{"id":"https://openalex.org/W3015201476","doi":"https://doi.org/10.3390/e22040414","title":"Entropy-Based GLDS Method for Social Capital Selection of a PPP Project with q-Rung Orthopair Fuzzy Information","display_name":"Entropy-Based GLDS Method for Social Capital Selection of a PPP Project with q-Rung Orthopair Fuzzy Information","publication_year":2020,"publication_date":"2020-04-07","ids":{"openalex":"https://openalex.org/W3015201476","doi":"https://doi.org/10.3390/e22040414","mag":"3015201476","pmid":"https://pubmed.ncbi.nlm.nih.gov/33286188","pmcid":"https://www.ncbi.nlm.nih.gov/pmc/articles/7516889"},"language":"en","primary_location":{"id":"doi:10.3390/e22040414","doi":"https://doi.org/10.3390/e22040414","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e22040414","pdf_url":"https://www.mdpi.com/1099-4300/22/4/414/pdf","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","norway-1","poland-100","russia-white-list-2","vabb-shw"],"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":"Entropy","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/22/4/414/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110425719","display_name":"Li Liu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li Liu","raw_affiliation_strings":["School of Economics, Sichuan University, Chengdu 610065, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Economics, Sichuan University, Chengdu 610065, China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100452250","display_name":"Jiang Wu","orcid":"https://orcid.org/0000-0001-9286-4073","observed_orcids":["https://orcid.org/0000-0001-9286-4073"]},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiang Wu","raw_affiliation_strings":["School of Statistics, Southwestern University of Finance and Economics, Chengdu 611130, China"],"raw_orcid":"https://orcid.org/0000-0001-9286-4073","affiliations":[{"raw_affiliation_string":"School of Statistics, Southwestern University of Finance and Economics, Chengdu 611130, China","institution_ids":["https://openalex.org/I204831749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029662492","display_name":"Guiwu Wei","orcid":"https://orcid.org/0000-0001-9074-2005","observed_orcids":["https://orcid.org/0000-0001-9074-2005"]},"institutions":[{"id":"https://openalex.org/I63354593","display_name":"Sichuan Normal University","ror":"https://ror.org/043dxc061","country_code":"CN","type":"education","lineage":["https://openalex.org/I63354593"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guiwu Wei","raw_affiliation_strings":["School of Business, Sichuan Normal University, Chengdu 610101, China"],"raw_orcid":"https://orcid.org/0000-0001-9074-2005","affiliations":[{"raw_affiliation_string":"School of Business, Sichuan Normal University, Chengdu 610101, China","institution_ids":["https://openalex.org/I63354593"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011396486","display_name":"Cun Wei","orcid":"https://orcid.org/0000-0002-6195-8699","observed_orcids":["https://orcid.org/0000-0002-6195-8699"]},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cun Wei","raw_affiliation_strings":["School of Statistics, Southwestern University of Finance and Economics, Chengdu 611130, China"],"raw_orcid":"https://orcid.org/0000-0002-6195-8699","affiliations":[{"raw_affiliation_string":"School of Statistics, Southwestern University of Finance and Economics, Chengdu 611130, China","institution_ids":["https://openalex.org/I204831749"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jie Wang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I63354593","display_name":"Sichuan Normal University","ror":"https://ror.org/043dxc061","country_code":"CN","type":"education","lineage":["https://openalex.org/I63354593"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Wang","raw_affiliation_strings":["School of Business, Sichuan Normal University, Chengdu 610101, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Business, Sichuan Normal University, Chengdu 610101, China","institution_ids":["https://openalex.org/I63354593"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088507879","display_name":"Yu Wei","orcid":"https://orcid.org/0000-0003-3809-1449","observed_orcids":["https://orcid.org/0000-0003-3809-1449"]},"institutions":[{"id":"https://openalex.org/I49185572","display_name":"Yunnan University of Finance And