{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,20]],"date-time":"2026-05-20T19:26:47Z","timestamp":1779305207756,"version":"3.51.4"},"reference-count":47,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2019,4,10]],"date-time":"2019-04-10T00:00:00Z","timestamp":1554854400000},"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":[[2019,4,11]]},"abstract":"<jats:p>\n                    In this article, a new concept of intuitionistic fuzzy graph of n\n                    <jats:sup>th<\/jats:sup>\n                    type (IFGNT) is proposed as a generalization of intuitionistic fuzzy graphs (IFGs) and intuitionistic fuzzy graphs of second type (IFGST). Some light has also been shed upon the concepts of constant intuitionistic fuzzy graphs of second type (CIFGST) and constant intuitionistic fuzzy graphs of n\n                    <jats:sup>th<\/jats:sup>\n                    type (CIFGNT). Moreover, some basic definitions of and results from IFGNT have been developed, supported with examples. Besides, the advantages of proposed new concept over the existing concepts have been highlighted and a comparative study of new and existing works made. Further, an application of IFGNT has been demonstrated in social networks context.\n                  <\/jats:p>","DOI":"10.3233\/jifs-181123","type":"journal-article","created":{"date-parts":[[2019,4,12]],"date-time":"2019-04-12T10:36:24Z","timestamp":1555065384000},"page":"3923-3932","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":37,"title":["Intuitionistic fuzzy graphs of n\n                    <sup>th<\/sup>\n                    type with applications"],"prefix":"10.1177","volume":"36","author":[{"given":"Bijan","family":"Davvaz","sequence":"first","affiliation":[{"name":"Department of Mathematics, Yazd University, Yazd, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Naeem","family":"Jan","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, International Islamic University IslamabadPakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tahir","family":"Mahmood","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, International Islamic University IslamabadPakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kifayat","family":"Ullah","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, International Islamic University IslamabadPakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2019,4,10]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.2298\/FIL1201177A"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2012.06.024"},{"key":"e_1_3_2_4_2","unstructured":"AtanassovK. 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