A Categorical Isomorphism Between Injective Stratified Fuzzy T-0 Spaces and Fuzzy Continuous Lattices

作者：Yao, Wei^*

来源：IEEE Transactions on Fuzzy Systems, 2016, 24(1): 131-139.

DOI：10.1109/TFUZZ.2015.2428720

• Fuzzy continuous lattice
• fuzzy Scott topology
• injective object
• specialization L-order
• stratified L-T-0 space

For a frame L as the truth value table, we apply fuzzy domain theory for the study of injective objects in the category of stratified L-T-0 spaces. We show that every fuzzy continuous lattice equipped with the fuzzy Scott topology is an injective stratified L-T-0 space, and conversely, the specialization L-ordered set of an injective stratified L-T-0 space is a fuzzy continuous lattice. These two transformations form a categorical isomorphism between injective stratified L-T-0 spaces and fuzzy continuous lattices.

• 出版日期2016-2
• 单位河北科技大学