{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T10:50:50Z","timestamp":1773571850259,"version":"3.50.1"},"reference-count":34,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2012,5,30]],"date-time":"2012-05-30T00:00:00Z","timestamp":1338336000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Classif"],"published-print":{"date-parts":[[2012,7]]},"DOI":"10.1007\/s00357-012-9105-4","type":"journal-article","created":{"date-parts":[[2012,5,29]],"date-time":"2012-05-29T05:05:39Z","timestamp":1338267939000},"page":"144-169","source":"Crossref","is-referenced-by-count":59,"title":["Dealing with Distances and Transformations for Fuzzy C-Means Clustering of Compositional Data"],"prefix":"10.1007","volume":"29","author":[{"given":"Javier","family":"Palarea-Albaladejo","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Josep Antoni","family":"Mart\u00edn-Fern\u00e1ndez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jes\u00fas A.","family":"Soto","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2012,5,30]]},"reference":[{"key":"9105_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-009-4109-0","volume-title":"The Statistical Analysis of Compositional Data","author":"J Aitchison","year":"1986","unstructured":"AITCHISON, J. (1986), The Statistical Analysis of Compositional Data, London: Chapman & Hall, reprinted in 2003 by Blackburn Press."},{"key":"9105_CR2","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1007\/BF00891269","volume":"24","author":"J Aitchison","year":"1992","unstructured":"AITCHISON, J. (1992), \u201cOn Criteria for Measures of Compositional Difference,\u201d Mathematical Geology, 24, 365\u2013379.","journal-title":"Mathematical Geology"},{"key":"9105_CR3","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1023\/A:1007529726302","volume":"32","author":"J Aitchison","year":"2000","unstructured":"AITCHISON, J., BARCEL\u00d3-VIDAL, C., MART\u00cdN-FERN\u00c1NDEZ, J.A., and PAWLOWSKY-GLAHN, V. (2000), \u201cLogratio Analysis and Compositional Distance,\u201d Mathematical Geology, 32, 271\u2013275.","journal-title":"Mathematical Geology"},{"key":"9105_CR4","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1111\/1467-9876.00275","volume":"51","author":"J Aitchison","year":"2002","unstructured":"AITCHISON, J., and GREENACRE, M. (2002), \u201cBiplots for Compositional Data,\u201d Journal of the Royal Statistical Society, Series C, 51, 375\u2013392.","journal-title":"Journal of the Royal Statistical Society, Series C"},{"key":"9105_CR5","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1111\/j.1475-4754.2006.00270.x","volume":"48","author":"MJ Baxter","year":"2006","unstructured":"BAXTER, M.J., and FREESTONE, I.C. (2006), \u201cLog-ratio Compositional Data Analysis in Archeometry,\u201d Archaeometry, 48, 511\u2013531.","journal-title":"Archaeometry"},{"key":"9105_CR6","doi-asserted-by":"crossref","first-page":"2403","DOI":"10.1016\/j.csda.2007.10.020","volume":"52","author":"I Berget","year":"2008","unstructured":"BERGET, I., MEVIK, B-H., and NAES, T. (2008), \u201cNew Modifications and Applications of Fuzzy C-Means Methodology,\u201d Computational Statistics & Data Analysis, 52, 2403\u20132418.","journal-title":"Computational Statistics & Data Analysis"},{"key":"9105_CR7","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-0450-1","volume-title":"Pattern Recognition with Fuzzy Objective Function Algorithms","author":"J Bezdek","year":"1981","unstructured":"BEZDEK, J. (1981), Pattern Recognition with Fuzzy Objective Function Algorithms, New York: Plenum Press."