzzy Scott structure on X. Let E be a dcpo. A mapping g : σL(E) −> M is called an LM-fuzzy possibility valuation of E if it preserves arbitrary unions. Denote by πLM(E) the set of all LM-fuzzy possibility valuations of E. T...
[ 2 ] - A kind of fuzzy upper topology on L-preordered sets
Considering a commutative unital quantale L as the truth value table and using the tool of L-generalized convergence structures of stratified L-filters, this paper introduces a kind of fuzzy upper topology, called fuzzy S-upper topology, on L-preordered sets. It is shown that every fuzzy join-preserving L-subset is open in this topology. When L is a complete Heyting algebra, for every completel...
نویسندگان همکار
Wei Yao 1