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The theory of Neutrosophy fuzzy set is the extension of the fuzzy set that deals with imprecise and indeterminate data Neutrosophy is a new branch of Philosophy. We already conceptualized the Neutrosophic fuzzy bi-ideals of Near –subtraction Semigroups (NFBI).In this article, We extend our study to strong bi-ideals. We examine some of its fundamentals and algebraic structures. Our aim of this manuscript are given as follows: (i)To explore the new ideas in Neutrosophic fuzzy Near-subtraction semigroups of said bi-ideals and strong bi-ideals. (ii)To examine the some basic properties and fundamentals. (iii)Also expand the direct product and regularity of Neutrosophic fuzzy strong bi-ideals (NFSBI) of a Near- Subtraction Semigroups.