Knowledge Representation Based On Interval Type-2 CFCM Clustering

This paper is concerned with knowledge representation
and extraction of fuzzy if-then rules using Interval Type-2
Context-based Fuzzy C-Means clustering (IT2-CFCM) with the aid of
fuzzy granulation. This proposed clustering algorithm is based on
information granulation in the form of IT2 based Fuzzy C-Means
(IT2-FCM) clustering and estimates the cluster centers by preserving
the homogeneity between the clustered patterns from the IT2 contexts
produced in the output space. Furthermore, we can obtain the
automatic knowledge representation in the design of Radial Basis
Function Networks (RBFN), Linguistic Model (LM), and Adaptive
Neuro-Fuzzy Networks (ANFN) from the numerical input-output data
pairs. We shall focus on a design of ANFN in this paper. The
experimental results on an estimation problem of energy performance
reveal that the proposed method showed a good knowledge
representation and performance in comparison with the previous
works.





References:
[1] L. A. Zadeh, “The concept of a linguistic variable and its application to
approximate resoning-1”, Information Sciences, Vol. 8, pp.199-249,
1971.
[2] N. N. Karnik, J. M. Mendel, An Introduction to Type-2 Fuzzy Logic
Systems, Univ. of Southern California, Los Angeles, CA, June, 1998.
[3] J. M. Mendel, Uncertain Rule-Based Fuzzy Logic Systems, Prentice Hall,
2001.
[4] C. Hwang, F. C. H. Rhee, “Uncertain fuzzy clustering: Interval type-2
fuzzy approach to c-means”, IEEE Trans. on Fuzzy Systems, Vol. 15, No.
1, pp. 107-120, 2007. [5] O. Linda, M. Manic, “General type-2 fuzzy c-means algorithm for
uncertain fuzzy clustering”, IEEE Trans. on Fuzzy Systems, Vol. 20, No. 5,
pp. 883-897, 2012.
[6] C. Qiu, J. Xiao, L. Han, M. N. Iqbal, “Enhanced interval type-2 fuzzy
c-means algorithm with improved initial center”, Pattern Recognition
Letter, Vol. 38, pp .86-92, 2014.
[7] N. N. Karnik, J. M. Mendel, “Centroid of a type-2 fuzzy set”, Information
Sciences, Vol. 132, No. 1, pp.195-220, 2001.
[8] L. Yao, K. S. Weng, “On a type-2 fuzzy clustering algorithm”, The
Fourth International Conference on Advanced Cognitive Technologies
and Applications, pp. 45-50, 2012.
[9] W. Pedrycz, “Conditional fuzzy c-means”, Pattern Recognition Letter,
Vol.17, pp.625-632, 1996.
[10] W. Pedrycz, “Conditional fuzzy clustering in the design of radial basis
function neural networks”, IEEE Trans. on Neural Networks, Vol. 9, No.
4, pp. 601-612, 1998.
[11] W. Pedrycz and A. V. Vasilakos, “Linguistic models and linguistic
modeling”, IEEE Trans. on Systems, Man, and Cybernetics-Part C, Vol.
29, No.6, pp.745-757, 1999.
[12] K. C. Kwak, D. H. Kim, “Adaptive neuro-fuzzy networks with the aid of
fuzzy granulation”, IEICE Trans. Information & Systems, Vol. E88D, No.
9, pp. 2189-2196, 2005.
[13] A. Tsanas, A. Xifara, “Accurate quantitative estimation of energy
performance of residential buildings using statistical machine learning
tools”, Energy and Buildings, Vol. 49, pp. 560-567, 2012.