The criteria of air quality assessment are analyzed independently, leaving aside the systemic approach of environment, where air quality is influenced and controlled by many types of factors and different parameters that interact and restrict each other, for that reason a higher evaluation system is proposed using Grey Clustering analysis based on fuzzy logic, which considers the high degree of uncertainty present in the environment. The methodological proposal will assess the quality of air in Lima Metropolitana. In this work, we apply Center-point triangular whitenization weight functions (CTWF) method, also it will be demonstrated that the proposed model is exact, comparable and applicable. Ten monitoring points from cities of Lima Metropolitana were obtained from the National Service of Meteorology and Hydrology of Peru - Senamhi. The CTWF method was applied using parameters of air quality such as PM10, PM2.5, SO2 y N02. Then, the results were ranked using the Year Average Common Air Quality Index (YACAQI). Consequently, the results showed most and least polluted cities. Finally, the results of this study could be used by local authorities or central government to make the best decision to focus on the main persistent pollutants in the environment.