{"id":"https://openalex.org/W3171555709","doi":"https://doi.org/10.1007/s40747-021-00390-1","title":"Decision support model with Pythagorean fuzzy preference relations and its application in financial early warnings","display_name":"Decision support model with Pythagorean fuzzy preference relations and its application in financial early warnings","publication_year":2021,"publication_date":"2021-05-27","ids":{"openalex":"https://openalex.org/W3171555709","doi":"https://doi.org/10.1007/s40747-021-00390-1","mag":"3171555709"},"language":"en","primary_location":{"id":"doi:10.1007/s40747-021-00390-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-021-00390-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-021-00390-1.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://link.springer.com/content/pdf/10.1007/s40747-021-00390-1.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053222492","display_name":"Wenying Wu","orcid":"https://orcid.org/0000-0002-1611-8797"},"institutions":[{"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":"Wenying Wu","raw_affiliation_strings":["Key Laboratory of Process Optimization and Intelligent Decision-Making, Ministry of Education, Hefei, 230009, Anhui, China","School of Management, Hefei University of Technology, Hefei, 230009, Anhui, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Process Optimization and Intelligent Decision-Making, Ministry of Education, Hefei, 230009, Anhui, China","institution_ids":[]},{"raw_affiliation_string":"School of Management, Hefei University of Technology, Hefei, 230009, Anhui, China","institution_ids":["https://openalex.org/I16365422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031531881","display_name":"Zhiwei Ni","orcid":"https://orcid.org/0000-0002-3378-9779"},"institutions":[{"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":false,"raw_author_name":"Zhiwei Ni","raw_affiliation_strings":["Key Laboratory of Process Optimization and Intelligent Decision-Making, Ministry of Education, Hefei, 230009, Anhui, China","School of Management, Hefei University of Technology, Hefei, 230009, Anhui, China"],"raw_orcid":"https://orcid.org/0000-0002-3378-9779","affiliations":[{"raw_affiliation_string":"Key Laboratory of Process Optimization and Intelligent Decision-Making, Ministry of Education, Hefei, 230009, Anhui, China","institution_ids":[]},{"raw_affiliation_string":"School of Management, Hefei University of Technology, Hefei, 230009, Anhui, China","institution_ids":["https://openalex.org/I16365422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085129457","display_name":"Feifei Jin","orcid":"https://orcid.org/0000-0002-2616-3647"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feifei Jin","raw_affiliation_strings":["School of Business, Anhui University, Hefei, 230601, Anhui, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Business, Anhui University, Hefei, 230601, Anhui, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100414012","display_name":"Ying Li","orcid":"https://orcid.org/0000-0001-5926-5538"},"institutions":[{"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":false,"raw_author_name":"Ying Li","raw_affiliation_strings":["Key Laboratory of Process Optimization and Intelligent Decision-Making, Ministry of Education, Hefei, 230009, Anhui, China","School of Management, Hefei University of Technology, Hefei, 230009, Anhui, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Process Optimization and Intelligent Decision-Making, Ministry of Education, Hefei, 230009, Anhui, China","institution_ids":[]},{"raw_affiliation_string":"School of Management, Hefei University of Technology, Hefei, 230009, Anhui, China","institution_ids":["https://openalex.org/I16365422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101809862","display_name":"Juan Song","orcid":"https://orcid.org/0000-0001-8161-6787"},"institutions":[{"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":false,"raw_author_name":"Juan Song","raw_affiliation_strings":["Key Laboratory of Process Optimization and Intelligent Decision-Making, Ministry of Education, Hefei, 230009, Anhui, China","School of Management, Hefei University of Technology, Hefei, 230009, Anhui, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Process Optimization and Intelligent Decision-Making, Ministry of Education, Hefei, 230009, Anhui, China","institution_ids":[]},{"raw_affiliation_string":"School of Management, Hefei University of Technology, Hefei, 230009, Anhui, China","institution_ids":["https://openalex.org/I16365422"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5053222492"],"corresponding_institution_ids":["https://openalex.org/I16365422"],"apc_list":{"value":1320,"currency":"GBP","value_usd":1619},"apc_paid":{"value":1320,"currency":"GBP","value_usd":1619},"fwci":1.2537,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.80540263,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"8","issue":"1","first_page":"443","last_page":"466"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9873999953269958,"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"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9575999975204468,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pythagorean-theorem","display_name":"Pythagorean theorem","score":0.7872585654258728},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.7140247225761414},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.5978238582611084},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.5862156748771667},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.5318084955215454},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4891805946826935},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4809245765209198},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.4765760898590088},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47039708495140076},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4011183977127075},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3767194151878357},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10588717460632324},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.06530693173408508}],"concepts":[{"id":"https://openalex.org/C100461760","wikidata":"https://www.wikidata.org/wiki/Q11518","display_name":"Pythagorean