{"id":"https://openalex.org/W4412512825","doi":"https://doi.org/10.3390/sym17071160","title":"Matching Concepts of m-Polar Fuzzy Incidence Graphs","display_name":"Matching Concepts of m-Polar Fuzzy Incidence Graphs","publication_year":2025,"publication_date":"2025-07-20","ids":{"openalex":"https://openalex.org/W4412512825","doi":"https://doi.org/10.3390/sym17071160"},"language":"en","primary_location":{"id":"doi:10.3390/sym17071160","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17071160","pdf_url":"https://www.mdpi.com/2073-8994/17/7/1160/pdf?version=1753003765","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/17/7/1160/pdf?version=1753003765","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5118614696","display_name":"Dilara Akter Mitu","orcid":null},"institutions":[{"id":"https://openalex.org/I9086337","display_name":"Taiyuan University of Technology","ror":"https://ror.org/03kv08d37","country_code":"CN","type":"education","lineage":["https://openalex.org/I9086337"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dilara Akter Mitu","raw_affiliation_strings":["College of Mathematics, Taiyuan University of Technology, Wanbailin District, Taiyuan 030024, China"],"raw_orcid":"https://orcid.org/0009-0000-0160-4031","affiliations":[{"raw_affiliation_string":"College of Mathematics, Taiyuan University of Technology, Wanbailin District, Taiyuan 030024, China","institution_ids":["https://openalex.org/I9086337"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007847184","display_name":"Weihua Yang","orcid":"https://orcid.org/0000-0001-6095-9836"},"institutions":[{"id":"https://openalex.org/I9086337","display_name":"Taiyuan University of Technology","ror":"https://ror.org/03kv08d37","country_code":"CN","type":"education","lineage":["https://openalex.org/I9086337"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Weihua Yang","raw_affiliation_strings":["College of Mathematics, Taiyuan University of Technology, Wanbailin District, Taiyuan 030024, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics, Taiyuan University of Technology, Wanbailin District, Taiyuan 030024, China","institution_ids":["https://openalex.org/I9086337"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070929744","display_name":"Abid Ali","orcid":"https://orcid.org/0000-0003-2654-9184"},"institutions":[{"id":"https://openalex.org/I9086337","display_name":"Taiyuan University of Technology","ror":"https://ror.org/03kv08d37","country_code":"CN","type":"education","lineage":["https://openalex.org/I9086337"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Abid Ali","raw_affiliation_strings":["College of Mathematics, Taiyuan University of Technology, Wanbailin District, Taiyuan 030024, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics, Taiyuan University of Technology, Wanbailin District, Taiyuan 030024, China","institution_ids":["https://openalex.org/I9086337"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082985749","display_name":"Tanmoy Mahapatra","orcid":"https://orcid.org/0000-0003-2404-1555"},"institutions":[{"id":"https://openalex.org/I2799306724","display_name":"Ramakrishna Mission Vidyamandira","ror":"https://ror.org/019wbnq12","country_code":"IN","type":"other","lineage":["https://openalex.org/I2799306724"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Tanmoy Mahapatra","raw_affiliation_strings":["Department of Mathematics, Ramkrishna Mahato Govt. Engg. College, Purulia 723103, India"],"raw_orcid":"https://orcid.org/0000-0003-2404-1555","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ramkrishna Mahato Govt. Engg. College, Purulia 723103, India","institution_ids":["https://openalex.org/I2799306724"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033600620","display_name":"Gohar Ali","orcid":null},"institutions":[{"id":"https://openalex.org/I206573129","display_name":"Islamia College University","ror":"https://ror.org/02p2c1595","country_code":"PK","type":"education","lineage":["https://openalex.org/I206573129"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Gohar Ali","raw_affiliation_strings":["Department of Mathematics, Islamia College Peshawar, Peshawar 25120, Khyber Pakhtunkhwa, Pakistan"],"raw_orcid":"https://orcid.org/0009-0008-4444-0370","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Islamia College Peshawar, Peshawar 25120, Khyber Pakhtunkhwa, Pakistan","institution_ids":["https://openalex.org/I206573129"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007601852","display_name":"Ioan\u2010Lucian Popa","orcid":"https://orcid.org/0000-0001-8042-1806"},"institutions":[{"id":"https://openalex.org/I3123573182","display_name":"Transylvania University of Bra\u0219ov","ror":"https://ror.org/01cg9ws23","country_code":"RO","type":"education","lineage":["https://openalex.org/I3123573182"]},{"id":"https://openalex.org/I4210140223","display_name":"1 Decembrie 1918 University","ror":"https://ror.org/04577k168","country_code":"RO","type":"education","lineage":["https://openalex.org/I4210140223"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Ioan-Lucian Popa","raw_affiliation_strings":["Department of Computing, Mathematics and Electronics, 1 Decembrie 1918 University of Alba Iulia, 510009 Alba Iulia, Romania","Faculty of Mathematics and Computer Science, Transilvania University of Brasov, Iuliu Maniu Street 50, 500091 Brasov, Romania"],"raw_orcid":"https://orcid.org/0000-0001-8042-1806","affiliations":[{"raw_affiliation_string":"Department of Computing, Mathematics and Electronics, 1 Decembrie 1918 University of Alba Iulia, 510009 Alba Iulia, Romania","institution_ids":["https://openalex.org/I4210140223"]},{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Transilvania