{"id":"https://openalex.org/W4405808783","doi":"https://doi.org/10.3390/sym17010026","title":"A Novel IVBPRT-ELECTRE III Algorithm Based on Bidirectional Projection and Its Application","display_name":"A Novel IVBPRT-ELECTRE III Algorithm Based on Bidirectional Projection and Its Application","publication_year":2024,"publication_date":"2024-12-26","ids":{"openalex":"https://openalex.org/W4405808783","doi":"https://doi.org/10.3390/sym17010026"},"language":"en","primary_location":{"id":"doi:10.3390/sym17010026","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17010026","pdf_url":"https://www.mdpi.com/2073-8994/17/1/26/pdf?version=1735223877","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","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/17/1/26/pdf?version=1735223877","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065888879","display_name":"Juxiang Wang","orcid":"https://orcid.org/0000-0002-2591-0807"},"institutions":[{"id":"https://openalex.org/I118987531","display_name":"Anhui Jianzhu University","ror":"https://ror.org/0108wjw08","country_code":"CN","type":"education","lineage":["https://openalex.org/I118987531"]},{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Juxiang Wang","raw_affiliation_strings":["School of Management, Hefei University of Technology, Hefei 230009, China","School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Management, Hefei University of Technology, Hefei 230009, China","institution_ids":["https://openalex.org/I16365422"]},{"raw_affiliation_string":"School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China","institution_ids":["https://openalex.org/I118987531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100651036","display_name":"Min Xu","orcid":"https://orcid.org/0000-0001-9265-9096"},"institutions":[{"id":"https://openalex.org/I118987531","display_name":"Anhui Jianzhu University","ror":"https://ror.org/0108wjw08","country_code":"CN","type":"education","lineage":["https://openalex.org/I118987531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Xu","raw_affiliation_strings":["School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China","institution_ids":["https://openalex.org/I118987531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101965830","display_name":"Yanjun Wang","orcid":"https://orcid.org/0000-0003-3702-5693"},"institutions":[{"id":"https://openalex.org/I118987531","display_name":"Anhui Jianzhu University","ror":"https://ror.org/0108wjw08","country_code":"CN","type":"education","lineage":["https://openalex.org/I118987531"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yanjun Wang","raw_affiliation_strings":["School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China","institution_ids":["https://openalex.org/I118987531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088865404","display_name":"Ziqi Zhu","orcid":"https://orcid.org/0000-0003-2626-0129"},"institutions":[{"id":"https://openalex.org/I118987531","display_name":"Anhui Jianzhu University","ror":"https://ror.org/0108wjw08","country_code":"CN","type":"education","lineage":["https://openalex.org/I118987531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ziqi Zhu","raw_affiliation_strings":["School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China","institution_ids":["https://openalex.org/I118987531"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065888879","https://openalex.org/A5101965830"],"corresponding_institution_ids":["https://openalex.org/I118987531","https://openalex.org/I16365422"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.0385,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.77345593,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"17","issue":"1","first_page":"26","last_page":"26"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10326","display_name":"Indoor and Outdoor Localization Technologies","score":0.9866999983787537,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10326","display_name":"Indoor and Outdoor Localization Technologies","score":0.9866999983787537,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9768000245094299,"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"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9704999923706055,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/electre","display_name":"ELECTRE","score":0.8563820719718933},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.558623731136322},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5270243883132935},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4584251642227173},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2984172999858856},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.22501957416534424},{"id":"https://openalex.org/keywords/multiple-criteria-decision-analysis","display_name":"Multiple-criteria decision analysis","score":0.07116210460662842}],"concepts":[{"id":"https://openalex.org/C47431972","wikidata":"https://www.wikidata.org/wiki/Q3045948","display_name":"ELECTRE","level":3,"score":0.8563820719718933},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.558623731136322},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5270243883132935},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4584251642227173},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2984172999858856},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.22501957416534424},{"id":"https://openalex.org/C11105738","wikidata":"https://www.wikidata.org/wiki/Q1895805","display_name":"Multiple-criteria decision