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We extend for the second time the Nonstandard Analysis by adding the leftmonad closed to the right, and right monad closed to the left, while besidesthe pierced binad (we introduced in 1998) we add now the unpierced binad - allthese in order to close the newly extended nonstandard space under nonstandardaddition, nonstandard subtraction, nonstandard multiplication, nonstandarddivision, and nonstandard power operations. Then, we extend the NonstandardNeutrosophic Logic, Nonstandard Neutrosophic Set, and Nonstandard Probabilityon this Extended Nonstandard Analysis space - that we prove it is a nonstandardneutrosophic lattice of first type (endowed with a nonstandard neutrosophicpartial order) as well as a nonstandard neutrosophic lattice of second type (asalgebraic structure, endowed with two binary neutrosophic laws, inf_N andsup_N). Many theorems, new terms introduced, and examples of nonstandardneutrosophic operations are given.

Extended Nonstandard Neutrosophic Logic, Set, and Probability based on Extended Nonstandard Analysis