On intuitionistic fuzzy clustering for its application to privacy

Motivated by our research on specific information loss measures (in privacy preserving data mining) and our need to compare fuzzy clusters, we proposed in a recent paper a definition for intuitionistic fuzzy partitions. We showed how to define them in the framework of fuzzy clustering. That is, we introduced a method to define intuitionistic fuzzy partitions from the results of fuzzy clustering. In this paper we further study such intuitionistic fuzzy partitions and we extend our previous results with other types of fuzzy clustering algorithms.

[1]  Sadaaki Miyamoto,et al.  Fuzzy c-means as a regularization and maximum entropy approach , 1997 .

[2]  J. C. Peters,et al.  Fuzzy Cluster Analysis : A New Method to Predict Future Cardiac Events in Patients With Positive Stress Tests , 1998 .

[3]  Sadaaki Miyamoto,et al.  Methods in Hard and Fuzzy Clustering , 2000 .

[4]  Trevor Hastie,et al.  The Elements of Statistical Learning , 2001 .

[5]  Ramón López de Mántaras,et al.  A distance-based attribute selection measure for decision tree induction , 1991, Machine Learning.

[6]  Kenneth G. Manton,et al.  Fuzzy Cluster Analysis , 2005 .

[7]  James C. Bezdek,et al.  Pattern Recognition with Fuzzy Objective Function Algorithms , 1981, Advanced Applications in Pattern Recognition.

[8]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[9]  Sadaaki Miyamoto,et al.  On the Comparison of Some Fuzzy Clustering Methods for Privacy Preserving Data Mining: Towards the Development of Specific Information Loss Measures , 2009, Kybernetika.

[10]  Vicenç Torra,et al.  On the Comparison of Generic Information Loss Measures and Cluster-Specific Ones , 2008, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[11]  Zhu Wei-peng On fuzzy c-means for data with tolerance , 2010 .

[12]  V. Torra,et al.  Disclosure control methods and information loss for microdata , 2001 .

[13]  Enrique H. Ruspini,et al.  A New Approach to Clustering , 1969, Inf. Control..

[14]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[15]  Vicenç Torra,et al.  Cluster-Specific Information Loss Measures in Data Privacy: A Review , 2008, 2008 Third International Conference on Availability, Reliability and Security.

[16]  Hidetomo Ichihashi,et al.  Gaussian Mixture PDF Approximation and Fuzzy c-Means Clustering with Entropy Regularization , 2000 .

[17]  Sadaaki Miyamoto,et al.  Fuzzy c -Means for Data with Tolerance Defined as Hyper-Rectangle , 2007, MDAI.

[18]  T. Kunii,et al.  Soft Computing and Human-Centered Machines , 2013, Computer Science Workbench.

[19]  Lakhmi C. Jain,et al.  Introduction to Fuzzy Clustering , 2006 .