فهرست نشریات علمی دسترسی آزاد ایران

Han and Pang (IJFS 2024) introduced important L-convergence structures based on L-ordered co-Scott closed sets, extending strong L-concave structures. Since L-ordered co-Scott closed sets and L-convergence structures rely on L-order, while strong L-concavestructures depend on pointwise order, the relationship between them is still not clearenough. To clarify this, we provide characterizations of both using pointwise orders, re-vealing that the definition of L-ordered co-Scott closed sets can be simplified, as its strat-ified condition can be derived from the L-ordered condition. This finding will streamlineproofs in Han and Pang’s paper, as these conditions have been repeatedly verified. Addi-tionally, our insights will aid in accurately establishing the relationships between variouslattice-valued co-Scott closed sets and lattice-valued concave structures.