{"id":"https://openalex.org/W4389077567","doi":"https://doi.org/10.1109/icmlc58545.2023.10327962","title":"A Novel Preference Scale Function Based on Poincar\u00e9 Metric for Decision-Making","display_name":"A Novel Preference Scale Function Based on Poincar\u00e9 Metric for Decision-Making","publication_year":2023,"publication_date":"2023-07-09","ids":{"openalex":"https://openalex.org/W4389077567","doi":"https://doi.org/10.1109/icmlc58545.2023.10327962"},"language":"en","primary_location":{"id":"doi:10.1109/icmlc58545.2023.10327962","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icmlc58545.2023.10327962","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 International Conference on Machine Learning and Cybernetics (ICMLC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057491706","display_name":"Youpeng Yang","orcid":"https://orcid.org/0000-0003-2248-8679"},"institutions":[{"id":"https://openalex.org/I69356397","display_name":"Xi\u2019an Jiaotong-Liverpool University","ror":"https://ror.org/03zmrmn05","country_code":"CN","type":"education","lineage":["https://openalex.org/I69356397"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Youpeng Yang","raw_affiliation_strings":["School of Advanced Technology, Xi'an Jiaotong Liverpool University,Suzhou,China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Advanced Technology, Xi'an Jiaotong Liverpool University,Suzhou,China","institution_ids":["https://openalex.org/I69356397"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100604981","display_name":"Sanghyuk Lee","orcid":"https://orcid.org/0000-0003-0253-6936"},"institutions":[{"id":"https://openalex.org/I4387155254","display_name":"New Uzbekistan University","ror":"https://ror.org/035v3tr79","country_code":"UZ","type":"education","lineage":["https://openalex.org/I4387155254"]},{"id":"https://openalex.org/I47151758","display_name":"National University of Uzbekistan","ror":"https://ror.org/011647w73","country_code":"UZ","type":"education","lineage":["https://openalex.org/I47151758"]}],"countries":["UZ"],"is_corresponding":false,"raw_author_name":"Sanghyuk Lee","raw_affiliation_strings":["School of Engineering, New Uzbekistan University,Tashkent,Uzbekistan","School of Engineering, New Uzbekistan University, Tashkent, Uzbekistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering, New Uzbekistan University,Tashkent,Uzbekistan","institution_ids":["https://openalex.org/I4387155254","https://openalex.org/I47151758"]},{"raw_affiliation_string":"School of Engineering, New Uzbekistan University, Tashkent, Uzbekistan","institution_ids":["https://openalex.org/I4387155254","https://openalex.org/I47151758"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091883923","display_name":"Haolan Zhang","orcid":"https://orcid.org/0000-0002-5033-1866"},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]},{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haolan Zhang","raw_affiliation_strings":["SCDM Center, Zhejiang University,Ningbo,China","SCDM Center, Zhejiang University, Ningbo, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SCDM Center, Zhejiang University,Ningbo,China","institution_ids":["https://openalex.org/I109935558","https://openalex.org/I76130692"]},{"raw_affiliation_string":"SCDM Center, Zhejiang University, Ningbo, China","institution_ids":["https://openalex.org/I109935558","https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003799782","display_name":"Witold Pedrycz","orcid":"https://orcid.org/0000-0002-9335-9930"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Witold Pedrycz","raw_affiliation_strings":["University of Alberta,Department of Electrical & Computer Engineering,Edmonton,Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Alberta,Department of Electrical & Computer Engineering,Edmonton,Canada","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100334907","display_name":"Kyeong Soo Kim","orcid":"https://orcid.org/0000-0002-4123-2647"},"institutions":[{"id":"https://openalex.org/I69356397","display_name":"Xi\u2019an Jiaotong-Liverpool University","ror":"https://ror.org/03zmrmn05","country_code":"CN","type":"education","lineage":["https://openalex.org/I69356397"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kyeong Soo Kim","raw_affiliation_strings":["School of Advanced Technology, Xi'an Jiaotong Liverpool University,Suzhou,China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Advanced Technology, Xi'an Jiaotong Liverpool University,Suzhou,China","institution_ids":["https://openalex.org/I69356397"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"37","last_page":"42"},"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.968500018119812,"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/preference","display_name":"Preference","score":0.6664649844169617},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6614995002746582},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5885628461837769},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5878061056137085},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5343140363693237},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4935375452041626},{"id":"https://openalex.org/keywords/poincar\u00e9-conjecture","display_name":"Poincar\u00e9 