{"id":"https://openalex.org/W2884104240","doi":"https://doi.org/10.3233/jifs-17322","title":"Generalized fuzzy Euler graphs and generalized fuzzy Hamiltonian graphs","display_name":"Generalized fuzzy Euler graphs and generalized fuzzy Hamiltonian graphs","publication_year":2018,"publication_date":"2018-07-26","ids":{"openalex":"https://openalex.org/W2884104240","doi":"https://doi.org/10.3233/jifs-17322","mag":"2884104240"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-17322","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-17322","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088135807","display_name":"Sovan Samanta","orcid":"https://orcid.org/0000-0003-3200-8990"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sovan Samanta","raw_affiliation_strings":["Department of Mathematics, Tamralipta Mahavidyalaya, West Bengal, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tamralipta Mahavidyalaya, West Bengal, India","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068681964","display_name":"Biswajit Sarkar","orcid":"https://orcid.org/0000-0002-6583-8416"},"institutions":[{"id":"https://openalex.org/I4575257","display_name":"Hanyang University","ror":"https://ror.org/046865y68","country_code":"KR","type":"education","lineage":["https://openalex.org/I4575257"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Biswajit Sarkar","raw_affiliation_strings":["Department of Industrial and Management Engineering, Hanyang University, Ansan Gyeonggi-do, Korea"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Management Engineering, Hanyang University, Ansan Gyeonggi-do, Korea","institution_ids":["https://openalex.org/I4575257"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5068681964"],"corresponding_institution_ids":["https://openalex.org/I4575257"],"apc_list":null,"apc_paid":null,"fwci":2.3292,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.89150114,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"35","issue":"3","first_page":"3413","last_page":"3419"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9812999963760376,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hamiltonian-path-problem","display_name":"Hamiltonian path problem","score":0.6701077222824097},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.6274374723434448},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.6010489463806152},{"id":"https://openalex.org/keywords/eulerian-path","display_name":"Eulerian path","score":0.5115255117416382},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5109905004501343},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.5053904056549072},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.4989614486694336},{"id":"https://openalex.org/keywords/hamiltonian-path","display_name":"Hamiltonian path","score":0.4966755509376526},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.47498244047164917},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4418136477470398},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4296301007270813},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3584015369415283},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3367256224155426},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.2878608703613281},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.18172970414161682},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.1731969714164734},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08753091096878052},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.07156580686569214}],"concepts":[{"id":"https://openalex.org/C104737047","wikidata":"https://www.wikidata.org/wiki/Q987652","display_name":"Hamiltonian path problem","level":4,"score":0.6701077222824097},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.6274374723434448},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.6010489463806152},{"id":"https://openalex.org/C43058520","wikidata":"https://www.wikidata.org/wiki/Q624580","display_name":"Eulerian path","level":3,"score":0.5115255117416382},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5109905004501343},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.5053904056549072},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4989614486694336},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.4966755509376526},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.47498244047164917},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4418136477470398},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4296301007270813},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3584015369415283},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3367256224155426},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.2878608703613281},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.18172970414161682},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.1731969714164734},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08753091096878052},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.07156580686569214}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-17322","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-17322","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1496156369","https://openalex.org/W1934277439","https://openalex.org/W1966463325","https://openalex.org/W1971367602","https://openalex.org/W1980886530","https://openalex.org/W2006711703","https://openalex.org/W2050638287","https://openalex.org/W2090187739","https://openalex.org/W2093577684","https://openalex.org/W2111164919","https://openalex.org/W2125039351","https://openalex.org/W2286348091","https://openalex.org/W2435300465","https://openalex.org/W2555760342","https://openalex.org/W2604958348","https://openalex.org/W7062030810"],"related_works":["https://openalex.org/W2157783000","https://openalex.org/W4287117052","https://openalex.org/W4206705200","https://openalex.org/W2963009577","https://openalex.org/W2788975631","https://openalex.org/W3176308333","https://openalex.org/W2903402681","https://openalex.org/W2124568589","https://openalex.org/W2061237693","https://openalex.org/W2028363955"],"abstract_inverted_index":{"Graph":[0],"theory":[1],"includes":[2],"two":[3],"unavoidable":[4],"graphs,":[5],"namely":[6],"Euler":[7,17,56],"graphs":[8,18,24,42,48,57,61],"and":[9,20,58,74,91],"Hamiltonian":[10,23,60,75],"graphs.":[11],"In":[12,79],"this":[13],"study,":[14],"generalized":[15,21],"fuzzy":[16,22],"(GFEGs)":[19],"(GFHGs)":[25],"are":[26,49,62,66],"defined":[27],"to":[28,68],"express":[29],"uncertain":[30],"system":[31],"like":[32],"routes,":[33],"networks.":[34],"Here,":[35],"even":[36],"degrees":[37],"of":[38,41,54,83,98],"all":[39],"vertices":[40],"do":[43],"not":[44],"assure":[45],"that":[46],"the":[47],"GFEG.":[50],"Similarly,":[51],"other":[52],"properties":[53],"crisp":[55,59],"tested.":[63],"Two":[64],"algorithms":[65],"prepared":[67],"find":[69],"Eulerian":[70],"circuit":[71,76],"in":[72,77],"GFEGs":[73],"GFHGs.":[78],"modern":[80],"life,":[81],"planning":[82,97],"efficient":[84],"routes":[85,99],"is":[86,100],"very":[87],"important":[88],"for":[89],"business":[90],"industry":[92],"purposes.":[93],"An":[94],"application":[95],"on":[96],"described.":[101]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":17},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