analysis","level":2,"score":0.07116210460662842}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym17010026","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17010026","pdf_url":"https://www.mdpi.com/2073-8994/17/1/26/pdf?version=1735223877","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"},{"id":"pmh:oai:doaj.org/article:7cd7e4824dba453c95771f61c61ed282","is_oa":false,"landing_page_url":"https://doaj.org/article/7cd7e4824dba453c95771f61c61ed282","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 17, Iss 1, p 26 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym17010026","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17010026","pdf_url":"https://www.mdpi.com/2073-8994/17/1/26/pdf?version=1735223877","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":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8199999928474426}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4405808783.pdf","grobid_xml":"https://content.openalex.org/works/W4405808783.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W1976567794","https://openalex.org/W1978062397","https://openalex.org/W1989781678","https://openalex.org/W1995875735","https://openalex.org/W2083624225","https://openalex.org/W2095895044","https://openalex.org/W2097752856","https://openalex.org/W2145964516","https://openalex.org/W2343260353","https://openalex.org/W2474884296","https://openalex.org/W2593995542","https://openalex.org/W2623569885","https://openalex.org/W2922227541","https://openalex.org/W2974232070","https://openalex.org/W3033918834","https://openalex.org/W3204449843","https://openalex.org/W4231510805","https://openalex.org/W4313420775","https://openalex.org/W4319019086","https://openalex.org/W4367610348","https://openalex.org/W4372194289","https://openalex.org/W4378979334","https://openalex.org/W4390630068","https://openalex.org/W4391315668","https://openalex.org/W4391474280","https://openalex.org/W4392387106","https://openalex.org/W4392514917","https://openalex.org/W4393970349","https://openalex.org/W4398150798","https://openalex.org/W4399029876","https://openalex.org/W6610734688","https://openalex.org/W6639619044","https://openalex.org/W6679780668","https://openalex.org/W6851361148"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2066806204","https://openalex.org/W2979252124","https://openalex.org/W1595982431","https://openalex.org/W4312661456","https://openalex.org/W2232834817","https://openalex.org/W2267700231","https://openalex.org/W4210956414"],"abstract_inverted_index":{"Fuzzy":[0],"semantics":[1],"have":[2,39,48],"a":[3,49,99,306],"wide":[4],"range":[5],"of":[6,35,55,76,168,171,186,208,216,225,242,261,269,276,294],"applications":[7],"in":[8,266],"life,":[9],"and":[10,98,114,164,176,184,194,198,234,253,278,292],"especially":[11],"when":[12],"expressing":[13],"people\u2019s":[14],"evaluation":[15],"information,":[16],"it":[17],"is":[18,92,124,128,298],"more":[19,232],"specific.":[20],"As":[21],"people":[22],"increasingly":[23],"prefer":[24],"to":[25,67,72,94,203,256,271,285],"express":[26],"their":[27,177],"personal":[28],"opinions":[29,34,215],"through":[30,300],"media":[31,160],"platforms,":[32],"the":[33,36,53,59,74,88,153,166,169,174,182,187,192,195,200,205,213,217,223,228,240,258,264,273,280,287,290,295,301],"general":[37],"public":[38],"become":[40],"an":[41,129,162],"indispensable":[42],"reference.":[43],"However,":[44],"information":[45,77,157],"asymmetry":[46],"can":[47],"significant":[50],"impact":[51],"on":[52,58,111,135,158],"rationality":[54],"decision-making.":[56],"Based":[57],"above":[60],"considerations,":[61],"this":[62,150,237],"paper":[63,238],"extends":[64],"bidirectional":[65,112,143,243,251],"projection":[66,113,144,244,252],"probabilistic":[68,89,120,138],"linguistic":[69,90,121,139],"term":[70,122,140],"sets":[71],"preserve":[73],"completeness":[75],"as":[78,80,305],"much":[79],"possible.":[81],"The":[82,126],"large-scale":[83],"group":[84,101],"decision-making":[85,102,229],"problem":[86],"under":[87,117,245],"environment":[91],"extended":[93,130,281],"limited":[95,118,136],"interval":[96],"values,":[97],"new":[100],"method":[103,127,133,284,297],"named":[104],"IVBPRT-ELECTRE":[105],"III":[106,109,132,283],"algorithm":[107],"(ELECTRE":[108],"based":[110,134],"regret":[115,146,254],"theory":[116,147,255],"interval-valued":[119,137],"set)":[123],"proposed.":[125],"ELECTRE":[131,282],"set":[141],"(l-IVPLTS)":[142],"by":[145],"approach.":[148],"Firstly,":[149],"involves":[151],"mining":[152],"online":[154],"text":[155],"comment":[156],"social":[159],"about":[161],"emergency":[163,188],"considering":[165,212],"effect":[167],"number":[170],"fans,":[172],"determining":[173],"attributes":[175],"initial":[178,206],"weights":[179,260,275],"for":[180],"judging":[181],"strengths":[183],"weaknesses":[185],"management":[189],"alternative":[190,230],"using":[191,199],"TF-IDF":[193],"Word2vec":[196],"technology,":[197],"entropy":[201],"value":[202],"adjust":[204],"weight":[207],"attributes,":[209],"not":[210],"only":[211],"real":[214],"public,":[218],"but":[219],"also":[220],"combining":[221,249],"with":[222],"views":[224],"experts,":[226,262,277],"making":[227],"selection":[231],"scientific":[233],"reasonable.":[235],"Secondly,":[236],"fills":[239],"gap":[241],"l-IVPLTS":[246,250],"environment;":[247],"then,":[248],"determine":[257],"objective":[259],"combines":[263],"differences":[265],"individual":[267],"expertise":[268],"experts":[270],"obtain":[272],"comprehensive":[274],"uses":[279],"rank":[286],"alternatives.":[288],"Finally,":[289],"feasibility":[291],"validity":[293],"provided":[296],"verified":[299],"Yanjiao":[302],"explosion":[303],"incident":[304],"case.":[307]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
