The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON CIRCUITS AND SYSTEMS
Transactions ID Number: 53-494
Full Name: Issam Dagher
Position: Associate Professor
Age: ON
Sex: Male
Address: University of balamand. POBOX 100. Elkoura
Country: LEBANON
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E-mail address: dagheri@balamand.edu.lb
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Title of the Paper: Fuzzy C-means with complex prototypes
Authors as they appear in the Paper: Issam Dagher
Email addresses of all the authors: dagheri@balamand.edu.lb
Number of paper pages: 15
Abstract: Clustering analysis is the process of separating data according to some similarity measure. A cluster consists of data which more are similar to each other than to other clusters. The similarity of a datum to a certain cluster can be defined as the distance of that datum to the prototype of that cluster. Typically, the prototype of a cluster is a real vector which is called the center of that cluster. In this paper, the prototype of a cluster is generalized to be a complex vector (complex center). A new distance measure is introduced. New formulas for the fuzzy membership and the fuzzy covariance matrix are introduced. Cluster validity measures are used to assess the goodness of the partitions obtained by the complex centers compared those obtained by the real centers. The validity measures used in this paper are the Partition Coefficient (PC), Classification Entropy (CE), Partition Index (SC), Separation Index (S), Xie and Beni's Index(XB), Dunn's Index (DI) . I!
t is shown in this paper that clustering with complex prototypes will give better partitions of the data than using real prototypes
Keywords: Clustering, FCM, GK, validity measure,Complex prototypes.
EXTENSION of the file: .doc
Special (Invited) Session: Fuzzy Systems and Applications
Organizer of the Session:
How Did you learn about congress: Fuzzy clustering. Validity measures. Complex prototypes
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