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In this paper, we propose a novel feature extraction algorithm called membership-degree preserving discriminant analysis (MPDA) based on the fisher criterion and fuzzy set theory for face recognition. In the proposed algorithm, the membership degree of each sample to particular classes is firstly calculated by the fuzzy<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>k<\/mml:mi><\/mml:mrow><\/mml:math>-nearest neighbor (FKNN) algorithm to characterize the similarity between each sample and class centers, and then the membership degree is incorporated into the definition of the between-class scatter and the within-class scatter. The feature extraction criterion via maximizing the ratio of the between-class scatter to the within-class scatter is applied. Experimental results on the ORL, Yale, and FERET face databases demonstrate the effectiveness of the proposed algorithm.<\/jats:p>","DOI":"10.1155\/2013\/275317","type":"journal-article","created":{"date-parts":[[2013,10,7]],"date-time":"2013-10-07T17:02:29Z","timestamp":1381165349000},"page":"1-7","source":"Crossref","is-referenced-by-count":0,"title":["Membership-Degree Preserving Discriminant Analysis with Applications to Face Recognition"],"prefix":"10.1155","volume":"2013","author":[{"given":"Zhangjing","family":"Yang","sequence":"first","affiliation":[{"name":"School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing 210094, China"}]},{"given":"Chuancai","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing 210094, China"}]},{"given":"Pu","family":"Huang","sequence":"additional","affiliation":[{"name":"School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing 210094, China"}]},{"given":"Jianjun","family":"Qian","sequence":"additional","affiliation":[{"name":"School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing 210094, China"}]}],"member":"311","reference":[{"issue":"1","key":"1","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1162\/jocn.1991.3.1.71","volume":"3","year":"1991","journal-title":"Journal of Cognitive Neuroscience"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1109\/34.598228"},{"issue":"2","key":"3","first-page":"201","volume":"18","year":"2013","journal-title":"Journal of Image and Graphics"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.patcog.2006.04.025"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2009.08.021"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2005.55"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2007.250598"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2007.1008"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2007.12.001"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2007.906769"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2011.06.024"},{"key":"14","first-page":"1027","volume":"8","year":"2007","journal-title":"Journal of Machine Learning Research"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1007\/s00138-011-0332-1"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2008.09.030"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2011.07.015"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2009.07.015"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/j.patcog.2005.01.018"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2007.04.023"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1007\/s00138-011-0365-5"}],"container-title":["Computational and Mathematical Methods in Medicine"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2013\/275317.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2013\/275317.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2013\/275317.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,21]],"date-time":"2017-06-21T19:16:24Z","timestamp":1498072584000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/cmmm\/2013\/275317\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":19,"alternative-id":["275317","275317"],"URL":"https:\/\/doi.org\/10.1155\/2013\/275317","relation":{},"ISSN":["1748-670X","1748-6718"],"issn-type":[{"type":"print","value":"1748-670X"},{"type":"electronic","value":"1748-6718"}],"subject":[],"published":{"date-parts":[[2013]]}}}