{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:44:31Z","timestamp":1777704271792,"version":"3.51.4"},"reference-count":23,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2018,8,7]],"date-time":"2018-08-07T00:00:00Z","timestamp":1533600000000},"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":[[2018,10]]},"abstract":"<jats:p>\n                    A fuzzy graph is a representation tool for many real networks. But, due to some restriction on edges, fuzzy graphs are limited to represent for some networks. In this study, generalized fuzzy graphs and generalized directed fuzzy graphs are discussed to avoid such restrictions. A pipeline network is expressed as a generalized directed fuzzy graph. In the pipeline network, the generalized membership values of edges and vertices are determined by the capacity of the pipelines. Also, fuzzy\n                    <jats:italic>r<\/jats:italic>\n                    -cuts and fuzzy (\n                    <jats:italic>r<\/jats:italic>\n                    <jats:sub>1<\/jats:sub>\n                    ,\n                    <jats:italic>r<\/jats:italic>\n                    <jats:sub>2<\/jats:sub>\n                    , \u2026,\n                    <jats:italic>r<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>n<\/jats:italic>\n                    <\/jats:sub>\n                    )-cuts in the generalized fuzzy graphs are defined.\n                  <\/jats:p>","DOI":"10.3233\/jifs-17285","type":"journal-article","created":{"date-parts":[[2018,8,10]],"date-time":"2018-08-10T10:47:49Z","timestamp":1533898069000},"page":"3405-3412","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":24,"title":["A study on generalized fuzzy graphs"],"prefix":"10.1177","volume":"35","author":[{"given":"Sovan","family":"Samanta","sequence":"first","affiliation":[{"name":"Department of Mathematics, Tamralipta Mahavidyalaya, Tamluk, 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":[[2018,8,7]]},"reference":[{"key":"e_1_3_2_2_2","article-title":"Novel applications of intuitionistic fuzzy digraphs in decision support systems, ID","volume":"2014","author":"Akram M.","year":"2015","unstructured":"AkramM., AshrafA. and SarwarM., Novel applications of intuitionistic fuzzy digraphs in decision support systems, ID, The Scientific World Journal 2014 (2015), Article 904606.","journal-title":"The Scientific World Journal"},{"key":"e_1_3_2_3_2","first-page":"531","article-title":"Bipolar fuzzy digraphs in decision support systems","volume":"27","author":"Akram M.","year":"2016","unstructured":"AkramM., AlshehriN., DavvazB. and AshrafA., Bipolar fuzzy digraphs in decision support systems, J Multiple-Valued Logic and Soft Computing 27 (2016), 531\u2013551.","journal-title":"J Multiple-Valued Logic and Soft Computing"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2004.60"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/34.969114"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-152082"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-162114"},{"key":"e_1_3_2_8_2","unstructured":"KauffmanA. 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