INTRINSIC TOPOLOGY AND REFINEMENT OF HUTTON UNIT INTERVAL
Guojun Wang, XU Luo-shan · Science in China Series A-Mathematics Physics Astronomy & Technological Science · 1992
This paper introduces the theory of continuous lattices to the study of the Hutton unit interval I( L ). some theorems related to I(L) are pithily proved. A kind of intrinsic topologies is applied to refining the topology of I(L),and a new fuzzy unit interval,called the H( λ ) unit interval,is defined.Based on the H( λ ) unit interval the H( λ )-complete regularity is introduced.Also,the theory of. H( λ )-stone-ech compactifications is established