{"id":"https://openalex.org/W4402389131","doi":"https://doi.org/10.1109/access.2024.3457613","title":"Innovative Bonferroni Mean Product and Linear Diophantine Fuzzy Bipartite Decision Graphs With Application to Sustainable Development","display_name":"Innovative Bonferroni Mean Product and Linear Diophantine Fuzzy Bipartite Decision Graphs With Application to Sustainable Development","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4402389131","doi":"https://doi.org/10.1109/access.2024.3457613"},"language":"en","primary_location":{"id":"doi:10.1109/access.2024.3457613","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3457613","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2024.3457613","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066149897","display_name":"Muhammad Umar Mirza","orcid":"https://orcid.org/0000-0001-9525-7308"},"institutions":[{"id":"https://openalex.org/I142204992","display_name":"University of Lahore","ror":"https://ror.org/051jrjw38","country_code":"PK","type":"education","lineage":["https://openalex.org/I142204992"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Muhammad Umar Mirza","raw_affiliation_strings":["Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan","Department of Mathematics and Statistics, University of Lahore, Lahore, Pakistan"],"raw_orcid":"https://orcid.org/0000-0001-9525-7308","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan","institution_ids":["https://openalex.org/I142204992"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Lahore, Lahore, Pakistan","institution_ids":["https://openalex.org/I142204992"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016937468","display_name":"Rukhshanda Anjum","orcid":"https://orcid.org/0000-0001-8736-0006"},"institutions":[{"id":"https://openalex.org/I142204992","display_name":"University of Lahore","ror":"https://ror.org/051jrjw38","country_code":"PK","type":"education","lineage":["https://openalex.org/I142204992"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Rukhshanda Anjum","raw_affiliation_strings":["Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan","Department of Mathematics and Statistics, University of Lahore, Lahore, Pakistan"],"raw_orcid":"https://orcid.org/0000-0001-8736-0006","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan","institution_ids":["https://openalex.org/I142204992"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Lahore, Lahore, Pakistan","institution_ids":["https://openalex.org/I142204992"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066887622","display_name":"Badr Saad T. Alkahtani","orcid":"https://orcid.org/0000-0002-2864-6888"},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Badr S. Alkahtani","raw_affiliation_strings":["Department of Mathematics, King Saud University, Riyadh, Saudi Arabia","Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, King Saud University, Riyadh, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]},{"raw_affiliation_string":"Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061369624","display_name":"Hong Min","orcid":"https://orcid.org/0000-0002-9099-0890"},"institutions":[{"id":"https://openalex.org/I12832649","display_name":"Gachon University","ror":"https://ror.org/03ryywt80","country_code":"KR","type":"education","lineage":["https://openalex.org/I12832649"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Hong Min","raw_affiliation_strings":["School of Computing, Gachon University, Seongnam-si, Republic of Korea","School of Computing, Gachon University, Seongnam, Republic of Korea"],"raw_orcid":"https://orcid.org/0000-0002-9099-0890","affiliations":[{"raw_affiliation_string":"School of Computing, Gachon University, Seongnam-si, Republic of Korea","institution_ids":["https://openalex.org/I12832649"]},{"raw_affiliation_string":"School of Computing, Gachon University, Seongnam, Republic of Korea","institution_ids":["https://openalex.org/I12832649"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069205023","display_name":"Mohd Anjum","orcid":"https://orcid.org/0000-0003-4094-3786"},"institutions":[{"id":"https://openalex.org/I171210897","display_name":"Aligarh Muslim University","ror":"https://ror.org/03kw9gc02","country_code":"IN","type":"education","lineage":["https://openalex.org/I171210897"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mohd Anjum","raw_affiliation_strings":["Department of Computer Engineering, Aligarh Muslim University, Aligarh, India"],"raw_orcid":"https://orcid.org/0000-0003-4094-3786","affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Aligarh Muslim University, Aligarh, India","institution_ids":["https://openalex.org/I171210897"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5066149897"],"corresponding_institution_ids":["https://openalex.org/I142204992"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.4693,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.68202329,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"12","issue":null,"first_page":"143675","last_page":"143694"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9287999868392944,"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":0.9287999868392944,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.7277737259864807},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5280916094779968},{"id":"https://openalex.org/keywords/diophantine-equation","display_name":"Diophantine equation","score":0.4955562353134155},{"id":"https://openalex.org/keywords/bonferroni-correction","display_name":"Bonferroni correction","score":0.4579339325428009},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4570803940296173},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4459091126918793},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43782445788383484},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33842530846595764},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20844709873199463},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.1498892605304718}],"concepts":[{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7277737259864807},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5280916094779968},{"id":"https://openalex.org/C206530611","wikidata":"https://www.wikidata.org/wiki/Q905896","display_name":"Diophantine equation","level":2,"score":0.4955562353134155},{"id":"https://openalex.org/C127808970","wikidata":"https://www.wikidata.org/wiki/Q385989","display_name":"Bonferroni