},{"key":"9105_CR8","doi-asserted-by":"crossref","first-page":"1205","DOI":"10.1198\/016214501753381850","volume":"96","author":"D Billheimer","year":"2001","unstructured":"BILLHEIMER, D., GUTTORP, P., and FAGAN, W. (2001), \u201cStatistical Interpretation of Species Composition,\u201d Journal of the American Statistical Association, 96, 1205\u20131214.","journal-title":"Journal of the American Statistical Association"},{"key":"9105_CR9","doi-asserted-by":"crossref","first-page":"702","DOI":"10.1016\/j.cageo.2009.12.011","volume":"37","author":"JE Chac\u00f3n","year":"2011","unstructured":"CHAC\u00d3N, J.E., MATEU-FIGUERAS, G., and MART\u00cdN-FERN\u00c1NDEZ, J.A. (2011), \u201cGaussian Kernels for Density Estimation with Compositional Data,\u201d Computers & Geosciences, 37, 702\u2013711.","journal-title":"Computers & Geosciences"},{"key":"9105_CR10","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1007\/BF02626090","volume":"10","author":"WS Desarbo","year":"1993","unstructured":"DESARBO, W.S., RAMASWAMY, V., and LENK, P. (1993), \u201cA Latent Class Procedure for the Structural Analysis of Two-Way Compositional Data,\u201d Journal of Classification, 10, 159\u2013193.","journal-title":"Journal of Classification"},{"key":"9105_CR11","doi-asserted-by":"crossref","first-page":"192","DOI":"10.1016\/j.csda.2006.04.030","volume":"51","author":"C D\u00f6ring","year":"2006","unstructured":"D\u00d6RING, C., LESOT, M-J., and KRUSE, R. (2006), \u201cData Analysis with Fuzzy Clustering Methods,\u201d Computational Statistics & Data Analysis, 51, 192\u2013214.","journal-title":"Computational Statistics & Data Analysis"},{"key":"9105_CR12","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1023\/A:1023818214614","volume":"35","author":"JJ Egozcue","year":"2003","unstructured":"EGOZCUE, J.J., PAWLOWSKY-GLAHN, V., MATEU-FIGUERAS, G., and BARCEL\u00d3-VIDAL, C. (2003), \u201cIsometric Logratio Transformations for Compositional Data Analysis,\u201d Mathematical Geology, 35, 279\u2013300.","journal-title":"Mathematical Geology"},{"key":"9105_CR13","unstructured":"EGOZCUE, J.J., and PAWLOWSKY-GLAHN, V. (2005), \u201cCoDa-Dendrogram: A New Exploratory Tool,\u201d in Proceedings of the Second Compositional Data Analysis Workshop - CoDaWork\u201905, Girona, Spain."},{"key":"9105_CR14","doi-asserted-by":"crossref","first-page":"453","DOI":"10.1093\/biomet\/58.3.453","volume":"58","author":"KR Gabriel","year":"1971","unstructured":"GABRIEL, K.R. (1971), \u201cThe Biplot Graphic Display of Matrices with Application to Principal Component Analysis,\u201d Biometrika, 58, 453\u2013467.","journal-title":"Biometrika"},{"key":"9105_CR15","doi-asserted-by":"crossref","first-page":"356","DOI":"10.1016\/S0033-5894(03)00088-7","volume":"60","author":"DG Gavin","year":"2003","unstructured":"GAVIN, D.G., OSWALD, W.W., WAHL, E.R., and WILLIAMS, J.W. (2003), \u201cA Statistical Approach to Evaluating Distance Metrics and Analog Assignments for Pollen Records,\u201d Quaternary Research, 60, 356\u2013367.","journal-title":"Quaternary Research"},{"key":"9105_CR16","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1007\/BF01901670","volume":"5","author":"M Greenacre","year":"1988","unstructured":"GREENACRE, M. (1988), \u201cClustering the Rows and Columns of a Contingency Table,\u201d Journal of Classification, 5, 39\u201351.","journal-title":"Journal of Classification"},{"key":"9105_CR17","volume-title":"Clustering Algorithms","author":"JA Hartigan","year":"1975","unstructured":"HARTIGAN, J.A. (1975), Clustering Algorithms, New York: Wiley & Sons."