  We extend for the second time the Nonstandard Analysis by adding the left
monad closed to the right, and right monad closed to the left, while besides
the pierced binad (we introduced in 1998) we add now the unpierced binad - all
these in order to close the newly extended nonstandard space under nonstandard
addition, nonstandard subtraction, nonstandard multiplication, nonstandard
division, and nonstandard power operations. Then, we extend the Nonstandard
Neutrosophic Logic, Nonstandard Neutrosophic Set, and Nonstandard Probability
on this Extended Nonstandard Analysis space - that we prove it is a nonstandard
neutrosophic lattice of first type (endowed with a nonstandard neutrosophic
partial order) as well as a nonstandard neutrosophic lattice of second type (as
algebraic structure, endowed with two binary neutrosophic laws, inf_N and
sup_N). Many theorems, new terms introduced, and examples of nonstandard
neutrosophic operations are given.
