TY - EJOU AU - Hosny, Rodyna A. AU - Abu-Gdairi, Radwan AU - El-Bably, Mostafa K. TI - Approximations by Ideal Minimal Structure with Chemical Application T2 - Intelligent Automation \& Soft Computing PY - 2023 VL - 36 IS - 3 SN - 2326-005X AB - The theory of rough set represents a non-statistical methodology for analyzing ambiguity and imprecise information. It can be characterized by two crisp sets, named the upper and lower approximations that are used to determine the boundary region and accurate measure of any subset. This article endeavors to achieve the best approximation and the highest accuracy degree by using the minimal structure approximation space via ideal . The novel approach (indicated by ) modifies the approximation space to diminish the boundary region and enhance the measure of accuracy. The suggested method is more accurate than Pawlak’s and EL-Sharkasy techniques. Via illustrated examples, several remarkable results using these notions are obtained and some of their properties are established. Several sorts of near open (resp. closed) sets based on are studied. Furthermore, the connections between these assorted kinds of near-open sets in are deduced. The advantages and disadvantages of the proposed approach compared to previous ones are examined. An algorithm using MATLAB and a framework for decision-making problems are verified. Finally, the chemical application for the classification of amino acids (AAs) is treated to highlight the significance of applying the suggested approximation. KW - Ideal; minimal structure spaces; rough set theory; approximation spaces DO - 10.32604/iasc.2023.034234