Connectedness and Compactness in Soft L-topological Spaces

A soft set is a mapping from a parameter to a universe’s power set. Molodstov suggested soft sets as a method for simulating ambiguous situations. Sandhya and Baiju describe soft L-topological spaces over a soft lattice L with a definite set of parameters M, and they have also looked into the continuity of soft L-topological space mappings. Soft L-T_i-space (i = 0; 1; 2; 2 / 2; 3; 3 / 2; 4; 5; 6) on a soft L-topological space was explored with some of their properties by the same authors. In this paper, we introduce the concept of connectedness and compactness in soft L-topological spaces. We also analyze how soft L-connected spaces behave when subjected to soft Lcontinuous mappings, soft L-boundary, and soft L-closure.