Identify education quality based on Islamic senior high school data in Kompetisi Sains Madrasah using fuzzy c-means clustering

The education system in a country certainly has goals to be achieved. Many attempts were made to achieve the success of an education system that was created. This case causes competition between educational institutions and between students. The results of the competition can also represent schools that need special attention to improving learning systems. The learning system in Indonesia needs evaluation because of educational quality not perfectly. In this research, the fuzzy c-means (FCM) method is used to cluster the quality of existing Kompetisi Sains Madrasah (KSM) participant data to find schools that have good quality education. Next, a cluster evaluation is performed to determine the success of the cluster using silhouettes. Based on 4 trials, that are 3 clusters, 4 clusters, 5 clusters, and 6 clusters, the best results are on 3 clusters with the best silhouette value of 0.6499 with a standard deviation value of 0.2419. In the identification process, the results obtained that SMA has the best education quality in KSM.