{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,19]],"date-time":"2026-02-19T13:51:08Z","timestamp":1771509068158,"version":"3.50.1"},"reference-count":57,"publisher":"IEEE","license":[{"start":{"date-parts":[[2021,7,12]],"date-time":"2021-07-12T00:00:00Z","timestamp":1626048000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2021,7,12]],"date-time":"2021-07-12T00:00:00Z","timestamp":1626048000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2021,7,12]],"date-time":"2021-07-12T00:00:00Z","timestamp":1626048000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021,7,12]]},"DOI":"10.1109\/iisa52424.2021.9555497","type":"proceedings-article","created":{"date-parts":[[2021,10,10]],"date-time":"2021-10-10T23:35:02Z","timestamp":1633908902000},"page":"1-8","source":"Crossref","is-referenced-by-count":4,"title":["A comparative study of validity indices on estimating the optimal number of clusters"],"prefix":"10.1109","author":[{"given":"Aikaterini","family":"Karanikola","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Charalampos M.","family":"Liapis","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sotiris","family":"Kotsiantis","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref39","first-page":"115","article-title":"A Criterion for Determining the Number of Groups in a Classification","volume":"10","author":"ratkowsky","year":"1978","journal-title":"Australian Computer Journal"},{"key":"ref38","article-title":"Clustering Algorithms","author":"hartigan","year":"1975","journal-title":"John Wiley & Sons"},{"key":"ref33","article-title":"Cluster Analysis","author":"beale","year":"1969","journal-title":"Scientific Control Systems"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1037\/0033-2909.83.6.1072"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.2307\/2286028"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1080\/03610917408548446"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.2307\/2258571"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.1979.4766909"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1007\/BF02293907"},{"key":"ref34","author":"sarle","year":"1983","journal-title":"SAS Technical Report A-108 Cubic Clustering Criterion"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1177\/001316446602600402"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1093\/comjnl\/20.4.364"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.2307\/2528417"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-45372-5_26"},{"key":"ref1","doi-asserted-by":"crossref","DOI":"10.1002\/9780470316801","author":"kaufman","year":"1990","journal-title":"Finding Groups in Data An Introduction to Cluster Analysis"},{"key":"ref20","first-page":"281","article-title":"Some Methods for Classification and Analysis of MultiVariate Observations","volume":"1","author":"macqueen","year":"1967","journal-title":"Proc of the Fifth Berkeley Symposium on Mathematical Statistics and Probability"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1963.10500845"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.2307\/2346830"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.2307\/2346439"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.4064\/cm-2-3-4-282-285"},{"key":"ref26","first-page":"1","article-title":"A Method of Establishing Groups of Equal Amplitude in Plant Sociology Based on Similarity of Species Content and Its Application to Analyses of the Vegetation on Danish Commons","volume":"5","author":"sorensen","year":"1948","journal-title":"Biologiske Skrifter Kongelige Danske Videnskabernes Selskab"},{"key":"ref25","first-page":"1409","article-title":"A statistical method for evaluating systematic relationships","volume":"38","author":"sokal","year":"1958","journal-title":"University of Kansas Science Bulletin"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1080\/01969727408546059"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1007\/BF01908075"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1142\/S0218001411008683"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4899-7488-4_293"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1961.10482090"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.2307\/2279372"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1109\/ICDM.2001.989517"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1145\/601858.601862"},{"key":"ref10","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1016\/j.eswa.2019.01.074","article-title":"Estimating the number of clusters in a dataset via consensus clustering","volume":"125","author":"\u00fcnl\u00fc","year":"2019","journal-title":"Expert Systems with Applications"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.3390\/e19090452"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.2307\/2529003"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.3390\/a10030105"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/j.patcog.2011.12.017"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2017.02.010"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/s41019-019-0091-y"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2020.105682"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.3390\/j2020016"},{"key":"ref18","author":"dua","year":"2017","journal-title":"UCI Machine Learning Repository"},{"key":"ref19","first-page":"2825","article-title":"Scikit-learn: Machine learning in Python","volume":"12","author":"pedregosa","year":"2011","journal-title":"Journal of Machine Learning Research"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.18637\/jss.v061.i06"},{"key":"ref3","author":"theodoridis","year":"2009","journal-title":"Pattern Recognition"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611972795.63"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1023\/A:1012801612483"},{"key":"ref8","first-page":"27","article-title":"Internal versus external cluster validation indexes","volume":"5","author":"rend\u00f3n","year":"2011","journal-title":"International Journal of Computers and Communications"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1002\/sam.10080"},{"key":"ref49","author":"lebart","year":"2004","journal-title":"Statistique Exploratoire Multidimensionnelle"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/ICDM.2010.35"},{"key":"ref46","first-page":"456","article-title":"CLUSTISZ: A Program to Test for The Quality of Clustering of a Set of Objects","volume":"12","author":"mcclain","year":"1975","journal-title":"Journal of Marketing Research"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.2307\/2283767"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1016\/0377-0427(87)90125-7"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.2307\/2531893"},{"key":"ref42","author":"ball","year":"1965","journal-title":"ISODATA A novel method of data analysis and pattern classification"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.2307\/2528592"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/T-C.1970.222799"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1007\/BF02294245"}],"event":{"name":"2021 12th International Conference on Information, Intelligence, Systems & Applications (IISA)","location":"Chania Crete, Greece","start":{"date-parts":[[2021,7,12]]},"end":{"date-parts":[[2021,7,14]]}},"container-title":["2021 12th International Conference on Information, Intelligence, Systems &amp; Applications (IISA)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/9555494\/9555495\/09555497.pdf?arnumber=9555497","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,10]],"date-time":"2023-11-10T20:16:03Z","timestamp":1699647363000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9555497\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,7,12]]},"references-count":57,"URL":"https:\/\/doi.org\/10.1109\/iisa52424.2021.9555497","relation":{},"subject":[],"published":{"date-parts":[[2021,7,12]]}}}