The SSP-Compactness in L-Topological Spaces

In this paper, we introduce the SSP-compactness in L-topological spaces. It possesses the following properties: (1)SSP-compactness is hereditary for SSP-closed subsets, (2)SSP-compactness is preserved under SSP-irresolute mapping. (3) Every set with finite support is SSP-compactness. The SSP-compactness is defined for arbitrary L-subsets. It is described with α-net, α-filter, r-SSP-cover form and r⁺-finite intersection property.