},{"key":"9105_CR18","volume-title":"Fuzzy Cluster Analysis: Methods for Classification, Data analysis, and Image Recognition","author":"F H\u00f6ppner","year":"1999","unstructured":"H\u00d6PPNER, F., KLAWONN, F., KRUSE, R., and RUNKLER, T. (1999), Fuzzy Cluster Analysis: Methods for Classification, Data analysis, and Image Recognition, Chichester: John Wiley & Sons."},{"key":"9105_CR19","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1007\/s004420100716","volume":"129","author":"P Legendre","year":"2001","unstructured":"LEGENDRE, P., and GALLAGHER, E.D. (2001), \u201cEcologically Meaningful Transformations for Ordination of Species Data,\u201d Oecologia, 129, 271\u2013280.","journal-title":"Oecologia"},{"key":"9105_CR20","unstructured":"MART\u00cdN, M.C. (1996), \u201cPerformance of Eight Dissimilarity Coefficients to Cluster a Compositional Data Set,\u201d in Abstracts of the Fifth Conference of International Federation of Classification Societies (Vol. 1), Kobe, Japan, pp. 215\u2013217."},{"key":"9105_CR21","unstructured":"MART\u00cdN-FERN\u00c1NDEZ, J.A., BREN, M., BARCEL\u00d3-VIDAL, C., and PAWLOWSKYGLAHN, V. (1999), \u201cA Measure of Difference for Compositional Data Based On Measures of Divergence,\u201d in Proceedings of the Fifth Annual Conference of the International Assotiation for Mathematical Geology (Vol. 1), Trondheim, Norway, pp. 211\u2013215."},{"key":"9105_CR22","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1023\/A:1023866030544","volume":"35","author":"JA Mart\u00edn-Fern\u00e1ndez","year":"2003","unstructured":"MART\u00cdN-FERN\u00c1NDEZ, J.A., BARCEL\u00d3-VIDAL, C., and PAWLOWSKY-GLAHN, V. (2003), \u201cDealing with Zeros and Missing Values in Compositional Data Sets,\u201d Mathematical Geology, 35, 253\u2013278.","journal-title":"Mathematical Geology"},{"key":"9105_CR23","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1023\/A:1014842906442","volume":"34","author":"WE Miller","year":"2002","unstructured":"MILLER, W.E. (2002), \u201cRevisiting the Geometry of a Ternary Diagram with the Half-Taxi Metric,\u201d Mathematical Geology, 34, 275\u2013290.","journal-title":"Mathematical Geology"},{"key":"9105_CR24","doi-asserted-by":"crossref","first-page":"625","DOI":"10.1007\/s11004-007-9100-1","volume":"39","author":"J Palarea-Albaladejo","year":"2007","unstructured":"PALAREA-ALBALADEJO, J., MART\u00cdN-FERN\u00c1NDEZ, J.A., and G\u00d3MEZ-GARC\u00cdA, J. (2007), \u201cA Parametric Approach for Dealing with Compositional Rounded Zeros,\u201d Mathematical Geology, 39, 625\u2013645.","journal-title":"Mathematical Geology"},{"key":"9105_CR25","doi-asserted-by":"crossref","first-page":"902","DOI":"10.1016\/j.cageo.2007.09.015","volume":"34","author":"J Palarea-Albaladejo","year":"2008","unstructured":"PALAREA-ALBALADEJO, J., and MART\u00cdN-FERN\u00c1NDEZ, J.A. (2008), \u201cA Modified EM alr-Algorithm for Replacing Rounded Zeros in Compositional Data Sets,\u201d Computers & Geosciences, 34, 902\u2013917.","journal-title":"Computers & Geosciences"},{"key":"9105_CR26","doi-asserted-by":"crossref","first-page":"384","DOI":"10.1007\/s004770100077","volume":"15","author":"V Pawlowsky-Glahn","year":"2001","unstructured":"PAWLOWSKY-GLAHN, V., and EGOZCUE, J.J. (2001), \u201cGeometric Approach to Statistical Analysis on the Simplex,\u201d Stochastic Environmental Research and Risk Assessment, 15, 384\u2013398.","journal-title":"Stochastic Environmental Research and Risk Assessment"},{"key":"9105_CR27","unstructured":"PAWLOWSKY-GLAHN, V. (2003), \u201cStatistical Modelling on Coordinates,\u201d in Proceedings of the First Compositional Data Analysis Workshop - CoDaWork\u201903, Girona, Spain."