{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:29:30Z","timestamp":1777703370074,"version":"3.51.4"},"reference-count":14,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[2019,6,19]],"date-time":"2019-06-19T00:00:00Z","timestamp":1560902400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2019,7,9]]},"abstract":"<jats:p>\u00a0Xu (2017) published a paper in Journal of Intelligent and Fuzzy Systems in which he constructs a new distance measure that not only satisfies the axiom of intuitionistic fuzzy sets, but also fulfills the axiom for traditional distance. However, several questionable results arise in Xu (2017). Thus, the purpose of this paper is threefold. First, his proof is improved. Second, his criticism for two previously published distance measures are amended. Third, it is shown that in his numerical examples, there are several poorly-founded discussions. The refinement will help readers understand Xu (2017) and then apply his new distance measure to pattern recognition problems and medical diagnosis problems.<\/jats:p>","DOI":"10.3233\/jifs-181003","type":"journal-article","created":{"date-parts":[[2019,6,21]],"date-time":"2019-06-21T11:48:17Z","timestamp":1561117697000},"page":"657-667","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["Extension and revisions for Xu\u2019s proposed distance measure"],"prefix":"10.1177","volume":"37","author":[{"given":"Chun-Hsiao","family":"Chu","sequence":"first","affiliation":[{"name":"Department of Tourism, Aletheia University, Zhenli St., Danshui Dist., New Taipei City, Taiwan (R.O.C.)"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Scott Shu-Cheng","family":"Lin","sequence":"additional","affiliation":[{"name":"Department of Hotel Management, Lee-Ming Institute of Technology, Tai-Lin Rd., Taishan Dist., New Taipei City, Taiwan (R.O.C.)"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peterson","family":"Julian","sequence":"additional","affiliation":[{"name":"Department of Traffic Science, Central Police University, Shujen Rd., Takang Vil., Kueishan District, Taoyuan City, Taiwan (R.O.C.)"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2019,6,19]]},"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":"10.1016\/S0165-0114(86)80034-3"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-17276"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-8655(01)00110-6"},{"key":"e_1_3_2_6_2","first-page":"2063","article-title":"Distance measure between intuitionistic fuzzy sets","volume":"26","author":"Wang W.","year":"2005","unstructured":"WangW. and XinX., Distance measure between intuitionistic fuzzy sets, Lett 26 (2005), 2063\u20132069.","journal-title":"Lett"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.patrec.2013.05.015"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.patrec.2006.07.009"},{"key":"e_1_3_2_9_2","first-page":"396","article-title":"A novel distance measure of intuitionistic fuzzy sets and its application to pattern recognition problems","volume":"27","author":"Hatzimichailidis A.G.","year":"2012","unstructured":"HatzimichailidisA.G., PapakostasG.A. and KaburlasosV.G., A novel distance measure of intuitionistic fuzzy sets and its application to pattern recognition problems, Syst 27 (2012), 396\u2013409.","journal-title":"Syst"},{"key":"e_1_3_2_10_2","first-page":"376","article-title":"On the dengfeng'lcchuntian similarity measure and its application to pattern recognition","volume":"24","author":"Mitchell H.B.","year":"2003","unstructured":"MitchellH.B., On the dengfeng'lcchuntian similarity measure and its application to pattern recognition, Recogn Lett 24 (2003), 376\u2013378.","journal-title":"Recogn Lett"},{"key":"e_1_3_2_11_2","first-page":"1603","article-title":"Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance","volume":"25","author":"Hung W.L.","year":"2004","unstructured":"HungW.L. and YangM.S., Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance, Lett 25 (2004), 1603\u20131611.","journal-title":"Lett"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2007.11.006"},{"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\/j.eswa.2012.01.199"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1587\/transinf.E93.D.3059"}],"container-title":["Journal of Intelligent &amp; 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