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The existing researches on intuitionistic fuzzy rough sets mainly concentrate on the establishment of lower and upper approximation operators by using constructive and axiomatic approaches. Less effort has been put on the attributes reduction of databases based on intuitionistic fuzzy rough sets. The aim of this paper is to focus on attributes reduction based on intuitionistic fuzzy rough sets. After reviewing attributes reduction with traditional rough sets, some equivalent conditions to describe the relative reduction with intuitionistic fuzzy rough sets are proposed, and the structure of reduction is completely examined. Based on discernibility matrix, an algorithm to compute all the attributes reductions is also developed. At last we employ an example to illustrate the concepts of attributes reduction.<\/jats:p>","DOI":"10.3233\/ifs-151835","type":"journal-article","created":{"date-parts":[[2016,2,9]],"date-time":"2016-02-09T10:57:44Z","timestamp":1455015464000},"page":"1127-1137","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":26,"title":["Attributes reduction based on intuitionistic fuzzy rough sets"],"prefix":"10.1177","volume":"30","author":[{"given":"Zhiming","family":"Zhang","sequence":"first","affiliation":[{"name":"College of Mathematics and Information Science, Hebei University, Baoding, Hebei, China"}]}],"member":"179","published-online":{"date-parts":[[2015,11,2]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-7908-1870-3"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(93)90166-F"},{"key":"e_1_3_2_5_2","first-page":"211","article-title":"Intuitionistic fuzzy rough set","author":"Chakrabarty K.","year":"1998","unstructured":"ChakrabartyK., GedeonT. and KoczyL., Intuitionistic fuzzy rough set, Proceedings of Fourth Joint Conference on Information Sciences, 1998, pp. 211\u2013214.","journal-title":"Proceedings of Fourth Joint Conference on Information Sciences"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1111\/1468-0394.00250"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0888-613X(03)00072-0"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00235-8"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-0255(02)00181-0"},{"key":"e_1_3_2_10_2","first-page":"1","article-title":"Intuitionistic fuzzy rough sets","volume":"8","author":"Jena S.P.","year":"2002","unstructured":"JenaS.P. and GhoshS.K., Intuitionistic fuzzy rough sets, Notes on Intuitionistic Fuzzy Sets 8 (2002), 1\u201318.","journal-title":"Notes on Intuitionistic Fuzzy Sets"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(03)00021-6"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-8655(01)00110-6"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-8655(03)00111-9"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcss.2006.03.004"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01001956"},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/11785231_56"},{"key":"e_1_3_2_17_2","first-page":"101","article-title":"Rough intuitionistic fuzzy set","author":"Rizvi S.","year":"2002","unstructured":"RizviS., NaqviH.J. and NadeemD., Rough intuitionistic fuzzy set, Proceedings of the Sixth Joint Conference on Information Sciences, 2002, pp. 101\u2013104.","journal-title":"Proceedings of the Sixth Joint Conference on Information Sciences"},{"key":"e_1_3_2_18_2","first-page":"561","article-title":"Intuitionistic fuzzy rough sets and rough intuitionistic fuzzy sets","volume":"9","author":"Samanta S.K.","year":"2001","unstructured":"SamantaS.K. and MondalT.K., Intuitionistic fuzzy rough sets and rough intuitionistic fuzzy sets, Journal of Fuzzy Mathematics 9 (2001), 561\u2013582.","journal-title":"Journal of Fuzzy Mathematics"},{"key":"e_1_3_2_19_2","unstructured":"SkowronA. and RauszerC. 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