1 citations · 2 across the 4 of their papers we have counts for
4 papers
Sober topological spaces valued in a quantale
Dexue Zhang, Gao Zhang
The notion of sobriety is extended to the realm of topological spaces valued in a commutative and unital quantale, via an adjunction between a category of quantale modules and the…
The saturated prefilter monad
Hongliang Lai, Dexue Zhang, Gao Zhang
This paper considers some extensions of the notion of filter to the quantale-valued context, including saturated prefilter, -filter and bounded saturated prefilter. The quest…
Flat ideals in the unit interval with the canonical fuzzy order
Hongliang Lai, Dexue Zhang, Gao Zhang
A characterization of flat ideals in the unit interval with the canonical fuzzy order is obtained with the help of the ordinal sum decomposition of continuous t-norms. This charact…
A comparative study of ideals in fuzzy orders
Hongliang Lai, Dexue Zhang, Gao Zhang
This paper presents a comparative study of three kinds of ideals in fuzzy order theory: forward Cauchy ideals (generated by forward Cauchy nets), flat ideals and irreducible ideals…