Topological approach to generate new rough set models

Abstract In this paper, we introduce a topological method to produce new rough set models. This is based on the idea of “somewhat open sets” which one celebrated generalizations sets. We first generate some topologies from different types $$N_\rho $$ N ρ -neighborhoods. Then, define approximations and accuracy measures with respect somewhat closed study their main properties prove that roughness preserve monotonic property. One unique these possibility comparing between them. also compare our approach previous ones, show it more accurate than those induced open, $$\alpha α -open, semi-open Moreover, examine effectiveness followed in problem Dengue fever. Finally, discuss strengths limitations propose future work.