In terms of neighborhood filters with bases composed of open sets, closed sets, regular-open sets or regular-closed sets and the intersection of these filters, the authors define separation type properties \(M_ 1\), \(M_ 2\), \(M_{2.5}\), \(M_ 3\), as well as some strong or weak variations, in terms of the intersection of these filters. The authors give numerous examples that each of these concepts is distinct, and they establish minor aspects and characterizing theorems for these \(M_ i\) properties.