More on Maps and Its Application to Soil Fertility Zoning in n-Cylindrical Neutrosophic Nano Topological Spaces

Abstract

This paper introduces nn-Cylindrical neutrosophic nano θ\theta (resp. θS\theta S, ϵ\epsilon and MM) continuous maps in nn-Cylindrical neutrosophic nano topological spaces, exploring their properties and characterizations alongside the corresponding irresolute maps. As a real-life illustration, we construct an nn-Cylindrical neutrosophic nano topological space directly from soil-test data collected under Tamil Nadu’s Soil Health Card programme: farm plots are grouped by an indiscernibility relation on pH, nitrogen, and organic-carbon bands, and a decision attribute “Fertile Soil” is used to compute the nn-Cylindrical neutrosophic lower approximation, upper approximation, and boundary region, which together generate the induced nano topology. The resulting three-tier zoning – certify, develop, and verify – gives agricultural extension officers an uncertainty-aware framework for soil-fertility classification, and illustrates how the newly introduced MM-open set machinery extends naturally to boundary-region decision-making in precision agriculture.