{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,5]],"date-time":"2026-02-05T07:46:48Z","timestamp":1770277608767,"version":"3.49.0"},"reference-count":21,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[2019,1,3]],"date-time":"2019-01-03T00:00:00Z","timestamp":1546473600000},"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":[[2019,2,16]]},"abstract":"<jats:p>In this paper, we propose a new correlation coefficient between intuitionistic fuzzy sets. We then use this new result to compute some examples through which we find that it benefits from such an outcome with some well-known results in the literature. As in statistics with real variables, we refer to variance and covariance between two intuitionistic fuzzy sets. Then, we determined the formula for calculating the correlation coefficient based on the variance and covariance of the intuitionistic fuzzy set, the value of this correlation coefficient is in [\u20131,1]. Then, we develop this direction to build correlation coefficients between the interval-valued intuitionistic fuzzy sets and apply it in the pattern recognition problem. Finally, we apply this correlation coefficient in clustering problem with intuitionistic fuzzy information.<\/jats:p>","DOI":"10.3233\/jifs-181084","type":"journal-article","created":{"date-parts":[[2019,1,4]],"date-time":"2019-01-04T10:34:31Z","timestamp":1546598071000},"page":"189-198","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":56,"title":["An intuitionistic fuzzy clustering algorithm based on a new correlation coefficient with application in medical diagnosis"],"prefix":"10.1177","volume":"36","author":[{"given":"Nguyen Xuan","family":"Thao","sequence":"first","affiliation":[{"name":"Faculty of Information Technology, Vietnam National University of Agriculture, Ha Noi, Viet Nam"}]},{"given":"Mumtaz","family":"Ali","sequence":"additional","affiliation":[{"name":"University of Southern Queensland QLD, Springfield, Australia"}]},{"given":"Florentin","family":"Smarandache","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of New Mexico, Gallup, NM, USA"}]}],"member":"179","published-online":{"date-parts":[[2019,1,3]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(89)90205-4"},{"key":"e_1_3_1_4_2","doi-asserted-by":"publisher","DOI":"10.5120\/15507-4276"},{"key":"e_1_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(94)00343-6"},{"key":"e_1_3_1_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(97)00127-9"},{"key":"e_1_3_1_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(91)90031-K"},{"key":"e_1_3_1_8_2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488501000910"},{"key":"e_1_3_1_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-0255(02)00181-0"},{"key":"e_1_3_1_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2011.11.029"},{"key":"e_1_3_1_11_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-141440"},{"key":"e_1_3_1_12_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-151824"},{"key":"e_1_3_1_13_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.20004"},{"key":"e_1_3_1_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.procir.2013.06.028"},{"issue":"1","key":"e_1_3_1_15_2","first-page":"11","article-title":"Intuitionistic fuzzy sets in group decision making","volume":"2","author":"Szmidt E.","year":"1996","unstructured":"SzmidtE. and KacprzykJ., Intuitionistic fuzzy sets in group decision making, Notes on IFS 2(1) (1996), 11\u201314.","journal-title":"Notes on IFS"},{"key":"e_1_3_1_16_2","first-page":"388","article-title":"A similarity measure for intuitionistic fuzzy sets and its application in supporting medical diagnostic reasoning","volume":"3070","author":"Szmidt E.","year":"2004","unstructured":"SzmidtE. and KacprzykJ., A similarity measure for intuitionistic fuzzy sets and its application in supporting medical diagnostic reasoning, ICAISC 2004, Lecture Notes in Computer Science 3070 (2004), 388\u2013393.","journal-title":"ICAISC 2004, Lecture Notes in Computer Science"},{"key":"e_1_3_1_17_2","doi-asserted-by":"publisher","DOI":"10.1007\/11875581_2"},{"key":"e_1_3_1_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2009.11.011"},{"key":"e_1_3_1_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2008.06.008"},{"key":"e_1_3_1_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"e_1_3_1_21_2","first-page":"98","article-title":"Correlation coefficient of interval-valued intuitionistic fuzzy sets","author":"Zeng W.","year":"2011","unstructured":"ZengW. and WangJ., Correlation coefficient of interval-valued intuitionistic fuzzy sets, International Conference on Fuzzy Systems and Knowledge Discovery (FSKD), 2011, pp. 98\u2013102.","journal-title":"International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)"},{"key":"e_1_3_1_22_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-151894"}],"container-title":["Journal of Intelligent &amp; 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