{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,9]],"date-time":"2026-02-09T02:05:38Z","timestamp":1770602738297,"version":"3.49.0"},"reference-count":10,"publisher":"SAGE Publications","issue":"6","license":[{"start":{"date-parts":[[2017,12,1]],"date-time":"2017-12-01T00:00:00Z","timestamp":1512086400000},"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":[[2017,12]]},"abstract":"<jats:p>The non-Archimedean normed space theory is an important research object in mathematical physics whose triangle inequality holds in a stronger form. In this note, we propose a generalized chordal distance and a non-Archimedean chordal distance for intuitionistic fuzzy sets. An illustrative example is given to calculate the constructed distances with the different parameters. And some experiments show that the new distances based on chordal distance and non-Archimedean distance are more efficient than the Euclidean-like distances in pattern recognition.<\/jats:p>","DOI":"10.3233\/jifs-17724","type":"journal-article","created":{"date-parts":[[2017,12,1]],"date-time":"2017-12-01T12:39:41Z","timestamp":1512131981000},"page":"3889-3894","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":5,"title":["Chordal distance and non-Archimedean chordal distance between Atanassov\u2019s intuitionistic fuzzy set"],"prefix":"10.1177","volume":"33","author":[{"given":"Jing","family":"Han","sequence":"first","affiliation":[{"name":"Department of Basic Teaching, Business College of Shanxi University, Taiyuan, PR China"}]},{"given":"Zhanpeng","family":"Yang","sequence":"additional","affiliation":[{"name":"Key Laboratory of Technology in Geo-spatial Information Processing and Application System,  Institute of Electronics, Chinese Academy of Sciences, Beijing, PR China"}]},{"given":"Xian","family":"Sun","sequence":"additional","affiliation":[{"name":"Key Laboratory of Technology in Geo-spatial Information Processing and Application System,  Institute of Electronics, Chinese Academy of Sciences, Beijing, PR China"}]},{"given":"Guangluan","family":"Xu","sequence":"additional","affiliation":[{"name":"Key Laboratory of Technology in Geo-spatial Information Processing and Application System,  Institute of Electronics, Chinese Academy of Sciences, Beijing, PR China"}]}],"member":"179","published-online":{"date-parts":[[2017,12]]},"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":"10.1016\/0165-0114(89)90215-7"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(94)90229-1"},{"key":"e_1_3_2_6_2","first-page":"36","article-title":"The most general form of one type of intuitionistic fuzzy modal operators","volume":"12","author":"Atanassov K.","year":"2006","unstructured":"AtanassovK., The most general form of one type of intuitionistic fuzzy modal operators, Notes on Intuitionistic Fuzzy Sets12 (2006), 36\u201338.","journal-title":"Notes on Intuitionistic Fuzzy Sets"},{"key":"e_1_3_2_7_2","first-page":"11","article-title":"Norms and metrics over intuitionistic fuzzy sets","volume":"55","author":"Atanassov K.","year":"1993","unstructured":"AtanassovK., Norms and metrics over intuitionistic fuzzy sets, Busefal55 (1993), 11\u201320.","journal-title":"Busefal"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2015.12.002"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2015.09.045"},{"key":"e_1_3_2_10_2","first-page":"697","article-title":"Direct and fixed point approaches to the stability of an AQ-functional equation in non-Archimedean normed spaces","volume":"17","author":"Xu T.Z.","year":"2014","unstructured":"XuT.Z., YangZ.P. and RassiasJ.M., Direct and fixed point approaches to the stability of an AQ-functional equation in non-Archimedean normed spaces, Journal of Computational Analysis and Applications17 (2014), 697\u2013706.","journal-title":"Journal of Computational Analysis and Applications"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00244-9"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-17724","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/JIFS-17724","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-17724","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,8]],"date-time":"2026-02-08T04:49:42Z","timestamp":1770526182000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/JIFS-17724"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,12]]},"references-count":10,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2017,12]]}},"alternative-id":["10.3233\/JIFS-17724"],"URL":"https:\/\/doi.org\/10.3233\/jifs-17724","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,12]]}}}