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Dealing with Distances and Transformations for Fuzzy C-Means Clustering of Compositional Data

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  • Javier Palarea-Albaladejo
  • Josep Martín-Fernández
  • Jesús Soto

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  • Javier Palarea-Albaladejo & Josep Martín-Fernández & Jesús Soto, 2012. "Dealing with Distances and Transformations for Fuzzy C-Means Clustering of Compositional Data," Journal of Classification, Springer;The Classification Society, vol. 29(2), pages 144-169, July.
    • Handle: RePEc:spr:jclass:v:29:y:2012:i:2:p:144-169
    DOI: 10.1007/s00357-012-9105-4
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    References listed on IDEAS

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    1. Wang, Huiwen & Liu, Qiang & Mok, Henry M.K. & Fu, Linghui & Tse, Wai Man, 2007. "A hyperspherical transformation forecasting model for compositional data," European Journal of Operational Research, Elsevier, vol. 179(2), pages 459-468, June.
    2. Wayne DeSarbo & Venkatram Ramaswamy & Peter Lenk, 1993. "A latent class procedure for the structural analysis of two-way compositional data," Journal of Classification, Springer;The Classification Society, vol. 10(2), pages 159-193, December.
    3. Berget, Ingunn & Mevik, Bjorn-Helge & Naes, Tormod, 2008. "New modifications and applications of fuzzy C-means methodology," Computational Statistics & Data Analysis, Elsevier, vol. 52(5), pages 2403-2418, January.
    4. John Aitchison & Michael Greenacre, 2002. "Biplots of compositional data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 51(4), pages 375-392, October.
    5. Doring, Christian & Lesot, Marie-Jeanne & Kruse, Rudolf, 2006. "Data analysis with fuzzy clustering methods," Computational Statistics & Data Analysis, Elsevier, vol. 51(1), pages 192-214, November.
    6. Michael Greenacre, 1988. "Clustering the rows and columns of a contingency table," Journal of Classification, Springer;The Classification Society, vol. 5(1), pages 39-51, March.
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    Citations

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    Cited by:

    1. Yameng Wang & Apurbo Sarkar & Linyan Ma & Qian Wu & Feng Wei, 2021. "Measurement of Investment Potential and Spatial Distribution of Arable Land among Countries within the “Belt and Road Initiative”," Agriculture, MDPI, vol. 11(9), pages 1-23, September.
    2. Tsagris, Michail & Preston, Simon & T.A. Wood, Andrew, 2016. "Improved classi cation for compositional data using the $\alpha$-transformation," MPRA Paper 67657, University Library of Munich, Germany.
    3. Tang, Ming & Liao, Huchang & Xu, Jiuping & Streimikiene, Dalia & Zheng, Xiaosong, 2020. "Adaptive consensus reaching process with hybrid strategies for large-scale group decision making," European Journal of Operational Research, Elsevier, vol. 282(3), pages 957-971.
    4. Michail Tsagris & Simon Preston & Andrew T. A. Wood, 2016. "Improved Classification for Compositional Data Using the α-transformation," Journal of Classification, Springer;The Classification Society, vol. 33(2), pages 243-261, July.
    5. J. A. Martín-Fernández, 2019. "Comments on: Compositional data: the sample space and its structure," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(3), pages 653-657, September.
    6. Morais, Joanna & Simioni, Michel & Thomas-Agnan, Christine, 2016. "A tour of regression models for explaining shares," TSE Working Papers 16-742, Toulouse School of Economics (TSE).
    7. Karel Hron & Paula Brito & Peter Filzmoser, 2017. "Exploratory data analysis for interval compositional data," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 11(2), pages 223-241, June.
    8. Jan Skála & Radim Vácha & Pavel Čupr, 2018. "Which Compounds Contribute Most to Elevated Soil Pollution and the Corresponding Health Risks in Floodplains in the Headwater Areas of the Central European Watershed?," IJERPH, MDPI, vol. 15(6), pages 1-16, June.
    9. Xiaona Na & Yangyang Chen & Xiaochuan Ma & Dongping Wang & Haojie Wang & Yang Song & Yumeng Hua & Peiyu Wang & Aiping Liu, 2021. "Relations of Lifestyle Behavior Clusters to Dyslipidemia in China: A Compositional Data Analysis," IJERPH, MDPI, vol. 18(15), pages 1-13, July.

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