{"id":"https://openalex.org/W2901511275","doi":"https://doi.org/10.3233/jifs-181488","title":"Product of interval-valued fuzzy graphs and degree","display_name":"Product of interval-valued fuzzy graphs and degree","publication_year":2018,"publication_date":"2018-11-12","ids":{"openalex":"https://openalex.org/W2901511275","doi":"https://doi.org/10.3233/jifs-181488","mag":"2901511275"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-181488","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-181488","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 & 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/A5013418474","display_name":"Hossein Rashmanlou","orcid":"https://orcid.org/0000-0001-8717-9530"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hossein Rashmanlou","raw_affiliation_strings":["Department of Computer Science, University College of Adib, Sari, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University College of Adib, Sari, Iran","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039205000","display_name":"Madhumangal Pal","orcid":"https://orcid.org/0000-0002-6709-836X"},"institutions":[{"id":"https://openalex.org/I41549804","display_name":"Vidyasagar University","ror":"https://ror.org/027jsza11","country_code":"IN","type":"education","lineage":["https://openalex.org/I41549804"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Madhumangal Pal","raw_affiliation_strings":["Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India","institution_ids":["https://openalex.org/I41549804"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072356626","display_name":"R. A. Borzooei","orcid":"https://orcid.org/0000-0001-7538-7885"},"institutions":[{"id":"https://openalex.org/I48379061","display_name":"Shahid Beheshti University","ror":"https://ror.org/0091vmj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I48379061"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Rajab Ali Borzooei","raw_affiliation_strings":["Department of Mathematics, Shahid Beheshti University, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shahid Beheshti University, Tehran, Iran","institution_ids":["https://openalex.org/I48379061"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035487031","display_name":"Farshid Mofidnakhaei","orcid":null},"institutions":[{"id":"https://openalex.org/I4210086811","display_name":"Islamic Azad University Sari Branch","ror":"https://ror.org/0032wgp28","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210086811"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"F. Mofidnakhaei","raw_affiliation_strings":["Department of Physics, Sari Branch, Islamic Azad University, Sari, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Sari Branch, Islamic Azad University, Sari, Iran","institution_ids":["https://openalex.org/I4210086811"]}]},{"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 & Management Engineering, Hanyang University, Erica Campus, Ansan, South Korea","Department of Industrial & Management Engineering, Hanyang University, Erica Campus, Ansan, South Korea"],"affiliations":[{"raw_affiliation_string":"Department of Industrial & Management Engineering, Hanyang University, Erica Campus, Ansan, South Korea","institution_ids":["https://openalex.org/I4575257"]},{"raw_affiliation_string":"Department of Industrial & Management Engineering, Hanyang University, Erica Campus, Ansan, South Korea","institution_ids":["https://openalex.org/I4575257"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5068681964"],"corresponding_institution_ids":["https://openalex.org/I4575257"],"apc_list":null,"apc_paid":null,"fwci":2.2007,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.88837832,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"35","issue":"6","first_page":"6443","last_page":"6451"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9993000030517578,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9993000030517578,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9945999979972839,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9941999912261963,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cartesian-product","display_name":"Cartesian product","score":0.6900420188903809},{"id":"https://openalex.org/keywords/graph-product","display_name":"Graph product","score":0.5633233189582825},{"id":"https://openalex.org/keywords/interval-graph","display_name":"Interval graph","score":0.5578408241271973},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.5168817043304443},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.5145544409751892},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4960533082485199},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48777347803115845},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.48426148295402527},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4442407786846161},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.44135791063308716},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.44018277525901794},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4338929057121277},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.42736077308654785},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.35284656286239624},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.31234318017959595},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.3005761504173279},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.25290536880493164},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20590633153915405},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12875208258628845},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.1272093653678894}],"concepts":[{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.6900420188903809},{"id":"https://openalex.org/C68103157","wikidata":"https://www.wikidata.org/wiki/Q569347","display_name":"Graph