On Diminishing Fuzzy Neutrosophic Topological Spaces over Nano Topology

Abstract

As an extension and also, a necessity to compute the indeterminacy, the concept of diminishing
 fuzzy sets is protracted to introduce the conception of diminishing fuzzy (single-valued) neutrosophic sets in
 the standard unit interval. In addition, the axioms of neutrosophic topological spaces are extended to config
ure the collection, diminishing fuzzy neutrosophic topology, and also, the basic theorems of nano topology is
 incorporated to the case of diminishing fuzzy neutrosophic set in terms of the approximation space and the
 boundary region by acquiring the same operators for the quantities, non-membership and indeterminacy are
 also discussed. Moreover, a nano continuous function from one diminishing fuzzy neutrosophic nano topological
 space to another is defined with an example. Furthermore, the approximation space for the neighborhood of
 the diminishing cells in terms of the idea of pixel neighborhood by means of the diminishing fuzzy neutrosophic
 membership function and also, approximation space for the NFA of the layer word are defined with an illustra
tion.