库拉托斯基十四集定理在L-不分明化拓扑中的推广

The Generalization of Kuratowski Fourteen Sets Theorem in L-fuzzifying Topological Spaces

L-不分明化拓扑也就是基于完全剩余格值逻辑上的不分明化拓扑.论文中把L-不分明化闭包和内部的概念扩充到模糊集合,并在此基础上把库拉托斯基十四集定理推广到L-不分明化拓扑中.

The L-fuzzifying topology is the brief of fuzzifying topology based on complete residuated lattice-valued logic. This paper extends the L-fuzzifying closure and interior to fuzzy sets, and generalizes Kuratowski Fourteen Sets Theorem in L-fuzzifying topological spaces based on these.