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Some robust objectives of FCM for data analyzing
Authors:SR Kannan  R Devi  S Ramathilagam  A Sathya
Institution:1. Department of Electrical Engineering, National Cheng Kung University, Tainan 70701, Taiwan;2. Department of Mathematics, Ramanujan School of Mathematical Sciences, Pondicherry Central University, Pondicherry 605 041, India;3. Department of Engineering Science, National Cheng Kung University, Tainan 70701, Taiwan;4. Department of Mathematics, MVM Govt. College, Dindigul, India
Abstract:There are many data clustering techniques available to extract meaningful information from real world data, but the obtained clustering results of the available techniques, running time for the performance of clustering techniques in clustering real world data are highly important. This work is strongly felt that fuzzy clustering technique is suitable one to find meaningful information and appropriate groups into real world datasets. In fuzzy clustering the objective function controls the groups or clusters and computation parts of clustering. Hence researchers in fuzzy clustering algorithm aim is to minimize the objective function that usually has number of computation parts, like calculation of cluster prototypes, degree of membership for objects, computation part for updating and stopping algorithms. This paper introduces some new effective fuzzy objective functions with effective fuzzy parameters that can help to minimize the running time and to obtain strong meaningful information or clusters into the real world datasets. Further this paper tries to introduce new way for predicting membership, centres by minimizing the proposed new fuzzy objective functions. And experimental results of proposed algorithms are given to illustrate the effectiveness of proposed methods.
Keywords:Objective function  Clustering  Fuzzy c-mean  Data analyzing  Membership grades
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