Economics","ror":"https://ror.org/04rhev598","country_code":"CN","type":"education","lineage":["https://openalex.org/I49185572"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yu Wei","raw_affiliation_strings":["School of Finance, Yunnan University of Finance and Economics, Kunming 650221, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Finance, Yunnan University of Finance and Economics, Kunming 650221, China","institution_ids":["https://openalex.org/I49185572"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5088507879"],"corresponding_institution_ids":["https://openalex.org/I49185572"],"apc_list":{"value":1600,"currency":"CHF","value_usd":1690},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1690},"fwci":4.7706,"has_fulltext":true,"cited_by_count":47,"citation_normalized_percentile":{"value":0.95350626,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"22","issue":"4","first_page":"414","last_page":"414"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9951000213623047,"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":0.9951000213623047,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.0015999999595806003,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.0003000000142492354,"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/public-private-partnership-projects","display_name":"public-private partnership projects","score":0.7860000133514404},{"id":"https://openalex.org/keywords/q-rung-orthopair-fuzzy-sets","display_name":"q-rung orthopair fuzzy sets","score":0.9340000152587891},{"id":"https://openalex.org/keywords/multi-attribute-group-decision-making","display_name":"multi-attribute group decision making","score":0.8190000057220459},{"id":"https://openalex.org/keywords/feature-weighting","display_name":"feature weighting","score":0.7889999747276306}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6436128616333008},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.6263167858123779},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5708159804344177},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5382444858551025},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35549211502075195},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34982770681381226},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1894753873348236},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1361652910709381},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e22040414","doi":"https://doi.org/10.3390/e22040414","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e22040414","pdf_url":"https://www.mdpi.com/1099-4300/22/4/414/pdf","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","norway-1","poland-100","russia-white-list-2","vabb-shw"],"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":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:pubmedcentral.nih.gov:7516889","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7516889","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":"Entropy (Basel)","raw_type":"Text"},{"id":"pmid:33286188","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33286188","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":"Entropy (Basel, Switzerland)","raw_type":"Journal Article"},{"id":"pmh:oai:doaj.org/article:6bdd2ced4ec440eabb4ae6f303fed0ed","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/6bdd2ced4ec440eabb4ae6f303fed0ed","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,"listed_in":[],"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":"Entropy, Vol 22, Iss 4, p 414 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e22040414","doi":"https://doi.org/10.3390/e22040414","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e22040414","pdf_url":"https://www.mdpi.com/1099-4300/22/4/414/pdf","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","norway-1","poland-100","russia-white-list-2","vabb-shw"],"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":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321106","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3015201476.pdf","grobid_xml":"https://content.openalex.org/works/W3015201476.grobid-xml"},"referenced_works_count":70,"referenced_works":["https://openalex.org/W202198668","https://openalex.org/W1180463527","https://openalex.org/W1829951598","https://openalex.org/W1980564456","https://openalex.org/W2013932252","https://openalex.org/W2035572150","https://openalex.org/W2083199031","https://openalex.org/W2104077967