TY - JOUR TI - Economic decision-making on nano simply α* alpha open set in a rough set AU - El Sayed M AU - El Safty M. A. AU - Al Qarni A. N. AU - Al-Qahtani Hadba F AU - Wadia Faid Hassan JN - Thermal Science PY - 2024 VL - 28 IS - 6 SP - 4933 EP - 4942 PT - Article AB - Real-life uses are more frequently confronted with huge quantities of data, particularly in the field of uncertain data. We present a new approach based on nano simply α*open set. This new approach is a generalization of Pawlak's rough sets. The idea of separation axioms was introduced in this method, which was used to examine essential properties and preservation theorems. The relationships that exist between preservation and fundamental attributes theories was also explored. Developing and discussing their features has also been done by us. In the study, an application was used illustrate the relationship between the nano simply α*open set was illustrated. This concept was explored utilizing the coarse set model, thereby acquiring new levels of precision. Furthermore, an exact suggestion was evaluated, which competitively rivals those of the Yao and Pawlak methodologies. To derive the outcomes, MATLsoftware has been employed.