Local ultra-F_2 compactness in L-topological space

In this paper,the local Ultra-F_(2) compactness on L-topological spaces,where L is a complete lattice with order-reversing involution,is defined.It is shown that local Ultra-F_(2) compactness is hereditary both with respect to open L-subsets and with respect to closed L-subsets,also local Ultra-F_(2) compactness is an invariant under continuous open L-valued Zadeh function ect.The good conclusions of local compactness on crisp topological space are generalized to L-topological space.