International Research Journal of Education and Technology

In the present paper, we define a kind of neutrosophic topology obtained as an associated structure on a neutrosophic topological space K induced by a grill on K. Such a neutrosophic topology is studied in certain detail as to some of its basic properties. Also we introduce new definition of neutrosophic grill topological space like neutrosophic grill α-open, neutrosophic grill pre-open, neutrosophic grill semi-open, neutrosophic grill b-open, neutrosophic grill β-open, neutrosophic grill regular-open and neutrosophic grill π-open. Keywords : neutrosophic set, grill topology, neutrosophic grill topology and ΦN - open.