{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,20]],"date-time":"2025-12-20T22:05:14Z","timestamp":1766268314182},"reference-count":40,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2013,7,3]],"date-time":"2013-07-03T00:00:00Z","timestamp":1372809600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Pattern Anal Applic"],"published-print":{"date-parts":[[2014,8]]},"DOI":"10.1007\/s10044-013-0341-y","type":"journal-article","created":{"date-parts":[[2013,7,2]],"date-time":"2013-07-02T04:43:37Z","timestamp":1372740217000},"page":"549-566","source":"Crossref","is-referenced-by-count":16,"title":["Double indices-induced FCM clustering and its integration with fuzzy subspace clustering"],"prefix":"10.1007","volume":"17","author":[{"given":"Jun","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fu-lai","family":"Chung","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shitong","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhaohong","family":"Deng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2013,7,3]]},"reference":[{"key":"341_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-0450-1","volume-title":"Pattern recognition with fuzzy objective function algorithms","author":"JC Bezdek","year":"1981","unstructured":"Bezdek JC (1981) Pattern recognition with fuzzy objective function algorithms. Plenum Press, New York"},{"key":"341_CR2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1109\/TPAMI.1980.4766964","volume":"2","author":"JC Bezdek","year":"1980","unstructured":"Bezdek JC (1980) A convergence theorem for the fuzzy ISODATA clustering algorithms. IEEE Trans Pattern Anal Mach Intell 2:1\u20138","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"6","key":"341_CR3","doi-asserted-by":"crossref","first-page":"778","DOI":"10.1109\/3477.809032","volume":"29","author":"A Baraldi","year":"1999","unstructured":"Baraldi A, Blonda P (1999) A survey of fuzzy clustering algorithms for pattern recognition. IEEE Trans Syst Man Cybern Part B 29(6):778\u2013801","journal-title":"IEEE Trans Syst Man Cybern Part B"},{"key":"341_CR4","doi-asserted-by":"crossref","first-page":"370","DOI":"10.1109\/91.413225","volume":"3","author":"NR Pal","year":"1995","unstructured":"Pal NR, Bezdek JC (1995) On cluster validity for the fuzzy c-mean model. IEEE Trans Fuzzy Syst 3:370\u2013379","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"341_CR5","doi-asserted-by":"crossref","first-page":"672","DOI":"10.1109\/72.159057","volume":"3","author":"LO Hall","year":"1992","unstructured":"Hall LO, Bensaid AM, Clarke LP (1992) A comparison of neural network and fuzzy clustering techniques in segmenting magnetic resonance images of the brain. IEEE Trans Neural Netw 3:672\u2013682","journal-title":"IEEE Trans Neural Netw"},{"key":"341_CR6","doi-asserted-by":"crossref","first-page":"248","DOI":"10.1109\/TPAMI.1986.4767778","volume":"8","author":"RL Cannon","year":"1986","unstructured":"Cannon RL, Dave JV, Bezdek JC (1986) Efficient implementation of the fuzzy c-means clustering algorithms. IEEE Trans Pattern Anal Mach Intell 8:248\u2013255","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"1","key":"341_CR7","doi-asserted-by":"crossref","first-page":"634","DOI":"10.1109\/TSMCB.2003.810951","volume":"34","author":"J Yu","year":"2004","unstructured":"Yu J, Cheng Q, Huang H (2004) Analysis of the weighting exponent in the FCM. IEEE Trans Syst Man Cybern Part B 34(1):634\u2013638","journal-title":"IEEE Trans Syst Man Cybern Part B"},{"issue":"4","key":"341_CR8","doi-asserted-by":"crossref","first-page":"523","DOI":"10.1109\/TKDE.2008.178","volume":"21","author":"CM Hsu","year":"2009","unstructured":"Hsu CM, Chen MS (2009) On the design and applicability of distance functions in high-dimensional data space. IEEE Trans Knowl Data Eng 21(4):523\u2013536","journal-title":"IEEE Trans Knowl Data Eng"},{"key":"341_CR9","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1007\/3-540-49257-7_15","volume":"1540","author":"K Beyer","year":"1999","unstructured":"Beyer K, Goldstein J, Ramakrishnan R, Shaft U (1999) When is \u2018nearest neighbor\u2019 meaningful. Lect Notes Comput Sci 1540:217\u2013235","journal-title":"Lect Notes Comput Sci"},{"key":"341_CR10","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1007\/BF01908720","volume":"7","author":"PE Green","year":"1990","unstructured":"Green PE, Carmone FJ, Kim J (1990) A preliminary study of optimal variable weighting in k-means clustering. J Classif 7:271\u2013285","journal-title":"J Classif"},{"key":"341_CR11","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1007\/BF00227423","volume":"20","author":"G Soete De","year":"1986","unstructured":"De