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In this paper, we define the discrete interval\u2010valued capacities, a measure of the entropy of a discrete interval\u2010valued capacity, and, Choquet integral with respect to a discrete interval\u2010valued capacity. In particular, we discuss the Choquet integral as an interval\u2010valued aggregation operator and discuss an application of them.<\/jats:p>","DOI":"10.1155\/2012\/154670","type":"journal-article","created":{"date-parts":[[2012,2,20]],"date-time":"2012-02-20T21:01:00Z","timestamp":1329771660000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Note on the Choquet Integral as an Interval\u2010Valued Aggregation Operators and Their Applications"],"prefix":"10.1155","volume":"2012","author":[{"given":"Lee-Chae","family":"Jang","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,2,20]]},"reference":[{"key":"e_1_2_7_1_2","article-title":"Theory of capacities","volume":"5","author":"Choquet G.","year":"1953","journal-title":"Annales de l\u2032Institut Fourier"},{"key":"e_1_2_7_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2006.11.011"},{"key":"e_1_2_7_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(01)00088-1"},{"key":"e_1_2_7_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(89)90194-2"},{"key":"e_1_2_7_5_2","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1948.tb01338.x"},{"key":"e_1_2_7_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2004.05.011"},{"key":"e_1_2_7_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(84)90204-X"},{"key":"e_1_2_7_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0925-5273(00)00167-5"},{"key":"e_1_2_7_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(95)00181-6"},{"key":"e_1_2_7_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(91)90213-J"},{"key":"e_1_2_7_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(65)90049-1"},{"key":"e_1_2_7_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(96)00124-8"},{"key":"e_1_2_7_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00184-5"},{"key":"e_1_2_7_14_2","doi-asserted-by":"publisher","DOI":"10.4134\/BKMS.2003.40.1.139"},{"key":"e_1_2_7_15_2","first-page":"429","article-title":"Interval-valued Choquet integrals and their apllications","volume":"16","author":"Jang L. 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