},{"key":"9105_CR28","unstructured":"PAWLOWSKY-GLAHN, V., and EGOZCUE, J.J. (2008), \u201cCompositional Data and Simpson\u2019s Paradox,\u201d in Proceedings of the Third Compositional Data Analysis Workshop - CoDaWork\u201908, Girona, Spain."},{"key":"9105_CR29","doi-asserted-by":"crossref","first-page":"406","DOI":"10.1016\/j.fss.2007.08.016","volume":"159","author":"J Soto","year":"2008","unstructured":"SOTO, J., FLORES-SINTAS, A., and PALAREA-ALBALADEJO, J. (2008), \u201cImproving Probabilities in a Fuzzy Clustering Partition,\u201d Fuzzy Sets & Systems, 159, 406\u2013421.","journal-title":"Fuzzy Sets & Systems"},{"key":"9105_CR30","doi-asserted-by":"crossref","first-page":"2198","DOI":"10.1016\/j.apgeochem.2008.03.004","volume":"23","author":"M Templ","year":"2008","unstructured":"TEMPL, M., FILZMOSER, P., and REIMANN, C. (2008), \u201cCluster Analysis Applied to Regional Geochemical Data: Problems and Possibilities,\u201d Applied Geochemistry, 23, 2198\u20132213.","journal-title":"Applied Geochemistry"},{"key":"9105_CR31","doi-asserted-by":"crossref","first-page":"246","DOI":"10.1186\/1471-2105-8-246","volume":"8","author":"R V\u00eancio","year":"2007","unstructured":"V\u00caNCIO, R., VARUZZA, L., PEREIRA, C., BRENTANI, H. and SHMULEVICH, I. (2007), \u201cSimcluster: Clustering Enumeration Gene Expression Data on the Simplex Space,\u201d BMC Bioinformatics, 8, 246.","journal-title":"BMC Bioinformatics"},{"key":"9105_CR32","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/S0034-6667(03)00137-4","volume":"128","author":"ER Wahl","year":"2004","unstructured":"WAHL, E.R. (2004), \u201cA General Framework for Determining Cut-off Values to Select Pollen Analogs with Dissimilarity Metrics in the Modern Analog Technique,\u201d Review of Palaeobotany and Palynology, 128, 263\u2013280.","journal-title":"Review of Palaeobotany and Palynology"},{"key":"9105_CR33","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1016\/j.ejor.2006.03.039","volume":"179","author":"H Wang","year":"2007","unstructured":"WANG, H., LIU, Q., MOK, H.M.K., FU, L., and TSE, W.M. (2007), \u201cA Hyperspherical Transformation Forecasting Model for Compositional Data,\u201d European Journal of Operations Research, 179, 459\u2013468.","journal-title":"European Journal of Operations Research"},{"key":"9105_CR34","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1007\/BF00893217","volume":"21","author":"DF Watson","year":"1989","unstructured":"WATSON, D.F., and PHILIP, G.M. (1989), \u201cMeasures of Variability for Geological Data,\u201d Mathematical Geology, 21, 233\u2013254.","journal-title":"Mathematical Geology"}],"container-title":["Journal of Classification"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00357-012-9105-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00357-012-9105-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00357-012-9105-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T14:30:12Z","timestamp":1559053812000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00357-012-9105-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,5,30]]},"references-count":34,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2012,7]]}},"alternative-id":["9105"],"URL":"https:\/\/doi.org\/10.1007\/s00357-012-9105-4","relation":{},"ISSN":["0176-4268","1432-1343"],"issn-type":[{"value":"0176-4268","type":"print"},{"value":"1432-1343","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,5,30]]}}}