{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T22:40:03Z","timestamp":1725489603353},"publisher-location":"Berlin, Heidelberg","reference-count":14,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540737285"},{"type":"electronic","value":"9783540737292"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-540-73729-2_19","type":"book-chapter","created":{"date-parts":[[2007,8,20]],"date-time":"2007-08-20T06:31:26Z","timestamp":1187591486000},"page":"193-203","source":"Crossref","is-referenced-by-count":2,"title":["Formulation of Fuzzy c-Means Clustering Using Calculus of Variations"],"prefix":"10.1007","author":[{"given":"Sadaaki","family":"Miyamoto","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"19_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-0450-1","volume-title":"Pattern Recognition with Fuzzy Objective Function Algorithms","author":"J.C. Bezdek","year":"1981","unstructured":"Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum, New York (1981)"},{"key":"19_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/b106267","volume-title":"Fuzzy Models and Algorithms for Pattern Recognition and Image Processing","author":"J.C. Bezdek","year":"1999","unstructured":"Bezdek, J.C., Keller, J., Krishnapuram, R., Pal, N.R.: Fuzzy Models and Algorithms for Pattern Recognition and Image Processing. Kluwer, Boston (1999)"},{"key":"19_CR3","doi-asserted-by":"publisher","first-page":"657","DOI":"10.1016\/0167-8655(91)90002-4","volume":"12","author":"R.N. Dave","year":"1991","unstructured":"Dave, R.N.: Characterization and detection of noise in clustering. Pattern Recognition Letters\u00a012, 657\u2013664 (1991)","journal-title":"Pattern Recognition Letters"},{"issue":"2","key":"19_CR4","doi-asserted-by":"publisher","first-page":"270","DOI":"10.1109\/91.580801","volume":"5","author":"R.N. Dav\u00e9","year":"1997","unstructured":"Dav\u00e9, R.N., Krishnapuram, R.: Robust clustering methods: a unified view. IEEE Trans. Fuzzy Syst.\u00a05(2), 270\u2013293 (1997)","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"19_CR5","doi-asserted-by":"publisher","first-page":"32","DOI":"10.1080\/01969727308546046","volume":"3","author":"J.C. Dunn","year":"1974","unstructured":"Dunn, J.C.: A fuzzy relative of the ISODATA process and its use in detecting compact well-separated clusters. J. of Cybernetics\u00a03, 32\u201357 (1974)","journal-title":"J. of Cybernetics"},{"key":"19_CR6","unstructured":"Gelfand, I.M., Fomin, S.V.: Calculus of Variations. In: Silverman, R.A. (tr.) (ed.) Prentice-Hall, Englewood Cliffs, NJ (1963)"},{"issue":"3","key":"19_CR7","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1109\/91.236552","volume":"1","author":"R.J. Hathaway","year":"1993","unstructured":"Hathaway, R.J., Bezdek, J.C.: Switching regression models and fuzzy clustering. IEEE Trans. on Fuzzy Systems\u00a01(3), 195\u2013204 (1993)","journal-title":"IEEE Trans. on Fuzzy Systems"},{"key":"19_CR8","volume-title":"Fuzzy Cluster Analysis","author":"F. H\u00f6ppner","year":"1999","unstructured":"H\u00f6ppner, F., Klawonn, F., Kruse, R., Runkler, T.: Fuzzy Cluster Analysis. Wiley, Chichester (1999)"},{"key":"19_CR9","doi-asserted-by":"crossref","first-page":"580","DOI":"10.1109\/TSMC.1985.6313426","volume":"15","author":"J.M. Keller","year":"1985","unstructured":"Keller, J.M., Gray, M.R., Givens Jr., J.A.: A fuzzy k - nearest neighbor algorithm. IEEE Trans., on Syst., Man and Cybern.\u00a015, 580\u2013585 (1985)","journal-title":"IEEE Trans., on Syst., Man and Cybern."},{"key":"19_CR10","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-97966-8","volume-title":"Self-Organizing Maps","author":"T. Kohonen","year":"1997","unstructured":"Kohonen, T.: Self-Organizing Maps, 2nd edn. Springer, Heidelberg (1997)","edition":"2"},{"issue":"2","key":"19_CR11","doi-asserted-by":"publisher","first-page":"98","DOI":"10.1109\/91.227387","volume":"1","author":"R. Krishnapuram","year":"1993","unstructured":"Krishnapuram, R., Keller, J.M.: A possibilistic approach to clustering. IEEE Trans. on Fuzzy Syst.\u00a01(2), 98\u2013110 (1993)","journal-title":"IEEE Trans. on Fuzzy Syst."},{"key":"19_CR12","unstructured":"Miyamoto, S., Mukaidono, M.: Fuzzy c-means as a regularization and maximum entropy approach. In: IFSA 1997. Proc. of the 7th International Fuzzy Systems Association World Congress, June 25-30, 1997, Prague, Czech, vol.II, pp. 86\u201392 (1997)"},{"key":"19_CR13","unstructured":"Miyamoto, S.: Introduction to Cluster Analysis: Theory and Applications of Fuzzy Clustering, Morikita-Shuppan, Tokyo (1999) (in Japanese)"},{"issue":"4","key":"19_CR14","doi-asserted-by":"publisher","first-page":"549","DOI":"10.1109\/72.238310","volume":"4","author":"N.K. Pal","year":"1993","unstructured":"Pal, N.K., Bezdek, J.C., Tsao, E.C.-K.: Generalized clustering networks and Kohonen\u2019s self-organizing scheme. IEEE Trans. on Neural Networks\u00a04(4), 549\u2013557 (1993)","journal-title":"IEEE Trans. on Neural Networks"}],"container-title":["Lecture Notes in Computer Science","Modeling Decisions for Artificial Intelligence"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-73729-2_19.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T09:57:18Z","timestamp":1619517438000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-73729-2_19"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540737285","9783540737292"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-73729-2_19","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[]}}