Open Set And Its Inequality Is Defined By Z - L - Fuzzy Z - Compactness

In this paper, we will introduce a new form of Z-compactness, countable Z-compactness and Z-Lindelof property by means of Z-open L-sets, and define the L-fuzzy almost compactness with the open L-sets, and give the characterizes in terms of the S-a-R-NF, S-a-shading, S-βα-cover,Qα-cover form and the finite intersection property for any L-subset, and preserve many good properties of the compactness in L-topological spaces. Besides, we will introduce and study L-valued P-lower semi-continuous functions, and give some properties of it. In addition, we give the definition of P-Ti(i=0,1,2,3,4) separation spaces, and prove they are L-good extensions.