conjecture","score":0.4839385151863098},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.45706287026405334},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4431925415992737},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.402923583984375},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3623605966567993},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.35686439275741577},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3219432234764099},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.30020999908447266},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10118880867958069},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09975293278694153},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08770287036895752},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.05794575810432434}],"concepts":[{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.6664649844169617},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6614995002746582},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5885628461837769},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5878061056137085},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5343140363693237},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4935375452041626},{"id":"https://openalex.org/C88221313","wikidata":"https://www.wikidata.org/wiki/Q203586","display_name":"Poincar\u00e9 conjecture","level":2,"score":0.4839385151863098},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.45706287026405334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4431925415992737},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.402923583984375},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3623605966567993},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.35686439275741577},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3219432234764099},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.30020999908447266},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10118880867958069},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09975293278694153},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08770287036895752},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.05794575810432434},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icmlc58545.2023.10327962","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icmlc58545.2023.10327962","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 International Conference on Machine Learning and Cybernetics (ICMLC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1969921454","https://openalex.org/W1980564456","https://openalex.org/W2046305541","https://openalex.org/W2070417014","https://openalex.org/W2081037298","https://openalex.org/W2084063803","https://openalex.org/W2293624808","https://openalex.org/W2338365926","https://openalex.org/W2366213251","https://openalex.org/W3035569111","https://openalex.org/W3035700349","https://openalex.org/W3086215995","https://openalex.org/W3094100733","https://openalex.org/W3119381974","https://openalex.org/W3119545471","https://openalex.org/W3119717337","https://openalex.org/W3199800920","https://openalex.org/W4200629525","https://openalex.org/W4285231916"],"related_works":["https://openalex.org/W87675884","https://openalex.org/W154406135","https://openalex.org/W2132859092","https://openalex.org/W2166637398","https://openalex.org/W2384503959","https://openalex.org/W2181335288","https://openalex.org/W2153785281","https://openalex.org/W2012019755","https://openalex.org/W2374152511","https://openalex.org/W2013143463"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,23,43],"novel":[4],"preference":[5,44],"scale":[6,45,52,90],"function":[7,46,53,68,91],"based":[8,47],"on":[9,48],"the":[10,29,37,59,62,65,83,88,93],"Poincare":[11,38],"metric":[12],"for":[13,69],"decision-making":[14,33],"with":[15],"Intuitionistic":[16],"Fuzzy":[17],"Sets":[18],"(IFSs).":[19],"We":[20],"first":[21],"introduce":[22],"pair":[24],"of":[25,64,79,87],"two-dimensional":[26],"vectors":[27],"expressing":[28],"IFSs":[30,70],"in":[31],"multi-criteria":[32],"problems,":[34],"which":[35],"satisfy":[36],"metric,":[39],"and":[40,76],"then":[41],"construct":[42],"it.":[49],"The":[50,85],"proposed":[51,89],"can":[54],"address,":[55],"without":[56],"resorting":[57],"to":[58],"accuracy":[60],"function,":[61],"issue":[63],"existing":[66,94],"score":[67],"returning":[71],"zero":[72],"scores":[73],"when":[74],"membership":[75],"non-membership":[77],"degrees":[78],"an":[80],"element":[81],"are":[82,96],"same.":[84],"advantages":[86],"over":[92],"ones":[95],"demonstrated":[97],"through":[98],"illustrative":[99],"examples.":[100]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}