Soete G (1986) Optimal variable weighting for ultrametric and additive tree clustering. Qual Quant 20:169\u2013180","journal-title":"Qual Quant"},{"key":"341_CR12","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1007\/BF01202271","volume":"12","author":"R Gnanadesikan","year":"1995","unstructured":"Gnanadesikan R, Kettenring J, Tsao S (1995) Weighting and selection of variables for cluster analysis. J Classif 12:113\u2013136","journal-title":"J Classif"},{"issue":"11","key":"341_CR13","doi-asserted-by":"crossref","first-page":"1061","DOI":"10.1007\/s00500-005-0043-5","volume":"10","author":"H Shen","year":"2006","unstructured":"Shen H, Yang J, Wang S, Liu X (2006) Attribute weighted mercer kernel based fuzzy clustering algorithm for general non-spherical datasets. Soft Comput 10(11):1061\u20131073","journal-title":"Soft Comput"},{"key":"341_CR14","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1007\/s00357-001-0018-x","volume":"18","author":"V Makarenkov","year":"2001","unstructured":"Makarenkov V, Legendre P (2001) Optimal variable weighting for ultrametric and additive trees and k-means partitioning: methods and software. J Classif 18:245\u2013271","journal-title":"J Classif"},{"issue":"5","key":"341_CR15","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1109\/TPAMI.2005.95","volume":"27","author":"JZ Huang","year":"2005","unstructured":"Huang JZ, Ng MK, Rong H, Li Z (2005) Automated variable weighting in k-means type clustering. IEEE Trans Pattern Anal Mach Intell 27(5):1\u201312","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"key":"341_CR16","unstructured":"Lee DD, Seung HS (2000) Algorithms for nonnegative matrix factorization. In: Proceedings of neural information systems, pp 942\u2013948"},{"key":"341_CR17","doi-asserted-by":"crossref","first-page":"2756","DOI":"10.1162\/neco.2007.19.10.2756","volume":"19","author":"CJ Lin","year":"2007","unstructured":"Lin CJ (2007) Projected gradient methods for non-negative matrix factorization. Neural Comput 19:2756\u20132779","journal-title":"Neural Comput"},{"key":"341_CR18","unstructured":"Bucak SS, Gunsel B (2010) Efficient document clustering via online nonnegative matrix factorization. In: Proceedings of 2010 IEEE international conference on data mining"},{"key":"341_CR19","doi-asserted-by":"crossref","unstructured":"Xu W, Liu X, Gong Y (2003) Document clustering based on non-negative matrix factorization. In: Proceedings of ACM special interest group on information retrieval, pp 267\u2013273, August 2003","DOI":"10.1145\/860435.860485"},{"issue":"6","key":"341_CR20","doi-asserted-by":"crossref","first-page":"2882","DOI":"10.1109\/TSP.2012.2190406","volume":"60","author":"N Guan","year":"2012","unstructured":"Guan N, Tao D, Luo Z, Yuan B (2012) NeNMF: an optimal gradient method for non-negative matrix factorization. IEEE Trans Signal Process 60(6):2882\u20132898","journal-title":"IEEE Trans Signal Process"},{"key":"341_CR21","unstructured":"Ding C, He X, Simon HD (2006) On the equivalence of nonnegative matrix factorization and spectral clustering. In: Proceedings of 2006 SIAM data mining conference, pp 606\u2013610"},{"issue":"3","key":"341_CR22","doi-asserted-by":"crossref","first-page":"767","DOI":"10.1016\/j.patcog.2009.09.010","volume":"43","author":"Z Deng","year":"2010","unstructured":"Deng Z, Choi K, Chung F, Wang S (2010) Enhanced soft subspace clustering integrating within-cluster and between-cluster information. Pattern Recogn 43(3):767\u2013781","journal-title":"Pattern Recogn"},{"key":"341_CR23","volume-title":"Nonlinear programming: a unified approach","author":"WI Zangwill","year":"1969","unstructured":"Zangwill WI (1969) Nonlinear programming: a unified approach. Prentice-Hall, Englewood Cliffs, NJ"},{"key":"341_CR24","doi-asserted-by":"crossref","first-page":"1939","DOI":"10.1016\/j.patcog.2007.11.011","volume":"41","author":"G Gan","year":"2008","unstructured":"Gan G, Wu J (2008) A convergence theorem for the fuzzy subspace clustering (FSC) algorithm. Pattern Recogn 41:1939\u20131947","journal-title":"Pattern Recogn"},{"key":"341_CR25","unstructured":"Hathaway R, Bezdek J, Tucker W (1987) An improved convergence theorem for the fuzzy c-means clustering algorithms. In: Bezdek J (ed) Analysis of fuzzy information, vol.III. CRC Press, Boca Raton, pp 123\u2013131"},{"key":"341_CR26","first-page":"30","volume":"3","author":"JH Havrda","year":"1967","unstructured":"Havrda JH, Charvat F (1967) Quantification methods of classification processes: concepts of structural \u03b1-entropy. Kybernetica 3:30\u201335","journal-title":"Kybernetica"},{"key":"341_CR27","doi-asserted-by":"crossref","first-page":"98","DOI":"10.1109\/91.227387","volume":"1","author":"R