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Also, we introduce a new concept of planarity value which satisfies the picture fuzzy criteria. An algorithm for testing the planarity of a picture fuzzy graph is also designed. Also, we provide a flowchart of the corresponding algorithm. Besides this, we propose an application for ranking the essentiality of flyover or underpass in street junctions and select the most essential street junctions where flyover or underpass is needed in a smart city. <\/jats:p>","DOI":"10.1142\/s1752890923500095","type":"journal-article","created":{"date-parts":[[2023,10,6]],"date-time":"2023-10-06T03:37:41Z","timestamp":1696563461000},"source":"Crossref","is-referenced-by-count":9,"title":["A Comprehensive Study of Picture Fuzzy Planar Graphs with Real-World Applications"],"prefix":"10.1142","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7398-9548","authenticated-orcid":false,"given":"Biswajit","family":"Bera","sequence":"first","affiliation":[{"name":"Department of Mathematics, Kabi Jagadram Roy Government General Degree College, Mejia, Bankura 722143, India"},{"name":"Department of Mathematics, Sidho-Kanho-Birsha University, Purulia 723104, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7313-6107","authenticated-orcid":false,"given":"Sk","family":"Amanathulla","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Raghunathpur College, Purulia 723133, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5455-5173","authenticated-orcid":false,"given":"Sanat Kumar","family":"Mahato","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Sidho-Kanho-Birsha University, Purulia 723104, India"}]}],"member":"219","published-online":{"date-parts":[[2023,12,7]]},"reference":[{"key":"S1752890923500095BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"S1752890923500095BIB002","volume-title":"Fuzzy Logic in Geology","author":"Demicco R. 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