Abstract
This paper presents a dynamic clustering model in which clusters are constructed in order to find the features of the dynamical change.
If the similarity between the objects is observed depending on time or parameters which are satisfying the total order relation, then it is important to capture the change in the results of clustering according to the change in time. In this paper, we construct a model which can represent dynamically changing clusters by introducing the concepts of conventional dynamic MDS (Ambrosi, K. and Hansohm, J., 1987) or dynamic PCA (Baba, Y. and Nakamura, Y., 1997) into the additive clustering model (Sato, M. and Sato, Y., 1995).
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References
Ambrosi, K. and Hansohm, J. (1987), “Ein dynamischer Ansatz zur Repräsentation von Objekten”, In Operations Research Proceedings 1986, Berlin: Springer-Verlag.
Baba, Y. and Nakamura, Y. (1997), “Jikan Henka wo tomonau Syuseibun Bunsekihou (in Japanese)”, 11th Japanese Society of Computational Statistics, 82–85.
Carroll, J.D. and Chang, J.J. (1970), “Analysis of individual differences in multidimensional scaling via an N-way generalization of “Eckart-Young” decomposition”, Psychometrika, 35, 283–319.
Carroll, J.D. and Arable, P. (1983), “INDCLUS: An individual differences generalization of the ADCLUS model and MAPCLUS algorithm”, Psychometrika, 48, 157–169.
Menger, K. (1942), “Statistical Metrics”, Proc. Nat Acad. Sci. U.S.A., 28, 535–537.
Sato, M. and Sato, Y. (1994), “On a Multicriteria Fuzzy Clustering Method for 3-Way Data “, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2, 127–142.
Sato, M. and Sato, Y. (1995), “On a General Fuzzy Additive Clustering Model”, International Journal of Intelligent Automation and Soft Computing, 1, No. 4, 439–448.
Sato M. and Sato, Y. (1997), “Generalized Fuzzy Clustering Model for 3-way Data”, International Conference on Fuzzy Logic and its Applications, 132–137.
Schweizer, B. and Sklar, A. (1983), Probabilistic Metric Space, North-Holland, New York.
School Basic Survey, Ministry of Education in Japan, (1992).
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© 1998 Springer-Verlag Berlin · Heidelberg
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Sato-Ilic, M., Sato, Y. (1998). A Dynamic Additive Fuzzy Clustering Model. In: Rizzi, A., Vichi, M., Bock, HH. (eds) Advances in Data Science and Classification. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-72253-0_16
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DOI: https://doi.org/10.1007/978-3-642-72253-0_16
Publisher Name: Springer, Berlin, Heidelberg
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