product","level":5,"score":0.5633233189582825},{"id":"https://openalex.org/C67810366","wikidata":"https://www.wikidata.org/wiki/Q835942","display_name":"Interval graph","level":5,"score":0.5578408241271973},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.5168817043304443},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.5145544409751892},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4960533082485199},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48777347803115845},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.48426148295402527},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4442407786846161},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.44135791063308716},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.44018277525901794},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4338929057121277},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.42736077308654785},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.35284656286239624},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.31234318017959595},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.3005761504173279},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.25290536880493164},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20590633153915405},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12875208258628845},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.1272093653678894}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/jifs-181488","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-181488","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 & Fuzzy Systems","raw_type":"journal-article"},{"id":"pmh:oai:repository.hanyang.ac.kr:20.500.11754/81448","is_oa":false,"landing_page_url":"https://content.iospress.com/articles/journal-of-intelligent-and-fuzzy-systems/ifs181488","pdf_url":null,"source":{"id":"https://openalex.org/S4306401328","display_name":"The Royal Society of Chemistry\u2019s Journals, Books and Databases (The Royal Society of Chemistry)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2751430930","host_organization_name":"Royal Society of Chemistry","host_organization_lineage":["https://openalex.org/I2751430930"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W193418062","https://openalex.org/W1496156369","https://openalex.org/W1531141258","https://openalex.org/W1990733953","https://openalex.org/W2044187495","https://openalex.org/W2050147082","https://openalex.org/W2070748818","https://openalex.org/W2075832447","https://openalex.org/W2080638416","https://openalex.org/W2111164919","https://openalex.org/W2125039351","https://openalex.org/W2157041604","https://openalex.org/W2163087047","https://openalex.org/W2199650320","https://openalex.org/W2295236145","https://openalex.org/W2304896639","https://openalex.org/W2318867906","https://openalex.org/W2330293137","https://openalex.org/W2337721806","https://openalex.org/W2342014178","https://openalex.org/W2403756035","https://openalex.org/W2549743186","https://openalex.org/W2560009194","https://openalex.org/W4211007335","https://openalex.org/W4245152641","https://openalex.org/W4293637854","https://openalex.org/W6638336403","https://openalex.org/W6683432029","https://openalex.org/W6703816463","https://openalex.org/W6730182218"],"related_works":["https://openalex.org/W2963009577","https://openalex.org/W2788975631","https://openalex.org/W2903402681","https://openalex.org/W4220852510","https://openalex.org/W2028363955","https://openalex.org/W2157783000","https://openalex.org/W4287749642","https://openalex.org/W3168576739","https://openalex.org/W3038621866","https://openalex.org/W4206705200"],"abstract_inverted_index":{"Theoretical":[0],"concepts":[1],"of":[2,15,80,106,147,159],"graphs":[3,32,40,65,86,95,151],"are":[4,33,88,113],"highly":[5,114],"utilized":[6,115],"by":[7,116],"computer":[8,16,117],"science":[9,17],"applications.":[10],"Especially":[11],"in":[12,50,83],"research":[13],"areas":[14],"such":[18],"as":[19,144],"data":[20],"mining,":[21],"image":[22,25],"segmentation,":[23],"clustering,":[24],"capturing":[26],"and":[27,36,71,103,123,152],"networking.":[28],"The":[29],"interval-valued":[30,63,84,93,108,141,149],"fuzzy":[31,39,64,85,94,109,142,150],"more":[34],"flexible":[35],"compatible":[37],"than":[38],"due":[41],"to":[42,128,138,153],"the":[43,78,97,129,160],"fact":[44],"that":[45],"they":[46],"have":[47],"many":[48],"applications":[49],"networks.":[51],"In":[52,126],"this":[53],"paper,":[54],"at":[55],"first":[56],"we":[57,75],"define":[58],"three":[59],"new":[60],"operations":[61,98,112,131],"on":[62],"namely":[66],"strong":[67,104],"product,":[68,100],"tensor":[69,102],"product":[70,105],"lexicographic":[72],"product.":[73],"Likewise,":[74],"study":[76,139],"about":[77],"degree":[79],"a":[81,145],"vertex":[82],"which":[87],"obtained":[89],"from":[90,157],"two":[91,107],"given":[92],"using":[96],"Cartesian":[99],"composition,":[101],"graphs.":[110],"These":[111],"science,":[118],"geometry,":[119],"algebra,":[120],"number":[121],"theory":[122],"operation":[124],"research.":[125],"addition":[127],"existing":[130],"these":[132],"properties":[133,156],"will":[134],"also":[135],"be":[136],"helpful":[137],"large":[140],"graph":[143],"combination":[146],"small,":[148],"derive":[154],"its":[155],"those":[158],"smaller":[161],"ones.":[162]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2018-11-29T00:00:00"}