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Giving an axiomatic definition for transforming intuitionistic fuzzy sets into fuzzy sets, we deduce a new conversion operator which seeks to obtain one and only one fuzzy set for each intuitionistic set. A new distance measure is defined for intuitionistic fuzzy sets, and then the corresponding measure formula for the fuzzy entropy of intuitionistic fuzzy sets is proposed. Finally, some examples are illustrated for comparison with some existing formulae.<\/jats:p>","DOI":"10.3233\/ifs-151821","type":"journal-article","created":{"date-parts":[[2016,2,9]],"date-time":"2016-02-09T10:57:52Z","timestamp":1455015472000},"page":"991-998","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["Some notes on characters of intuitionistic fuzzy sets"],"prefix":"10.1177","volume":"30","author":[{"given":"Jiguo","family":"Zhang","sequence":"first","affiliation":[{"name":"Department of Information Management, Hohai University, Changzhou, Jiangsu, China"}]},{"given":"Gaofeng","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Information Management, Hohai University, Changzhou, Jiangsu, China"}]},{"given":"Yanbing","family":"Gong","sequence":"additional","affiliation":[{"name":"Department of Information Management, Hohai University, Changzhou, Jiangsu, China"}]}],"member":"179","published-online":{"date-parts":[[2015,10,13]]},"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":"10.1016\/S0019-9958(65)90241-X"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1109\/IS.2002.1044238"},{"key":"e_1_3_2_5_2","first-page":"1037","article-title":"Using intuitionistic fuzzy sets in group decision making","volume":"31","author":"Szmidt E.","year":"2002","unstructured":"SzmidtE. and KacprzykJ., Using intuitionistic fuzzy sets in group decision making, Control and Cybernetics 31 (2002), 1037\u20131053.","journal-title":"Control and Cybernetics"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2003.11.031"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcss.2004.06.002"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2006.04.009"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2006.12.019"},{"key":"e_1_3_2_10_2","first-page":"35","volume-title":"Comptes Redus de l\u2019Academi Bulgare des Sciences","author":"Atanassov K.","year":"1988","unstructured":"AtanassovK., Two operators on intuitionistic fuzzy sets, Comptes Redus de l\u2019Academi Bulgare des Sciences, Tome, 41, 1988, pp. 35\u201338."},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(95)00313-4"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(96)84611-2"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00244-9"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00402-3"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(92)90239-Z"},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488503002375"},{"key":"e_1_3_2_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(96)00257-6"},{"key":"e_1_3_2_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0255(86)90006-X"},{"key":"e_1_3_2_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(96)84611-2"},{"key":"e_1_3_2_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.patrec.2006.07.004"},{"key":"e_1_3_2_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00191-2"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/IFS-151821","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/IFS-151821","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/IFS-151821","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:39:18Z","timestamp":1777455558000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/IFS-151821"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,10,13]]},"references-count":20,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2016,2,9]]}},"alternative-id":["10.3233\/IFS-151821"],"URL":"https:\/\/doi.org\/10.3233\/ifs-151821","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,10,13]]}}}