{"id":"https://openalex.org/W2491691835","doi":"https://doi.org/10.1186/s40064-016-2892-z","title":"A study on vague graphs","display_name":"A study on vague graphs","publication_year":2016,"publication_date":"2016-08-02","ids":{"openalex":"https://openalex.org/W2491691835","doi":"https://doi.org/10.1186/s40064-016-2892-z","mag":"2491691835","pmid":"https://pubmed.ncbi.nlm.nih.gov/27536517","pmcid":"https://www.ncbi.nlm.nih.gov/pmc/articles/4971011"},"language":"en","primary_location":{"id":"doi:10.1186/s40064-016-2892-z","doi":"https://doi.org/10.1186/s40064-016-2892-z","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s40064-016-2892-z","pdf_url":"https://springerplus.springeropen.com/track/pdf/10.1186/s40064-016-2892-z","source":{"id":"https://openalex.org/S2531072874","display_name":"SpringerPlus","issn_l":"2193-1801","issn":["2193-1801"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","poland-40","vabb-shw"],"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SpringerPlus","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://springerplus.springeropen.com/track/pdf/10.1186/s40064-016-2892-z","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013418474","display_name":"Hossein Rashmanlou","orcid":"https://orcid.org/0000-0001-8717-9530","observed_orcids":["https://orcid.org/0000-0001-8717-9530"]},"institutions":[{"id":"https://openalex.org/I110525433","display_name":"Islamic Azad University, Tehran","ror":"https://ror.org/01kzn7k21","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433"]},{"id":"https://openalex.org/I41775361","display_name":"Islamic Azad University Central Tehran Branch","ror":"https://ror.org/03a11m818","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I41775361"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Hossein Rashmanlou","raw_affiliation_strings":["Young Researchers and Elite Club, Central Branch, Islamic Azad University, Tehran, Iran","Young Researchers and Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Young Researchers and Elite Club, Central Branch, Islamic Azad University, Tehran, Iran","institution_ids":["https://openalex.org/I110525433","https://openalex.org/I41775361"]},{"raw_affiliation_string":"Young Researchers and Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran","institution_ids":["https://openalex.org/I110525433","https://openalex.org/I41775361"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088135807","display_name":"Sovan Samanta","orcid":"https://orcid.org/0000-0003-3200-8990","observed_orcids":["https://orcid.org/0000-0003-3200-8990"]},"institutions":[{"id":"https://openalex.org/I4210138251","display_name":"Indian Institute of Information Technology, Nagpur","ror":"https://ror.org/03e2e3s57","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210138251"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Sovan Samanta","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Information Technology, Nagpur, 440006, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Information Technology, Nagpur, 440006, India","institution_ids":["https://openalex.org/I4210138251"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039205000","display_name":"Madhumangal Pal","orcid":"https://orcid.org/0000-0002-6709-836X","observed_orcids":["https://orcid.org/0000-0002-6709-836X","https://orcid.org/0000-0002-7131-7131"]},"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, 721102, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721102, India","institution_ids":["https://openalex.org/I41549804"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072356626","display_name":"R. A. Borzooei","orcid":"https://orcid.org/0000-0001-7538-7885","observed_orcids":["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":"R. A. Borzooei","raw_affiliation_strings":["Department of Mathematics, Shahid Beheshti University, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shahid Beheshti University, Tehran, Iran","institution_ids":["https://openalex.org/I48379061"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5088135807"],"corresponding_institution_ids":["https://openalex.org/I4210138251"],"apc_list":null,"apc_paid":null,"fwci":2.5599,"has_fulltext":true,"cited_by_count":26,"citation_normalized_percentile":{"value":0.89929273,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":97},"biblio":{"volume":"5","issue":"1","first_page":"1234","last_page":"1234"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9990000128746033,"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":0.9990000128746033,"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/T14500","display_name":"Smarandache Functions and Recreational Number