Fuzzy clustering algorithm for fuzzy data based on α-cuts

Authors:
S. Effati;H. Sadoghi Yazdi;A. Jiryani Sharahi
Affiliations:
Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran;Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran;Department of Mathematics, Sabzevar Tarbiat Moallem University, Sabzevar, Iran
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology - Recent Advances in Soft Computing: Theories and Applications
Year:
2013

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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.