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This paper extends the general fuzzy set definitions to subnormal and non-convex fuzzy sets that are more precise when implementing uncertain knowledge representations by weighing fuzzy membership functions. A distance measure method for subnormal and non-convex fuzzy sets is proposed for embedded feature selection. Constructing fuzzy membership functions and extracting fuzzy rules play a critical role in fuzzy classification systems. The weighted fuzzy membership functions prevent the combinatorial explosion of fuzzy rules in multiple fuzzy rule-based systems. The proposed method was validated by a comparison with two other methods. Our proposed method demonstrated higher accuracies in training and test, with scores of 97.95% and 93.98%, respectively, compared to the other two methods.<\/jats:p>","DOI":"10.3233\/jifs-219005","type":"journal-article","created":{"date-parts":[[2021,6,22]],"date-time":"2021-06-22T14:16:12Z","timestamp":1624371372000},"page":"5199-5205","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["Feature selection by a distance measure method of subnormal and non-convex fuzzy sets"],"prefix":"10.1177","volume":"41","author":[{"given":"Letao","family":"Qu","sequence":"first","affiliation":[{"name":"Department of Computer Engineering, GachonUniversity, Seongnam, Republic of Korea"}]},{"given":"Bohyun","family":"Wang","sequence":"additional","affiliation":[{"name":"Department of Computer Engineering, GachonUniversity, Seongnam, Republic of Korea"}]},{"given":"Joon S.","family":"Lim","sequence":"additional","affiliation":[{"name":"Department of Computer Engineering, GachonUniversity, Seongnam, Republic of Korea"}]}],"member":"179","published-online":{"date-parts":[[2021,6,19]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1109\/21.256541"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1080\/01969727208542910"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2010.02.108"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2010.02.115"},{"key":"e_1_3_2_7_2","first-page":"1157","article-title":"An introduction to variable and feature selection","volume":"3","author":"Guyon Isabelle","year":"2003","unstructured":"GuyonIsabelle and ElisseeffAndre, An introduction to variable and feature selection, Journal of Machine Learning Research3 (2003), 1157\u20131182.","journal-title":"Journal of Machine Learning Research"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1109\/TKDE.2005.66"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1093\/bioinformatics\/btm344"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/0888-613X(87)90015-6"},{"issue":"2","key":"e_1_3_2_11_2","first-page":"37","article-title":"A feature selectionmethod based on \u2229 - fuzzy similarity measures using multiobjective genetic algorithm","volume":"3","author":"Nahook Hassan Nosrati","year":"2013","unstructured":"NahookHassan Nosrati and EftekhariMahdi, A feature selectionmethod based on \u2229 - fuzzy similarity measures using multiobjective genetic algorithm, International Journal of SoftComputing and Engineering (IJSCE)3(2) (2013), 37\u201341.","journal-title":"International Journal of SoftComputing and Engineering (IJSCE)"},{"key":"e_1_3_2_12_2","doi-asserted-by":"crossref","unstructured":"ZadehL.A. \u201cCalculus of fuzzy restrictions \u201d in Fuzzy Sets and TheirApplications to Cognitive andDecision Processes L.A. 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