Theory","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":9.999999747378752e-05,"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/weak-isomorphism","display_name":"weak isomorphism","score":0.9729999899864197}],"concepts":[{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.8244102001190186},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.6716775298118591},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.6522258520126343},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4642904996871948},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4554457664489746},{"id":"https://openalex.org/C61665672","wikidata":"https://www.wikidata.org/wiki/Q303100","display_name":"Graph isomorphism","level":4,"score":0.4339927136898041},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4228760600090027},{"id":"https://openalex.org/C2776083694","wikidata":"https://www.wikidata.org/wiki/Q7908559","display_name":"Vague set","level":4,"score":0.4175875782966614},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3718941807746887},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.21224305033683777},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1742573380470276},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.07363802194595337},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1186/s40064-016-2892-z","doi":"https://doi.org/10.1186/s40064-016-2892-z","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s40064-016-2892-z","pdf_url":"https://springerplus.springeropen.com/track/pdf/10.1186/s40064-016-2892-z","source":{"id":"https://openalex.org/S2531072874","display_name":"SpringerPlus","issn_l":"2193-1801","issn":["2193-1801"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","poland-40","vabb-shw"],"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SpringerPlus","raw_type":"journal-article"},{"id":"pmh:oai:pubmedcentral.nih.gov:4971011","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/4971011","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Springerplus","raw_type":"Text"},{"id":"pmid:27536517","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/27536517","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SpringerPlus","raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.1186/s40064-016-2892-z","doi":"https://doi.org/10.1186/s40064-016-2892-z","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s40064-016-2892-z","pdf_url":"https://springerplus.springeropen.com/track/pdf/10.1186/s40064-016-2892-z","source":{"id":"https://openalex.org/S2531072874","display_name":"SpringerPlus","issn_l":"2193-1801","issn":["2193-1801"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","poland-40","vabb-shw"],"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SpringerPlus","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2491691835.pdf","grobid_xml":"https://content.openalex.org/works/W2491691835.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W59607384","https://openalex.org/W1496156369","https://openalex.org/W1531141258","https://openalex.org/W1565315122","https://openalex.org/W1601092472","https://openalex.org/W1805318852","https://openalex.org/W1979285860","https://openalex.org/W1990733953","https://openalex.org/W2050147082","https://openalex.org/W2070748818","https://openalex.org/W2090187739","https://openalex.org/W2125039351","https://openalex.org/W2184523047","https://openalex.org/W2287080613","https://openalex.org/W2293737317","https://openalex.org/W2296563105","https://openalex.org/W2318867906","https://openalex.org/W2337721806","https://openalex.org/W2342014178","https://openalex.org/W2342368241","https://openalex.org/W2550772391","https://openalex.org/W2565720770","https://openalex.org/W2911442931","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2304529914","https://openalex.org/W2480204559","https://openalex.org/W2281099455","https://openalex.org/W3185114346","https://openalex.org/W4392113669","https://openalex.org/W2747665659","https://openalex.org/W2482588867","https://openalex.org/W2338624014","https://openalex.org/W2337721806","https://openalex.org/W4226263056"],"abstract_inverted_index":{"The":[0,21],"main":[1],"purpose":[2],"of":[3,11,23,48],"this":[4],"paper":[5],"is":[6],"to":[7],"introduce":[8],"the":[9],"notion":[10],"vague":[12,15,19,24,27,51],"h-morphism":[13,25],"on":[14,26,36],"graphs":[16,30,52],"and":[17,38],"regular":[18,29],"graphs.":[20],"action":[22],"strong":[28],"are":[31,42,53],"studied.":[32],"Some":[33],"elegant":[34],"results":[35],"weak":[37,40],"co":[39],"isomorphism":[41],"derived.":[43],"Also,":[44],"[Formula:":[45],"see":[46],"text]-complement":[47],"highly":[49],"irregular":[50],"defined.":[54]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-08-23T00:00:00"}
