An approach to fuzzy frames via fuzzy posets

作者：Yao Wei^*

来源：Fuzzy Sets and Systems, 2011, 166(1): 75-89.

DOI：10.1016/j.fss.2010.11.010

• Topology
• Adjunction
• L-ordered set
• (Stratified)
• L-topology
• L-frame
• L-locale
• Sober space
• Spatial L-frame

In this paper, based on a complete Heyting algebra L, we define a fuzzy version of frames, called L-frames. Then we construct an adjunction between the category of stratified L-topological spaces and that of L-locales (the opposite category of L-frames), which is a fuzzy counterpart of the Isbell-adjunction between topological spaces and locales. We also study the corresponding sobriety of stratified L-topologies and spatiality of L-frames and show the dual equivalence between them.

• 出版日期2011-3-16
• 单位河北科技大学