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The proposed measure is tested through numerical examples to ensure its robustness and reliability. Furthermore, its metric properties are validated using geometric visualization. To demonstrate its practical utility, the measure is applied to problems in pattern classification, medical diagnosis, and multi-criteria group decision-making (MCGDM). A case study related to MCGDM is presented to illustrate the applicability of the proposed method and to compare it with alternative approaches, thus validating its effectiveness.<\/jats:p>","DOI":"10.1142\/s021848852550031x","type":"journal-article","created":{"date-parts":[[2025,10,31]],"date-time":"2025-10-31T09:30:43Z","timestamp":1761903043000},"page":"1029-1055","source":"Crossref","is-referenced-by-count":2,"title":["An Intuitionistic Fuzzy Metric and its Application in Varied Decision Making Approaches"],"prefix":"10.1142","volume":"33","author":[{"given":"N.","family":"Kumar","sequence":"first","affiliation":[{"name":"Department of Mathematics, National Institute of Technology, Silchar, Assam 788010, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R.\u00a0K.","family":"Mandal","sequence":"additional","affiliation":[{"name":"Department of Mathematics, National Institute of Technology, Silchar, Assam 788010, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"Sarkar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Heramba Chandra College, Kolkata 700029, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.","family":"Mahanta","sequence":"additional","affiliation":[{"name":"Department of Mathematics, National Institute of Technology, Silchar, Assam 788010, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2025,10,31]]},"reference":[{"key":"S021848852550031XBIB001","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"S021848852550031XBIB002","doi-asserted-by":"publisher","DOI":"10.1016\/0031-3203(90)90054-O"},{"key":"S021848852550031XBIB003","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-83069-3_30"},{"key":"S021848852550031XBIB004","volume-title":"Pattern recognition with fuzzy objective function algorithms","author":"Bezdek J. 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