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Based on some given functions with required monotonicity and some kinds of distance measures, we propose two groups of entropies of linguistic fuzzy sets and uncertain linguistic fuzzy sets, respectively. Then, as an application of the proposed entropy measures, we put forward two algorithms for obtaining the objective weight vector of attributes in multiple attributes decision making by utilizing the entropy weight approach and the maximum entropy method. Finally, two cases of subjective evaluation of the building environment are illustrated to show the application of entropies for linguistic information in realworld.<\/jats:p>","DOI":"10.3233\/ifs-141487","type":"journal-article","created":{"date-parts":[[2015,10,6]],"date-time":"2015-10-06T12:04:56Z","timestamp":1444133096000},"page":"747-759","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":7,"title":["Entropy measures for linguistic information and its application to decision making"],"prefix":"10.1177","volume":"29","author":[{"given":"Zhifu","family":"Tao","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Anhui University, Hefei, Anhui, China"}]},{"given":"Xi","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Anhui University, Hefei, Anhui, China"},{"name":"Department of foundation, Anhui Occupational College of City Management, Hefei, Anhui, China"}]},{"given":"Huayou","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Anhui University, Hefei, Anhui, China"}]},{"given":"Jinpei","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Business, Anhui University, Hefei, Anhui, China"}]}],"member":"179","published-online":{"date-parts":[[2015,10,5]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(72)90199-4"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2013.03.034"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2006.02.006"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcss.2014.03.004"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0255(94)00109-O"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2012.09.032"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2007.07.012"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.20244"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1080\/18756891.2010.9727711"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2006.12.010"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00402-3"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2007.896353"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1109\/91.890332"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2009.11.019"},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2012.03.010"},{"key":"e_1_3_2_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2014.02.125"},{"key":"e_1_3_2_18_2","unstructured":"IshibuchiHNakashimaTNiiM2004Classification and modeling with linguistic information granules: Advanced approaches to linguistic data miningBerlinSpringer"},{"key":"e_1_3_2_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2011.03.003"},{"key":"e_1_3_2_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2009.06.007"},{"key":"e_1_3_2_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.procs.2014.05.289"},{"key":"e_1_3_2_22_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(90)90126-Q"},{"key":"e_1_3_2_23_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(99)80011-6"},{"key":"e_1_3_2_24_2","doi-asserted-by":"publisher","DOI":"10.1080\/18756891.2010.9727710"},{"key":"e_1_3_2_25_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2010.01.019"},{"key":"e_1_3_2_26_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"e_1_3_2_27_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(00)00277-0"},{"key":"e_1_3_2_28_2","doi-asserted-by":"crossref","unstructured":"L.A. 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