University of Brasov, Iuliu Maniu Street 50, 500091 Brasov, Romania","institution_ids":["https://openalex.org/I3123573182"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5007601852","https://openalex.org/A5007847184"],"corresponding_institution_ids":["https://openalex.org/I3123573182","https://openalex.org/I4210140223","https://openalex.org/I9086337"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1848829,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"7","first_page":"1160","last_page":"1160"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9538000226020813,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9538000226020813,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9312000274658203,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9199000000953674,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/matching","display_name":"Matching (statistics)","score":0.5144951343536377},{"id":"https://openalex.org/keywords/polar","display_name":"Polar","score":0.4975419342517853},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.46245694160461426},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45325878262519836},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4105038046836853},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36526429653167725},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3249586224555969},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23150020837783813},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1476377248764038},{"id":"https://openalex.org/keywords/astronomy","display_name":"Astronomy","score":0.08058854937553406}],"concepts":[{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5144951343536377},{"id":"https://openalex.org/C29705727","wikidata":"https://www.wikidata.org/wiki/Q294562","display_name":"Polar","level":2,"score":0.4975419342517853},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.46245694160461426},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45325878262519836},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4105038046836853},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36526429653167725},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3249586224555969},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23150020837783813},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1476377248764038},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.08058854937553406}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3390/sym17071160","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17071160","pdf_url":"https://www.mdpi.com/2073-8994/17/7/1160/pdf?version=1753003765","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3390/sym17071160","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17071160","pdf_url":"https://www.mdpi.com/2073-8994/17/7/1160/pdf?version=1753003765","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4412512825.pdf","grobid_xml":"https://content.openalex.org/works/W4412512825.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1565315122","https://openalex.org/W2155294756","https://openalex.org/W2317413710","https://openalex.org/W2484397683","https://openalex.org/W2790699701","https://openalex.org/W2791999345","https://openalex.org/W3118940665","https://openalex.org/W4211007335","https://openalex.org/W4293805194","https://openalex.org/W4366588798","https://openalex.org/W4386084473","https://openalex.org/W4387265049","https://openalex.org/W4389319163","https://openalex.org/W6638938109","https://openalex.org/W6673038971","https://openalex.org/W6698872696","https://openalex.org/W6728459501"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W3092880073","https://openalex.org/W2885615566","https://openalex.org/W4403617990","https://openalex.org/W1973916483","https://openalex.org/W1996076013","https://openalex.org/W4245585954","https://openalex.org/W2065102984","https://openalex.org/W2025479331","https://openalex.org/W2149101979"],"abstract_inverted_index":{"The":[0],"m-Polar":[1,11],"Fuzzy":[2,12],"Incidence":[3],"Graph":[4,13],"(m-PFIG)":[5],"is":[6,121],"an":[7,95],"extension":[8],"of":[9,28,53,110],"the":[10,26,51,69,77,118],"(m-PFG),":[14],"which":[15],"provides":[16],"information":[17],"on":[18,75],"how":[19],"vertices":[20],"affect":[21],"edges.":[22],"This":[23,55],"study":[24,106],"explores":[25],"concept":[27,120],"matching":[29,65,112,119],"within":[30,60,94],"both":[31],"bipartite":[32,134],"and":[33,44,68,84],"general":[34],"m-polar":[35],"fuzzy":[36,47,99],"incidence":[37],"graphs":[38],"(m-PFIGs).":[39],"It":[40,73],"extends":[41],"various":[42,58],"results":[43],"theorems":[45],"from":[46],"graph":[48],"theory":[49],"to":[50,123],"framework":[52],"m-PFIGs.":[54,116],"research":[56],"investigates":[57],"operations":[59],"m-PFIGs,":[61],"including":[62],"augmenting":[63],"paths,":[64],"principal":[66,113,127],"numbers,":[67],"relationships":[70],"among":[71],"them.":[72],"focuses":[74],"identifying":[76],"most":[78],"suitable":[79],"employees":[80],"for":[81],"specific":[82],"roles":[83],"achieving":[85],"optimal":[86],"outcomes,":[87],"particularly":[88,132],"in":[89,115,133],"situations":[90],"involving":[91,102],"internal":[92],"conflicts":[93],"organization.":[96],"To":[97],"address":[98],"maximization":[100],"problems":[101],"vertex\u2013incidence":[103],"pairs,":[104],"this":[105],"outlines":[107],"key":[108],"properties":[109],"maximum":[111,126],"numbers":[114],"Ultimately,":[117],"applied":[122],"attain":[124],"these":[125],"values,":[128],"demonstrating":[129],"its":[130],"effectiveness,":[131],"m-PFIG":[135],"scenarios.":[136]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
