Neutrosophic Sets and Systems
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.
Recommended Citation
N, Jansirani; Vasugi T; and Kamal Nasir V. "On Diminishing Fuzzy Neutrosophic Topological Spaces over Nano Topology." Neutrosophic Sets and Systems 73, 1 (2024). https://digitalrepository.unm.edu/nss_journal/vol73/iss1/42
