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Here, even degrees of all vertices of graphs do not assure that the graphs are GFEG. Similarly, other properties of crisp Euler graphs and crisp Hamiltonian graphs are tested. Two algorithms are prepared to find Eulerian circuit in GFEGs and Hamiltonian circuit in GFHGs. In modern life, planning of efficient routes is very important for business and industry purposes. An application on planning of routes is described.<\/jats:p>","DOI":"10.3233\/jifs-17322","type":"journal-article","created":{"date-parts":[[2018,7,27]],"date-time":"2018-07-27T19:31:49Z","timestamp":1532719909000},"page":"3413-3419","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":31,"title":["Generalized fuzzy Euler graphs and generalized fuzzy Hamiltonian graphs"],"prefix":"10.1177","volume":"35","author":[{"given":"Sovan","family":"Samanta","sequence":"first","affiliation":[{"name":"Department of Mathematics, Tamralipta Mahavidyalaya, West Bengal, India"}]},{"given":"Biswajit","family":"Sarkar","sequence":"additional","affiliation":[{"name":"Department of Industrial and Management Engineering, Hanyang University, Ansan Gyeonggi-do, Korea"}]}],"member":"179","published-online":{"date-parts":[[2018,7,26]]},"reference":[{"key":"e_1_3_2_2_2","first-page":"128","article-title":"Solutio problematis ad geometriam situs pertinentis","volume":"8","author":"Euler L.","year":"1736","unstructured":"EulerL., Solutio problematis ad geometriam situs pertinentis, Commentarii Academiae Scientiarum Imperialis Petropolitanae 8 (1736), 128\u2013140.","journal-title":"Commentarii Academiae Scientiarum Imperialis Petropolitanae"},{"key":"e_1_3_2_3_2","volume-title":"Introduction a la Theorie des Sous-emsembles Flous, et Cie Editeurs","author":"Kauffman A.","year":"1973","unstructured":"KauffmanA., Introduction a la Theorie des Sous-emsembles Flous, et Cie Editeurs, Paris: Masson, 1973."},{"key":"e_1_3_2_4_2","first-page":"77","volume-title":"Fuzzy Sets and Their Applications","author":"Rosenfeld A.","year":"1975","unstructured":"RosenfeldA., Fuzzy graphs, in: ZadehL.A., FuK.S., ShimuraM., (Eds.), Fuzzy Sets and Their Applications, Academic Press, New York, 1975, pp. 77\u201395."},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-34783-6_15"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2009.01.003"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/s12543-013-0140-6"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2014.2387875"},{"issue":"1979","key":"e_1_3_2_9_2","first-page":"1","article-title":"Completeness and regularity of generalized fuzzy graphs","volume":"5","author":"Samanta S.","year":"2016","unstructured":"SamantaS., SarkarB., ShinD. and PalM., Completeness and regularity of generalized fuzzy graphs, Springer Plus 5(1979) (2016), 1\u201314.","journal-title":"Springer Plus"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.2991\/ijcis.2017.10.1.47"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s3-2.1.69"},{"key":"e_1_3_2_12_2","first-page":"415","article-title":"Account of the icosian calculus","volume":"6","author":"Hamilton W.R.","year":"1858","unstructured":"HamiltonW.R., Account of the icosian calculus, Proceedings of the Royal Irish Academy 6 (1858), 415\u2013416.","journal-title":"Proceedings of the Royal Irish Academy"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(74)90061-6"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/0026-2714(87)90174-0"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2009.12.006"},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.11.004"},{"key":"e_1_3_2_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2011.07.037"},{"key":"e_1_3_2_18_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10462-016-9490-x"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-17322","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/JIFS-17322","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-17322","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:40:51Z","timestamp":1777455651000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/JIFS-17322"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,7,26]]},"references-count":17,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2018,10]]}},"alternative-id":["10.3233\/JIFS-17322"],"URL":"https:\/\/doi.org\/10.3233\/jifs-17322","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,7,26]]}}}