{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,6]],"date-time":"2025-07-06T07:21:22Z","timestamp":1751786482438},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"3-4","license":[{"start":{"date-parts":[[2010,8,1]],"date-time":"2010-08-01T00:00:00Z","timestamp":1280620800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Evol. Intel."],"published-print":{"date-parts":[[2010,12]]},"DOI":"10.1007\/s12065-010-0041-0","type":"journal-article","created":{"date-parts":[[2010,7,31]],"date-time":"2010-07-31T12:23:25Z","timestamp":1280579005000},"page":"103-122","source":"Crossref","is-referenced-by-count":7,"title":["Use of symmetry and stability for data clustering"],"prefix":"10.1007","volume":"3","author":[{"given":"Sriparna","family":"Saha","sequence":"first","affiliation":[]},{"given":"Ujjwal","family":"Maulik","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2010,8,1]]},"reference":[{"issue":"12","key":"41_CR1","doi-asserted-by":"crossref","first-page":"1650","DOI":"10.1109\/TPAMI.2002.1114856","volume":"24","author":"U Maulik","year":"2002","unstructured":"Maulik U, Bandyopadhyay S (2002) Performance evaluation of some clustering algorithms and validity indices. IEEE Trans Pattern Anal Mach Intell 24(12):1650\u20131654","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"3","key":"41_CR2","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1080\/01969727308546046","volume":"3","author":"JC Dunn","year":"1973","unstructured":"Dunn JC (1973) A fuzzy relative of the ISODATA process and its use in detecting compact well-separated clusters. J Cybernet 3(3):32\u201357","journal-title":"J Cybernet"},{"issue":"8","key":"41_CR3","doi-asserted-by":"crossref","first-page":"841","DOI":"10.1109\/34.85677","volume":"13","author":"XL Xie","year":"1991","unstructured":"Xie XL, Beni G (1991) A validity measure for fuzzy clustering. IEEE Trans Pattern Anal Mach Intell 13(8):841\u2013847","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"2","key":"41_CR4","first-page":"205","volume":"7","author":"CH Chou","year":"2004","unstructured":"Chou CH, Su MC, Lai E (2004) A new cluster validity measure and its application to image compression. Pattern Anal Appl 7(2):205\u2013220","journal-title":"Pattern Anal Appl"},{"issue":"12","key":"41_CR5","doi-asserted-by":"crossref","first-page":"3430","DOI":"10.1016\/j.patcog.2007.03.026","volume":"40","author":"S Bandyopadhyay","year":"2007","unstructured":"Bandyopadhyay S, Saha S (2007) GAPS: A clustering method using a new point symmetry based distance measure. Pattern Recognit 40(12):3430\u20133451","journal-title":"Pattern Recognit"},{"issue":"11","key":"41_CR6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1109\/TKDE.2008.79","volume":"20","author":"S Bandyopadhyay","year":"2008","unstructured":"Bandyopadhyay S, Saha S (2008) A point symmetry based clustering technique for automatic evolution of clusters. IEEE Trans Knowl Data Eng 20(11):1\u201317","journal-title":"IEEE Trans Knowl Data Eng"},{"key":"41_CR7","doi-asserted-by":"crossref","first-page":"209","DOI":"10.2307\/1418892","volume":"68","author":"F Attneave","year":"1995","unstructured":"Attneave F (1995) Symmetry information and memory for pattern. Am J Psychol 68:209\u2013222","journal-title":"Am J Psychol"},{"key":"41_CR8","volume-title":"Multi-objective optimization using evolutionary algorithms","author":"K Deb","year":"2001","unstructured":"Deb K (2001) Multi-objective optimization using evolutionary algorithms. Wiley, England"},{"issue":"3","key":"41_CR9","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1109\/TEVC.2007.900837","volume":"12","author":"S Bandyopadhyay","year":"2008","unstructured":"Bandyopadhyay S, Saha S, Maulik U, Deb K (2008) A simulated annealing based multi-objective optimization algorithm: AMOSA. IEEE Trans Evol Comput 12(3):269\u2013283","journal-title":"IEEE Trans Evol Comput"},{"issue":"1","key":"41_CR10","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1109\/TEVC.2006.877146","volume":"11","author":"J Handl","year":"2007","unstructured":"Handl J, Knowles J (2007) An evolutionary approach to multiobjective clustering. IEEE Trans Evol Comput 11(1):56\u201376","journal-title":"IEEE Trans Evol Comput"},{"issue":"1","key":"41_CR11","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s10115-009-0204-4","volume":"23","author":"S Saha","year":"2010","unstructured":"Saha S, Bandyopadhyay S (2010) A new multiobjective clustering technique based on the concepts of stability and symmetry. Knowl Inf Syst (KAIS) 23(1):1\u201327","journal-title":"Knowl Inf Syst (KAIS)"},{"issue":"3","key":"41_CR12","doi-asserted-by":"crossref","first-page":"738","DOI":"10.1016\/j.patcog.2009.07.004","volume":"43","author":"S Saha","year":"2010","unstructured":"Saha S, Bandyopadhyay S (2010) A symmetry based multiobjective clustering technique for automatic evolution of clusters. Pattern Recognit 43(3):738\u2013751","journal-title":"Pattern Recognit"},{"issue":"15","key":"41_CR13","doi-asserted-by":"crossref","first-page":"1392","DOI":"10.1016\/j.patrec.2009.07.015","volume":"30","author":"S Saha","year":"2009","unstructured":"Saha S, Bandyopadhyay S (2009) A new multiobjective simulated annealing based clustering technique using symmetry. Pattern Recognit Lett 30(15):1392\u20131403","journal-title":"Pattern Recognit