","https://openalex.org/W2125268144","https://openalex.org/W2136692556","https://openalex.org/W2287374056","https://openalex.org/W2292359941","https://openalex.org/W2463044584","https://openalex.org/W2483598055","https://openalex.org/W2514754342","https://openalex.org/W2574155231","https://openalex.org/W2589233777","https://openalex.org/W2604920622","https://openalex.org/W2746747652","https://openalex.org/W2756292711","https://openalex.org/W2756483649","https://openalex.org/W2765614740","https://openalex.org/W2766466462","https://openalex.org/W2780754879","https://openalex.org/W2784303153","https://openalex.org/W2789682920","https://openalex.org/W2801101481","https://openalex.org/W2804747855","https://openalex.org/W2806911344","https://openalex.org/W2807924617","https://openalex.org/W2883904673","https://openalex.org/W2884025808","https://openalex.org/W2884892695","https://openalex.org/W2885643274","https://openalex.org/W2887518336","https://openalex.org/W2892091533","https://openalex.org/W2897422271","https://openalex.org/W2898894491","https://openalex.org/W2899304489","https://openalex.org/W2899511870","https://openalex.org/W2899516004","https://openalex.org/W2900213932","https://openalex.org/W2900501367","https://openalex.org/W2900719744","https://openalex.org/W2905440559","https://openalex.org/W2906752371","https://openalex.org/W2907195624","https://openalex.org/W2922183826","https://openalex.org/W2938214891","https://openalex.org/W2943858221","https://openalex.org/W2947276032","https://openalex.org/W2947771027","https://openalex.org/W2949365343","https://openalex.org/W2950636670","https://openalex.org/W2951434981","https://openalex.org/W2952394472","https://openalex.org/W2953244100","https://openalex.org/W2954574002","https://openalex.org/W2955147474","https://openalex.org/W2974973961","https://openalex.org/W2991237890","https://openalex.org/W2993142919","https://openalex.org/W2994776109","https://openalex.org/W2999405368","https://openalex.org/W3004286422","https://openalex.org/W3010849225","https://openalex.org/W3010927682","https://openalex.org/W3013493073","https://openalex.org/W3016913048","https://openalex.org/W3148907591"],"related_works":["https://openalex.org/W3047863732","https://openalex.org/W3000941124","https://openalex.org/W4407018488","https://openalex.org/W4364304504","https://openalex.org/W4224123582","https://openalex.org/W7168348599","https://openalex.org/W4207050093","https://openalex.org/W3163878959","https://openalex.org/W3093715772","https://openalex.org/W4322747769"],"abstract_inverted_index":{"The":[0],"social":[1,149],"capital":[2,150],"selection":[3,151],"of":[4,116,152],"a":[5,13,132,145,164],"public-private-partnership":[6],"(PPP)":[7],"project":[8],"could":[9],"be":[10],"regarded":[11],"as":[12],"classical":[14],"multiple":[15],"attribute":[16,102],"group":[17],"decision-making":[18],"(MAGDM)":[19],"issue.":[20],"In":[21,142],"this":[22],"paper,":[23],"based":[24,90,121],"on":[25,91,122],"the":[26,35,54,66,72,92,101,104,123,128,143,159],"traditional":[27,129],"gained":[28],"and":[29,81,112,127,162],"lost":[30],"dominance":[31],"score":[32],"(GLDS)":[33],"method,":[34,131],"q-rung":[36,55,67,73,82,105,136],"orthopair":[37,56,68,74,83,106,137],"fuzzy":[38,57,69,75,84,107,138],"entropy-based":[39],"GLDS":[40,130],"method":[41,161],"was":[42],"used":[43],"to":[44,53,64,99,157],"solve":[45],"MAGDM":[46,133],"problems.":[47],"First,":[48],"some":[49,113],"basic":[50],"theories":[51],"related":[52],"sets":[58],"(q-ROFSs)":[59],"are":[60,96,118],"briefly":[61],"reviewed.":[62],"Then,":[63],"fuse":[65],"information":[70,139],"effectively,":[71],"Hamacher":[76,85,93],"weighting":[77,86],"average":[78],"(q-ROFHWA)":[79],"operator":[80,89],"geometric":[87],"(q-ROFHWG)":[88],"operation":[94],"laws":[95],"proposed.":[97],"Moreover,":[98],"determine":[100],"weights,":[103],"entropy":[108],"(q-ROFE)":[109],"is":[110,140,155],"proposed":[111,160],"significant":[114],"merits":[115],"it":[117],"discussed.":[119],"Next,":[120],"q-ROFHWA":[124],"operator,":[125],"q-ROFE,":[126],"model":[134],"with":[135],"built.":[141],"end,":[144],"numerical":[146],"example":[147],"for":[148],"PPP":[153],"projects":[154],"provided":[156],"testify":[158],"deliver":[163],"comparative":[165],"analysis.":[166]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":10}],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2020-04-17T00:00:00"}