A neutrosophic crisp topology (NCT) on a non empty
set X is a family of [GAMMA] of neutrosophic crisp subsets in X satisfying the following axioms:
is the species of non empty
finite sets and F = 1 + [F.
n if and only if the non empty
upper s-level cut [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and the non empty
lower t-level cut [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] are closed ideals of [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], for any s, t [member of] [0, 1].
0]-limit point of X, then for any non empty
vg-open set U, there exists a non empty
vg-open set V such that V [subset] U, x [not member of] vg[bar.
4 A hypertree is a non empty
hypergraph H such that, given any vertices v and w in H,
5:  A restricted neutrosophic topology (RN-topology in short) on a non empty
set X is a family of restricted neutrosophic subsets in X satisfying the following axioms
1] Let X be a non empty
fixed set and I the closed interval [0,1].
i]) is non empty
then it starts with an east (north) step, i [greater than or equal to] 1.
F]) be a non empty
neutrosophic subset of a semihyperring R (i.
4] A collection G of non empty
subsets of a space X is called a grill on X
When the proportion of non empty
urns reaches r, one ball is removed in every non empty