Affiliations: Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran | Department of Mathematics, Sabzevar Tarbiat Moallem University, Sabzevar, Iran
Note: [] Corresponding author. S. Effati, Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran. E-mails: s-effati@um.ac.ir (S. Effati), sadoghi@sttu.ac.ir (H. Sadoghi), jiryani@gmail.com (A. Jiryani).
Abstract: This paper presents fuzzy clustering algorithm for fuzzy data based on α-cuts. A new suitable definition for distance between two arbitrary fuzzy numbers based on α-cuts is proposed. We then reformulate fuzzy c-means (FCM) with fuzzy data and fuzzy centers based on α-cuts. The effectiveness of the proposed clustering algorithm is tested for three fuzzy data sets and then it is compared with other methods; the fuzzy c-number (FCN) algorithm, Hathaway's FCM algorithm and the mixed-type variables FCM (MVFCM) algorithm.
