{"id":"https://openalex.org/W4401633975","doi":"https://doi.org/10.1109/access.2024.3444605","title":"TOPSIS-Based Nonlinear Programming Method in Cubic <i> <b>p</b> </i>, <i> <b>q</b> </i>\u2013Quasirung Orthopair Fuzzy Environment: Application in Green Supplier Selection","display_name":"TOPSIS-Based Nonlinear Programming Method in Cubic <i> <b>p</b> </i>, <i> <b>q</b> </i>\u2013Quasirung Orthopair Fuzzy Environment: Application in Green Supplier Selection","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4401633975","doi":"https://doi.org/10.1109/access.2024.3444605"},"language":"en","primary_location":{"id":"doi:10.1109/access.2024.3444605","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3444605","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.2024.3444605","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068520218","display_name":"You Bin","orcid":null},"institutions":[{"id":"https://openalex.org/I4210114483","display_name":"Chongqing Vocational and Technical University of Mechatronics","ror":"https://ror.org/01jsjgv89","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210114483"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bin You","raw_affiliation_strings":["College of General Education, Chongqing Vocational and Technical University of Mechatronics, Chongqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of General Education, Chongqing Vocational and Technical University of Mechatronics, Chongqing, China","institution_ids":["https://openalex.org/I4210114483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024475878","display_name":"Muhammad Rahim","orcid":null},"institutions":[{"id":"https://openalex.org/I263208278","display_name":"Hazara University","ror":"https://ror.org/018y22094","country_code":"PK","type":"education","lineage":["https://openalex.org/I263208278"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Rahim","raw_affiliation_strings":["Department of Mathematics and Statistics, Hazara University Mansehra, Mansehra, Khyber Pakhtunkhwa, Pakistan"],"raw_orcid":"https://orcid.org/0009-0002-7516-5873","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Hazara University Mansehra, Mansehra, Khyber Pakhtunkhwa, Pakistan","institution_ids":["https://openalex.org/I263208278"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020344801","display_name":"Fazli Amin","orcid":"https://orcid.org/0000-0001-7211-9324"},"institutions":[{"id":"https://openalex.org/I263208278","display_name":"Hazara University","ror":"https://ror.org/018y22094","country_code":"PK","type":"education","lineage":["https://openalex.org/I263208278"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Fazli Amin","raw_affiliation_strings":["Department of Mathematics and Statistics, Hazara University Mansehra, Mansehra, Khyber Pakhtunkhwa, Pakistan"],"raw_orcid":"https://orcid.org/0000-0001-7211-9324","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Hazara University Mansehra, Mansehra, Khyber Pakhtunkhwa, Pakistan","institution_ids":["https://openalex.org/I263208278"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062500650","display_name":"Sadique Ahmad","orcid":"https://orcid.org/0000-0001-6907-2318"},"institutions":[{"id":"https://openalex.org/I142024983","display_name":"Prince Sultan University","ror":"https://ror.org/053mqrf26","country_code":"SA","type":"education","lineage":["https://openalex.org/I142024983"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Sadique Ahmad","raw_affiliation_strings":["EIAS Data Science Laboratory, College of Computer and Information Sciences, Prince Sultan University, Riyadh, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-6907-2318","affiliations":[{"raw_affiliation_string":"EIAS Data Science Laboratory, College of Computer and Information Sciences, Prince Sultan University, Riyadh, Saudi Arabia","institution_ids":["https://openalex.org/I142024983"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031989062","display_name":"Muhammad Asim","orcid":"https://orcid.org/0000-0002-6423-9809"},"institutions":[{"id":"https://openalex.org/I142024983","display_name":"Prince Sultan University","ror":"https://ror.org/053mqrf26","country_code":"SA","type":"education","lineage":["https://openalex.org/I142024983"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Muhammad Asim","raw_affiliation_strings":["EIAS Data Science Laboratory, College of Computer and Information Sciences, Prince Sultan University, Riyadh, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-6423-9809","affiliations":[{"raw_affiliation_string":"EIAS Data Science Laboratory, College of Computer and Information Sciences, Prince Sultan University, Riyadh, Saudi Arabia","institution_ids":["https://openalex.org/I142024983"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":2.1646,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.88150115,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"12","issue":null,"first_page":"114722","last_page":"114734"},"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9869999885559082,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12945","display_name":"Quality Function Deployment in Product Design","score":0.9807999730110168,"subfield":{"id":"https://openalex.org/subfields/1405","display_name":"Management of Technology and