Fuzzy c-Regression Models for Fuzzy Numbers on a Graph
Tatsuya Higuchi, Sadaaki Miyamoto, and Yasunori Endo
University of Tsukuba
1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan
-  J. C. Bezdek, “Pattern Recognition with Fuzzy Objective Function Algorithms,” Kluwer, 1981.
-  S. Miyamoto, H. Ichihashi, and K. Honda, “Algorithms for Fuzzy Clustering,” Springer, Berlin, 2008.
-  R. J. Hathaway, and J. C. Bezdek, “Switching Regression Models and Fuzzy Clustering,” IEEE Trans. on Fuzzy Systems, Vol.1, No.3, pp. 195-204, 1993.
-  H. J. Tang, “Sequential Extraction of Clusters in Hard and Fuzzy Regression Models,” Master’s Thesis, Graduate School of Systems and Information Engineering, 2012.
-  H. J. Tang, and S. Miyamoto, “Semi-supervised Sequential Kernel Regression Models with Pairwise Constraints,” V. Torra et al. (eds.), Modeling Decisions for Artificial Intelligence, LNAI 8234, Springer, Berlin, pp. 166-178, 2013.
-  C. J. Stone, “Consistent Nonparametric Regression,” The Annals of Statistics, Vol.5, No.4, pp. 595-620, 1977.
-  M. G. Kendall, “A course in multivariate analysis,” Hafner, London, 1957.
-  R. M. Mansfield, “PCR: Principal Component Regression Analysis,” J. of Marketing Research, Vol.15, No.3, pp. 471-472, 1978.
-  H. J. Zimmermann, “Fuzzy Set Theory and Its Applications,” Kluwer, Dordecht, 1991.
-  H. Tanaka, S. Vejima, and K. Asai, “Linear Regression Analysis with Fuzzy Model,” IEEE Trans. on Systems, Man, Cybernetics, Vol.12, pp. 903-907, 1982.
-  M. S. Yang and C. H. Ko, “On Cluster-wise Fuzzy Regression Analysis,” IEEE Trans. on Systems, Man, and Cybernetics, Part B: Cybernetics, Vol.27, No.1, pp. 1-13, 1997.
-  M. S. Yang and C. H. Ko, “On A Class of Fuzzy c-numbers Clustering Procedures for Fuzzy Data,” Fuzzy Sets and Systems, Vol.84, No.1, pp. 49-60, 1996.
-  J. Shao, “Linear Model Selection by Cross-Validation,” J. of the American Statistical Association, Vol.88, No.422, pp. 486-494, 1993.
-  M. E. Newman, “Finding Community Structure in Networks Using the Eigenvectors of Matrices,” Physical review E., Vol.74, No.3, 036104. 2006.
-  http://www-personal.umich.edu/ mejn/netdata/adjnoun.zip [Accessed February, 2015]
-  V. D. Blondel, A. Gajardo, M. Heymans, P. Senellart, and P. Van Dooren, “A Measure of Similarity between graph vertices: Applications to synonym extraction and web searching,” SIAM review, Vol.46, No.4, pp. 647-666, 2004.
-  SentiWordNet, http://sentiwordnet.isti.cnr.it/ [Accessed February, 2015]
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