correction","level":2,"score":0.4579339325428009},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4570803940296173},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4459091126918793},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43782445788383484},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33842530846595764},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20844709873199463},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.1498892605304718},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2024.3457613","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3457613","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ac9e54f95e0342858910393c71aa182c","is_oa":true,"landing_page_url":"https://doaj.org/article/ac9e54f95e0342858910393c71aa182c","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 12, Pp 143675-143694 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2024.3457613","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3457613","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3035364033","display_name":null,"funder_award_id":"RSPD2024R526","funder_id":"https://openalex.org/F4320321145","funder_display_name":"King Saud University"}],"funders":[{"id":"https://openalex.org/F4320321145","display_name":"King Saud University","ror":"https://ror.org/02f81g417"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":65,"referenced_works":["https://openalex.org/W1934277439","https://openalex.org/W2013932252","https://openalex.org/W2015439528","https://openalex.org/W2155294756","https://openalex.org/W2246073348","https://openalex.org/W2339970165","https://openalex.org/W2385027037","https://openalex.org/W2514754342","https://openalex.org/W2804105936","https://openalex.org/W2901104715","https://openalex.org/W2973775716","https://openalex.org/W2979570579","https://openalex.org/W3041770475","https://openalex.org/W3092063857","https://openalex.org/W3093484412","https://openalex.org/W3139668460","https://openalex.org/W3164521590","https://openalex.org/W3196961387","https://openalex.org/W4200480965","https://openalex.org/W4205155564","https://openalex.org/W4220919493","https://openalex.org/W4230571157","https://openalex.org/W4281485753","https://openalex.org/W4283023525","https://openalex.org/W4285272186","https://openalex.org/W4290628672","https://openalex.org/W4292295629","https://openalex.org/W4293062072","https://openalex.org/W4293207073","https://openalex.org/W4304127808","https://openalex.org/W4306630451","https://openalex.org/W4307128586","https://openalex.org/W4310508247","https://openalex.org/W4312221478","https://openalex.org/W4312424095","https://openalex.org/W4312574171","https://openalex.org/W4313318202","https://openalex.org/W4320016981","https://openalex.org/W4361733093","https://openalex.org/W4367031765","https://openalex.org/W4367171872","https://openalex.org/W4367297766","https://openalex.org/W4367365866","https://openalex.org/W4375948421","https://openalex.org/W4377097739","https://openalex.org/W4380877177","https://openalex.org/W4381542608","https://openalex.org/W4382402242","https://openalex.org/W4384565690","https://openalex.org/W4384942375","https://openalex.org/W4385548865","https://openalex.org/W4386011702","https://openalex.org/W4386932156","https://openalex.org/W4387010708","https://openalex.org/W4387827478","https://openalex.org/W4387978821","https://openalex.org/W4388505335","https://openalex.org/W4392302113","https://openalex.org/W4394840249","https://openalex.org/W4396519726","https://openalex.org/W4398787875","https://openalex.org/W4399469388","https://openalex.org/W4399682059","https://openalex.org/W6633286288","https://openalex.org/W6723554047"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2323172212","https://openalex.org/W2390064908","https://openalex.org/W2917228042","https://openalex.org/W2564440352","https://openalex.org/W4253992846","https://openalex.org/W2239990209","https://openalex.org/W2901814704","https://openalex.org/W1799780713","https://openalex.org/W2371352078"],"abstract_inverted_index":{"In":[0],"multi-criteria":[1],"decision-making":[2,43,147],"(MCDM)":[3],"situations,":[4],"it":[5],"is":[6,13,89,141],"widely":[7],"noticed":[8],"that":[9,55,119,149],"the":[10,16,24,110,121,142,153,161],"resolution":[11],"method":[12],"impacted":[14],"by":[15],"existence":[17],"of":[18,109,125,138,144,152,167],"imprecise":[19],"information":[20,197],"and":[21,77,99,123,160,178,201],"uncertainty":[22],"in":[23,33,42,127,173,180],"decision":[25,75,97,158],"maker\u2019s":[26],"assessment.":[27],"Existing":[28],"fuzzy":[29,47,53,73,82,95,104,113,131,156],"models":[30],"are":[31,50],"insufficient":[32],"controlling":[34],"these":[35,62],"uncertainties":[36],"to":[37,60,170],"achieve":[38],"a":[39,51,116,128,145],"suitable":[40],"balance":[41],"processes.":[44],"Linear":[45],"Diophantine":[46,72,81,94,103,112,130,155],"sets":[48],"(LDFSs)":[49],"powerful":[52],"model":[54],"uses":[56],"control":[57],"(reference)":[58],"parameters":[59],"address":[61],"difficult":[63],"challenges.":[64,184],"This":[65,185],"work":[66],"proposes":[67],"two":[68],"unique":[69],"concepts:":[70],"linear":[71,80,93,102,111,129,154],"bipartite":[74,96,157],"graphs":[76,98],"Bonferroni":[78,100,162],"mean":[79,101,163],"aggregation":[83,105],"operators.":[84,106],"A":[85],"strong":[86],"MCDM":[87],"framework":[88],"provided,":[90],"based":[91],"on":[92],"The":[107,136,165],"concept":[108],"degree":[114],"provides":[115],"metric":[117],"value":[118],"reflects":[120],"impact":[122],"relevance":[124],"vertices":[126],"network,":[132],"hence":[133],"improving":[134],"decision-making.":[135],"result":[137],"this":[139,168],"research":[140,186],"development":[143],"complete":[146],"system":[148],"makes":[150],"use":[151,166],"graph":[159],"product.":[164],"strategy":[169],"eliminate":[171],"poverty":[172],"Pakistan":[174],"demonstrates":[175],"its":[176],"effectiveness":[177],"versatility":[179],"dealing":[181],"with":[182],"real-world":[183],"shows":[187],"great":[188],"promise":[189],"for":[190,198,205],"addressing":[191],"complex":[192],"socioeconomic":[193],"challenges,":[194],"providing":[195],"critical":[196],"policymakers,":[199],"analysts,":[200],"academic":[202],"researchers":[203],"looking":[204],"novel":[206],"solutions":[207],"across":[208],"several":[209],"sectors.":[210]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2025-10-10T00:00:00"}