Type-2 Fuzzy Clustering

Clustering can be part of training strategy for such neural networks as RBF and logical and ordinary fuzzy neural networks in case of presence of large sets of crisp and noisy training data. This chapter contains elements of general and interval type-2 FCM clustering methods, interval type-2 fuzzy clustering using DE, and design of type-2 neural networks with clustering.

[1]  I. Türksen,et al.  Upper and lower values for the level of fuzziness in FCM , 2007, Inf. Sci..

[2]  F. Chung-Hoon Rhee.  Uncertain Fuzzy Clustering: Insights and Recommendations , 2007 .

[3]  Hooman Tahayori,et al.  Approximated Type-2 Fuzzy Set Operations , 2006, 2006 IEEE International Conference on Fuzzy Systems.

[4]  Congxin Wu,et al.  Approximation capabilities of multilayer fuzzy neural networks on the set of fuzzy-valued functions , 2009, Inf. Sci..

[5]  Witold Pedrycz,et al.  Advances in Fuzzy Clustering and its Applications , 2007 .

[6]  Derek A. Linkens,et al.  Rule-base self-generation and simplification for data-driven fuzzy models , 2004, Fuzzy Sets Syst..

[7]  M. Pavel,et al.  Mathematics in pattern recognition , 1992 .

[8]  Milos Manic,et al.  General Type-2 Fuzzy C-Means Algorithm for Uncertain Fuzzy Clustering , 2012, IEEE Transactions on Fuzzy Systems.

[9]  Michael Negnevitsky,et al.  Artificial Intelligence: A Guide to Intelligent Systems , 2001 .

[10]  Feilong Liu,et al.  An efficient centroid type-reduction strategy for general type-2 fuzzy logic system , 2008, Inf. Sci..

[11]  Witold Pedrycz,et al.  Fuzzy vector quantization with the particle swarm optimization: A study in fuzzy granulation-degranulation information processing , 2007, Signal Process..

[12]  Witold Pedrycz,et al.  Type-2 fuzzy neural networks with fuzzy clustering and differential evolution optimization , 2011, Inf. Sci..

[13]  Jerry M. Mendel,et al.  Centroid of a type-2 fuzzy set , 2001, Inf. Sci..

[14]  Jerry M. Mendel,et al.  $\alpha$-Plane Representation for Type-2 Fuzzy Sets: Theory and Applications , 2009, IEEE Transactions on Fuzzy Systems.

[15]  Frank Chung-Hoon Rhee,et al.  Uncertain Fuzzy Clustering: Interval Type-2 Fuzzy Approach to $C$-Means , 2007, IEEE Transactions on Fuzzy Systems.

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