theorem","level":2,"score":0.7872585654258728},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.7140247225761414},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.5978238582611084},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.5862156748771667},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.5318084955215454},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4891805946826935},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4809245765209198},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.4765760898590088},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47039708495140076},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4011183977127075},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3767194151878357},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10588717460632324},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.06530693173408508},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40747-021-00390-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-021-00390-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-021-00390-1.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s40747-021-00390-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-021-00390-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-021-00390-1.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.6499999761581421}],"awards":[{"id":"https://openalex.org/G1964202683","display_name":null,"funder_award_id":"71901001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3117221646","display_name":null,"funder_award_id":"91546108","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4186851577","display_name":null,"funder_award_id":"71701061","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5559138385","display_name":null,"funder_award_id":"2008085QG333","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"},{"id":"https://openalex.org/G5689880145","display_name":null,"funder_award_id":"16BJY132","funder_id":"https://openalex.org/F4320335869","funder_display_name":"National Social Science Fund of China"},{"id":"https://openalex.org/G819000529","display_name":null,"funder_award_id":"91546108","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334897","display_name":"Natural Science Foundation of Anhui Province","ror":null},{"id":"https://openalex.org/F4320335869","display_name":"National Social Science Fund of China","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3171555709.pdf","grobid_xml":"https://content.openalex.org/works/W3171555709.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W1668569279","https://openalex.org/W1738594383","https://openalex.org/W1829951598","https://openalex.org/W1980564456","https://openalex.org/W1982675899","https://openalex.org/W2013932252","https://openalex.org/W2031241748","https://openalex.org/W2057791961","https://openalex.org/W2089336319","https://openalex.org/W2104077967","https://openalex.org/W2129521002","https://openalex.org/W2252951467","https://openalex.org/W2254094533","https://openalex.org/W2292822555","https://openalex.org/W2412590235","https://openalex.org/W2511415659","https://openalex.org/W2549733045","https://openalex.org/W2596719705","https://openalex.org/W2605330569","https://openalex.org/W2747160131","https://openalex.org/W2772240868","https://openalex.org/W2772265564","https://openalex.org/W2890016748","https://openalex.org/W2891429382","https://openalex.org/W2900128988","https://openalex.org/W2903006785","https://openalex.org/W2905275839","https://openalex.org/W2912565176","https://openalex.org/W2917041931","https://openalex.org/W2936635606","https://openalex.org/W2937966114","https://openalex.org/W2939725975","https://openalex.org/W2945404912","https://openalex.org/W2951063129","https://openalex.org/W2964226769","https://openalex.org/W2969852833","https://openalex.org/W2996562872","https://openalex.org/W3014794519","https://openalex.org/W3016497533","https://openalex.org/W3044292067","https://openalex.org/W3049097111","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W2943864676","https://openalex.org/W2069750915","https://openalex.org/W2624109864","https://openalex.org/W2906568202","https://openalex.org/W2289408543","https://openalex.org/W2378292265","https://openalex.org/W2079781595","https://openalex.org/W59299519","https://openalex.org/W2804133259","https://openalex.org/W1969840038"],"abstract_inverted_index":{"Abstract":[0],"Pythagorean":[1,24,63],"fuzzy":[2,10,25,34,64],"sets":[3,11],"(PFSs)":[4],"retain":[5],"the":[6,69,82,97,112,128,133,155,172,183],"advantages":[7],"of":[8,32,45,71,86,99,114,163,174],"intuitionistic":[9,33],"(IFSs),":[12],"while":[13],"PFSs":[14],"portray":[15],"1.57":[16],"times":[17],"more":[18,39],"information":[19],"than":[20],"IFSs.":[21],"In":[22],"addition,":[23],"preference":[26,35,101],"relations":[27,36],"(PFPRs),":[28],"as":[29],"a":[30,51,62,89,104,118,142,175],"generalization":[31],"(IFPRs),":[37],"are":[38],"flexible":[40],"and":[41,74,131,152,167],"applicable.":[42],"The":[43],"objective":[44],"this":[46,139],"paper":[47,140],"is":[48,93,108,124,158,169,177],"to":[49,95,110,126],"propose":[50],"novel":[52],"decision":[53,119,143],"support":[54,120,144],"model":[55,92,107,121,145],"for":[56,77],"solving":[57],"group":[58,83,100,115],"decision-making":[59,84],"problems":[60],"in":[61],"environment.":[65],"First,":[66],"we":[67],"define":[68],"concepts":[70],"ordered":[72],"consistency":[73,76,90,98,151],"multiplicative":[75,150],"PFPRs.":[78],"Then,":[79],"aiming":[80],"at":[81],"problem":[85],"multiple":[87],"PFPRs,":[88],"improving":[91],"constructed":[94],"improve":[96],"relations.":[102],"Later,":[103],"consensus":[105],"reaching":[106],"developed":[109],"reach":[111],"degree":[113],"consensus.":[116,153],"Furthermore,":[117],"with":[122,146],"PFPRs":[123,147],"established":[125],"derive":[127],"normalized":[129],"weights":[130],"output":[132],"final":[134],"result.":[135],"Holding":[136],"these":[137],"features,":[138],"builds":[141],"based":[148],"on":[149],"Finally,":[154],"described":[156],"method":[157],"validated":[159],"by":[160],"an":[161,178],"example":[162],"financial":[164,184],"risk":[165],"management,":[166],"it":[168],"concluded":[170],"that":[171,181],"solvency":[173],"company":[176],"important":[179],"indicator":[180],"affects":[182],"early":[185],"warning":[186],"system.":[187]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}