Lett"},{"issue":"2","key":"41_CR14","doi-asserted-by":"crossref","first-page":"166","DOI":"10.1109\/LGRS.2008.915595","volume":"5","author":"S Saha","year":"2008","unstructured":"Saha S, Bandyopadhyay S (2008) Application of a new symmetry based cluster validity index for satellite image segmentation. IEEE Geosci Remote Sens Lett 5(2):166\u2013170","journal-title":"IEEE Geosci Remote Sens Lett"},{"key":"41_CR15","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1162\/106365600568158","volume":"2","author":"DV Veldhuizen","year":"2000","unstructured":"Veldhuizen DV, Lamont G (2000) Multiobjective evolutionary algorithms: analyzing the state-of-the-art. Evol Comput 2:125\u2013147","journal-title":"Evol Comput"},{"issue":"2","key":"41_CR16","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1109\/4235.996017","volume":"6","author":"K Deb","year":"2002","unstructured":"Deb K, Pratap A, Agarwal S, Meyarivan T (2002) A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans Evol Comput 6(2):182\u2013197","journal-title":"IEEE Trans Evol Comput"},{"issue":"6","key":"41_CR17","doi-asserted-by":"crossref","first-page":"674","DOI":"10.1109\/34.927466","volume":"23","author":"MC Su","year":"2001","unstructured":"Su MC, Chou CH (2001) A modified version of the K-means algorithm with a distance based on cluster symmetry. IEEE Trans Pattern Anal Mach Intell 23(6):674\u2013680","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"3","key":"41_CR18","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1016\/j.patcog.2003.06.005","volume":"37","author":"MK Pakhira","year":"2004","unstructured":"Pakhira MK, Maulik U, Bandyopadhyay S (2004) Validity index for crisp and fuzzy clusters. Pattern Recognit 37(3):487\u2013501","journal-title":"Pattern Recognit"},{"key":"41_CR19","unstructured":"http:\/\/www.ics.uci.edu\/\u223cmlearn\/MLRepository.html"},{"key":"41_CR20","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1111\/j.1469-1809.1936.tb02137.x","volume":"3","author":"RA Fisher","year":"1936","unstructured":"Fisher RA (1936) The use of multiple measurements in taxonomic problems. Ann Eugen 3:179\u2013188","journal-title":"Ann Eugen"},{"issue":"9","key":"41_CR21","doi-asserted-by":"crossref","first-page":"1455","DOI":"10.1016\/S0031-3203(99)00137-5","volume":"33","author":"U Maulik","year":"2000","unstructured":"Maulik U, Bandyopadhyay S (2000) Genetic algorithm based clustering technique. Pattern Recognit 33(9):1455\u20131465","journal-title":"Pattern Recognit"},{"key":"41_CR22","doi-asserted-by":"crossref","DOI":"10.1201\/9781420057492.ch10","volume-title":"Cluster analysis","author":"BS Everitt","year":"2001","unstructured":"Everitt BS, Landau S, Leese M (2001) Cluster analysis. London, Arnold"},{"key":"41_CR23","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-88163-3","volume-title":"Self-organization and associative memory","author":"T Kohonen","year":"1989","unstructured":"Kohonen T (1989) Self-organization and associative memory 3rd edn. Springer, New York, Berlin","edition":"3"},{"key":"41_CR24","unstructured":"Bradley PS, Fayyad UM, Reina C (1998) Scaling EM (expectation maximization) clustering to large databases. Technical report, Microsoft Research Center"},{"key":"41_CR25","unstructured":"Chou CH, Su MC, Lai E (2002) Symmetry as a new measure for cluster validity. In: 2nd WSEAS international conference on scientific computation and soft computing, Crete, Greece, 209\u2013213"},{"issue":"4","key":"41_CR26","doi-asserted-by":"crossref","first-page":"656","DOI":"10.1109\/21.286385","volume":"24","author":"M Srinivas","year":"1994","unstructured":"Srinivas M, Patnaik LM (1994) Adaptive probabilities of crossover and mutation in genetic algorithms. IEEE Trans Syst, Man Cybernat 24(4):656\u2013667","journal-title":"IEEE Trans Syst, Man Cybernat"},{"key":"41_CR27","volume-title":"Mathematical taxonomy","author":"N Jardine","year":"1971","unstructured":"Jardine N, Sibson R (1971) Mathematical taxonomy. Wiley, New York"},{"key":"41_CR28","volume-title":"Introduction to the statistical analysis of data","author":"TW Anderson","year":"1978","unstructured":"Anderson TW, Scolve SL (1978) Introduction to the statistical analysis of data. Houghton Mifflin, Bostan"},{"key":"41_CR29","unstructured":"http:\/\/www.dbkgroup.org\/handl\/mock\/"},{"key":"41_CR30","doi-asserted-by":"crossref","first-page":"411","DOI":"10.1111\/1467-9868.00293","volume":"63","author":"R Tibshirani","year":"2001","unstructured":"Tibshirani R, Walther G, Hastie T (2001) Estimating the number of clusters via the gap statistics. J R Stat Soc 63:411\u2013423","journal-title":"J R Stat Soc"}],"container-title":["Evolutionary Intelligence"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s12065-010-0041-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s12065-010-0041-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s12065-010-0041-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T23:33:26Z","timestamp":1559432006000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s12065-010-0041-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,8,1]]},"references-count":30,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2010,12]]}},"alternative-id":["41"],"URL":"https:\/\/doi.org\/10.1007\/s12065-010-0041-0","relation":{},"ISSN":["1864-5909","1864-5917"],"issn-type":[{"value":"1864-5909","type":"print"},{"value":"1864-5917","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,8,1]]}}}