Krishnapuram","year":"1993","unstructured":"Krishnapuram R, Keller J (1993) A possibilistic approach to clustering. IEEE Trans Fuzzy Syst 1:98\u2013110","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"13","key":"341_CR28","doi-asserted-by":"crossref","first-page":"1515","DOI":"10.1016\/S0167-8655(02)00115-0","volume":"23","author":"W Pedrycz","year":"2002","unstructured":"Pedrycz W, Vukovich G (2002) Logic-oriented fuzzy clustering. Pattern Recogn Lett 23(13):1515\u20131527","journal-title":"Pattern Recogn Lett"},{"issue":"10","key":"341_CR29","doi-asserted-by":"crossref","first-page":"2267","DOI":"10.1016\/S0031-3203(01)00197-2","volume":"35","author":"KL Wu","year":"2002","unstructured":"Wu KL, Yang MS (2002) Alternative c-means clustering algorithms. Pattern Recogn 35(10):2267\u20132278","journal-title":"Pattern Recogn"},{"issue":"3","key":"341_CR30","doi-asserted-by":"crossref","first-page":"578","DOI":"10.1109\/TSMCB.2008.2004818","volume":"39","author":"Z Lin","year":"2009","unstructured":"Lin Z, Chung FL, Wang ST (2009) Generalized fuzzy c-means clustering algorithm with improved fuzzy partitions. Trans Syst Man Cybern Part B 39(3):578\u2013591","journal-title":"Trans Syst Man Cybern Part B"},{"key":"341_CR31","unstructured":"Newman DJ, Hettich S, Blake CL et al (1998) UCI repository of machine learning databases. Department of Information and Computer Science, University of California, Irvine. ( http:\/\/archive.ics.uci.edu\/ml\/ )"},{"issue":"2","key":"341_CR32","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1145\/304181.304188","volume":"28","author":"CC Aggarwal","year":"1999","unstructured":"Aggarwal CC, Procopiuc CM, Wolf JL, Yu PS, Park JS (1999) Fast algorithms for projected clustering. SIGMOD Record 28(2):61\u201372","journal-title":"SIGMOD Record"},{"key":"341_CR33","unstructured":"http:\/\/glaros.dtc.umn.edu\/gkhome\/fetch\/sw\/cluto\/datasets.tar.gz , 2009"},{"key":"341_CR34","unstructured":"UCI KDD Archive. http:\/\/kdd.ics.uci.edu\/databases\/20newsgroups , 2005"},{"key":"341_CR35","doi-asserted-by":"crossref","first-page":"846","DOI":"10.1080\/01621459.1971.10482356","volume":"66","author":"WM Rand","year":"1971","unstructured":"Rand WM (1971) Objective criteria for the evaluation of clustering methods. J Am Stat Assoc 66:846\u2013850","journal-title":"J Am Stat Assoc"},{"key":"341_CR36","unstructured":"Zhong S, Ghosh J (2003) A comparative study of generative models for documents clustering. In: Proceedings of SDW workshop clustering high-dimensional data and its applications, May 2003"},{"issue":"8","key":"341_CR37","doi-asserted-by":"crossref","first-page":"1026","DOI":"10.1109\/TKDE.2007.1048","volume":"19","author":"L Jing","year":"2007","unstructured":"Jing L, Ng MK, Huang JZ (2007) An entropy weighting k-means algorithm for subspace clustering of high-dimensional sparse data. IEEE Trans Knowl Data Eng 19(8):1026\u20131041","journal-title":"IEEE Trans Knowl Data Eng"},{"key":"341_CR38","unstructured":"Ng AY, Jordan MI, Weiss Y (2001) On spectral clustering: analysis and an algorithm. In: Advances in neural information processing systems, pp 849\u2013856"},{"key":"341_CR39","doi-asserted-by":"crossref","unstructured":"Kim J, Park H (2008) Toward faster nonnegative matrix factorization: A new algorithm and comparisons. In: Proceedings of 8th IEEE international conference of data mining, pp 353\u2013362","DOI":"10.1109\/ICDM.2008.149"},{"issue":"1","key":"341_CR40","doi-asserted-by":"crossref","first-page":"164","DOI":"10.1109\/TFUZZ.2004.836065","volume":"13","author":"J Yu","year":"2005","unstructured":"Yu J, Yang MS (2005) Optimality test for generalized FCM and its application to parameter selection. IEEE Trans Fuzzy Syst 13(1):164\u2013176","journal-title":"IEEE Trans Fuzzy Syst"}],"container-title":["Pattern Analysis and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10044-013-0341-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10044-013-0341-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10044-013-0341-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,7,29]],"date-time":"2020-07-29T13:40:29Z","timestamp":1596030029000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10044-013-0341-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,7,3]]},"references-count":40,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2014,8]]}},"alternative-id":["341"],"URL":"https:\/\/doi.org\/10.1007\/s10044-013-0341-y","relation":{},"ISSN":["1433-7541","1433-755X"],"issn-type":[{"value":"1433-7541","type":"print"},{"value":"1433-755X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,7,3]]}}}