Innovation"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.553756058216095},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5070037841796875},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.47995617985725403},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3889029026031494},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38446521759033203},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2006971538066864},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11770504713058472}],"concepts":[{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.553756058216095},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5070037841796875},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.47995617985725403},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3889029026031494},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38446521759033203},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2006971538066864},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11770504713058472},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2024.3444605","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3444605","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:6ea956ed4be142e6afe8924997245fe4","is_oa":true,"landing_page_url":"https://doaj.org/article/6ea956ed4be142e6afe8924997245fe4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 12, Pp 114722-114734 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2024.3444605","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3444605","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":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W26553146","https://openalex.org/W774807114","https://openalex.org/W1673571864","https://openalex.org/W1765570948","https://openalex.org/W1980564456","https://openalex.org/W2079457935","https://openalex.org/W2116321937","https://openalex.org/W2412590235","https://openalex.org/W2514754342","https://openalex.org/W2787988918","https://openalex.org/W2886908423","https://openalex.org/W2887926026","https://openalex.org/W2898781134","https://openalex.org/W2946155050","https://openalex.org/W2953509089","https://openalex.org/W2964838709","https://openalex.org/W2994776109","https://openalex.org/W2996521213","https://openalex.org/W3004156516","https://openalex.org/W3011872714","https://openalex.org/W3026554755","https://openalex.org/W3034305775","https://openalex.org/W3088671682","https://openalex.org/W3132606368","https://openalex.org/W3167526659","https://openalex.org/W3170111577","https://openalex.org/W3200490520","https://openalex.org/W4205482310","https://openalex.org/W4211007335","https://openalex.org/W4220827976","https://openalex.org/W4221023303","https://openalex.org/W4290694432","https://openalex.org/W4292078529","https://openalex.org/W4293092631","https://openalex.org/W4307822830","https://openalex.org/W4307911002","https://openalex.org/W4376119837","https://openalex.org/W4384342692","https://openalex.org/W4386926034","https://openalex.org/W4387350574","https://openalex.org/W4388933739","https://openalex.org/W4391116568","https://openalex.org/W4392908041","https://openalex.org/W4399206834","https://openalex.org/W6772921870"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,34,70,128,186,224],"this":[3,158],"study":[4,206],"is":[5,133,215],"to":[6,21,60,208,218],"explore":[7],"innovative":[8,193],"non-linear":[9],"programming":[10],"(NLP)":[11],"models":[12,164],"utilizing":[13],"the":[14,32,68,162,170,220,225],"Technique":[15],"for":[16,27],"Order":[17],"Preference":[18],"by":[19,135,157],"Similarity":[20],"Ideal":[22],"Solution":[23],"(TOPSIS)":[24],"method,":[25],"tailored":[26],"resolving":[28],"decision-making":[29,195],"challenges":[30],"within":[31],"framework":[33],"cubic":[35],"<inline-formula":[36,46,73,83,93,115,139,149],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[37,47,74,84,94,104,116,140,150],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[38,48,75,85,95,105,117,141,151],"<tex-math":[39,49,76,86,96,106,118,142,152],"notation=\"LaTeX\">$p,q-$":[40,77,97,107,153],"</tex-math></inline-formula>":[41,78,91,98,108,123,147,154],"quasirung":[42,79],"orthopair":[43,80,100],"fuzzy":[44,81,101],"sets":[45,82,102],"notation=\"LaTeX\">$({\\mathrm":[50,87],"{C}_{\\mathrm":[51,120],"{(p,q)}}}\\mathrm":[52,89,121,145],"{QOFSs})$":[53,90],"</tex-math></inline-formula>.":[54],"In":[55],"prior":[56],"research,":[57],"data":[58],"pertaining":[59],"an":[61,112,126,192],"element":[62],"has":[63],"typically":[64],"been":[65],"gathered":[66],"in":[67],"form":[69],"either":[71],"interval-valued":[72],"{IV}_{\\mathrm":[88,144],"or":[92],"quasi":[99],"(<inline-formula":[103],"QOFSs)":[109],"information.":[110],"As":[111],"alternative":[113],"approach,":[114],"notation=\"LaTeX\">${\\mathrm":[119,143],"{QOFSs}$":[122,146],"emerges":[124],"as":[125],"extension":[127],"these":[129,187],"sets,":[130],"wherein":[131],"information":[132],"compiled":[134],"simultaneously":[136],"considering":[137],"both":[138],"and":[148,168,198,222],"QOFSs.":[155],"Driven":[156],"motivation,":[159],"we":[160,180,190],"constructed":[161],"NLP":[163],"incorporating":[165],"interval":[166],"weights":[167],"integrating":[169],"relative":[171],"closeness":[172],"coefficient":[173],"concept":[174],"alongside":[175],"weighted":[176],"distance":[177],"measures.":[178],"Furthermore,":[179],"scrutinized":[181],"some":[182],"notable":[183],"characteristics":[184],"(RCC)":[185],"models.":[188],"Additionally,":[189],"introduce":[191],"multicriteria":[194],"(MCDM)":[196],"technique":[197],"illustrate":[199],"its":[200],"application":[201],"with":[202],"a":[203],"real-world":[204],"case":[205],"related":[207],"green":[209],"supplier":[210],"selection.":[211],"A":[212],"comparative":[213],"analysis":[214],"also":[216],"performed":[217],"validate":[219],"effectiveness":[221],"rationality":[223],"method.":[226]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2024-08-17T00:00:00"}