{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,17]],"date-time":"2025-10-17T13:10:42Z","timestamp":1760706642710},"reference-count":14,"publisher":"Elsevier BV","issue":"6-7","license":[{"start":{"date-parts":[[2000,6,1]],"date-time":"2000-06-01T00:00:00Z","timestamp":959817600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Pattern Recognition Letters"],"published-print":{"date-parts":[[2000,6]]},"DOI":"10.1016\/s0167-8655(00)00016-7","type":"journal-article","created":{"date-parts":[[2003,4,25]],"date-time":"2003-04-25T04:06:40Z","timestamp":1051243600000},"page":"511-529","source":"Crossref","is-referenced-by-count":23,"title":["A comparison of cluster validity criteria for a mixture of normal distributed data"],"prefix":"10.1016","volume":"21","author":[{"given":"Amir B.","family":"Geva","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yossef","family":"Steinberg","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shay","family":"Bruckmair","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gerry","family":"Nahum","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0167-8655(00)00016-7_BIB1","doi-asserted-by":"crossref","unstructured":"Bezdek, J.C., Castelaz, P.F., 1971. Prototype classification and feature selection with fuzzy sets. IEEE Trans. on SMC-7, pp. 87\u201392","DOI":"10.1109\/TSMC.1977.4309659"},{"key":"10.1016\/S0167-8655(00)00016-7_BIB2","doi-asserted-by":"crossref","unstructured":"Bezdek, J.C., Pal, N.R., 1998. Some new validity indexes of cluster validity. IEEE Trans. Syst. Man and Cyber. \u2013 Part b: Cyber., Vol. 28 (3)","DOI":"10.1109\/3477.678624"},{"key":"10.1016\/S0167-8655(00)00016-7_BIB3","unstructured":"Duda, R.O., Hart, P.E., 1973. Pattern Classification and Scene Analysis, Wiley Interscience, New York"},{"key":"10.1016\/S0167-8655(00)00016-7_BIB4","unstructured":"Fukuyama, Y., Sugeno, M., 1989. A new method of choosing the number of clusters for the fuzzy c-means method, In: Proc. Fifth Fuzzy Syst. Symp., pp. 247\u2013250 (in Japanese)"},{"key":"10.1016\/S0167-8655(00)00016-7_BIB5","doi-asserted-by":"crossref","unstructured":"Gath, I., Geva, A.B., 1989. Fuzzy clustering for the estimation of the parameters of the components of mixtures of normal distributions, Pattern Recognition Letters, Vol. 9 (3), Elsevier, pp. 77\u201386","DOI":"10.1016\/0167-8655(89)90040-8"},{"key":"10.1016\/S0167-8655(00)00016-7_BIB6","doi-asserted-by":"crossref","first-page":"543","DOI":"10.1007\/BF02515313","article-title":"Unsupervised clustering of evoked potentials by waveform","volume":"32","author":"Geva","year":"1994","journal-title":"Medical Biol. Engrg. Comput."},{"key":"10.1016\/S0167-8655(00)00016-7_BIB7","doi-asserted-by":"crossref","first-page":"795","DOI":"10.1214\/aos\/1176349557","article-title":"A constrained formulation of maximum likelihood estimation for normal mixture distributions","volume":"13","author":"Hathaway","year":"1985","journal-title":"Ann. Statist"},{"key":"10.1016\/S0167-8655(00)00016-7_BIB8","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1214\/aoms\/1177700150","article-title":"Asymptotically optimal test for multinomial distribution","volume":"36","author":"Hoeffding","year":"1965","journal-title":"Ann. Math. Statist."},{"key":"10.1016\/S0167-8655(00)00016-7_BIB9","doi-asserted-by":"crossref","unstructured":"Pal, N.R., Bezdek, J.C., 1995. On cluster validity for the fuzzy c-means model. IEEE Trans. Fuzzy Sys., Vol. 3 (3)","DOI":"10.1109\/91.413225"},{"key":"10.1016\/S0167-8655(00)00016-7_BIB10","doi-asserted-by":"crossref","first-page":"362","DOI":"10.1137\/0135032","article-title":"An iterative procedure for obtaining maximum likelihood estimates of the parameters for a mixture of normal distributions","volume":"35","author":"Peters","year":"1978","journal-title":"SIAM J. Appl. Math."},{"key":"10.1016\/S0167-8655(00)00016-7_BIB11","doi-asserted-by":"crossref","unstructured":"Rezaee, M.R., Lelieveldt, B.P.F., Reiber, J.H.C., 1998. A new cluster validity for the fuzzy c-mean. Pattern Recognition Letters, pp. 237\u2013246","DOI":"10.1016\/S0167-8655(97)00168-2"},{"key":"10.1016\/S0167-8655(00)00016-7_BIB12","doi-asserted-by":"crossref","unstructured":"Steinberg, Y., Zeitouni, O., 1992. On tests for normality, IEEE Trans. Inform. Theory, Vol. 38 (6)","DOI":"10.1109\/18.165450"},{"issue":"8","key":"10.1016\/S0167-8655(00)00016-7_BIB13","doi-asserted-by":"crossref","first-page":"841","DOI":"10.1109\/34.85677","article-title":"Validity measure for fuzzy clustering","volume":"3","author":"Xie","year":"1991","journal-title":"IEEE Trans. Pattern Anal. Machine Intell."},{"key":"10.1016\/S0167-8655(00)00016-7_BIB14","doi-asserted-by":"crossref","first-page":"278","DOI":"10.1109\/18.2636","article-title":"On classification with empirically observed statistics and universal data compression","volume":"34","author":"Ziv","year":"1988","journal-title":"IEEE Trans. Inform. Theory"}],"container-title":["Pattern Recognition Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167865500000167?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167865500000167?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,2,4]],"date-time":"2020-02-04T23:15:14Z","timestamp":1580858114000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0167865500000167"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,6]]},"references-count":14,"journal-issue":{"issue":"6-7","published-print":{"date-parts":[[2000,6]]}},"alternative-id":["S0167865500000167"],"URL":"https:\/\/doi.org\/10.1016\/s0167-8655(00)00016-7","relation":{},"ISSN":["0167-8655"],"issn-type":[{"value":"0167-8655","type":"print"}],"subject":[],"published":{"date-parts":[[2000,6]]}}}