{"id":"https://openalex.org/W1990867860","doi":"https://doi.org/10.1142/s0219622006001885","title":"YINYANG BIPOLAR FUZZY SETS AND FUZZY EQUILIBRIUM RELATIONS: FOR CLUSTERING, OPTIMIZATION, AND GLOBAL REGULATION","display_name":"YINYANG BIPOLAR FUZZY SETS AND FUZZY EQUILIBRIUM RELATIONS: FOR CLUSTERING, OPTIMIZATION, AND GLOBAL REGULATION","publication_year":2006,"publication_date":"2006-03-01","ids":{"openalex":"https://openalex.org/W1990867860","doi":"https://doi.org/10.1142/s0219622006001885","mag":"1990867860"},"language":"en","primary_location":{"id":"doi:10.1142/s0219622006001885","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219622006001885","pdf_url":null,"source":{"id":"https://openalex.org/S207089700","display_name":"International Journal of Information Technology & Decision Making","issn_l":"0219-6220","issn":["0219-6220","1793-6845"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Information Technology & Decision Making","raw_type":"journal-article"},"type":"article","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/A5081998422","display_name":"Wen-Ran Zhang","orcid":"https://orcid.org/0000-0001-7592-6324"},"institutions":[{"id":"https://openalex.org/I39815113","display_name":"Georgia Southern University","ror":"https://ror.org/04agmb972","country_code":"US","type":"education","lineage":["https://openalex.org/I39815113"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"WEN-RAN ZHANG","raw_affiliation_strings":["Department of Computer Science, College of Information Technology, Georgia Southern University, P.O. Box 7997, Statesboro, GA, 30460-7997, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, College of Information Technology, Georgia Southern University, P.O. Box 7997, Statesboro, GA, 30460-7997, USA","institution_ids":["https://openalex.org/I39815113"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5081998422"],"corresponding_institution_ids":["https://openalex.org/I39815113"],"apc_list":null,"apc_paid":null,"fwci":7.4346,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.97035992,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"05","issue":"01","first_page":"19","last_page":"46"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9976000189781189,"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":0.9976000189781189,"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":0.9908000230789185,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.980400025844574,"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/fuzzy-logic","display_name":"Fuzzy logic","score":0.4913765490055084},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.4770197868347168},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4451432228088379},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44019004702568054},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.43480557203292847},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.4243677258491516},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42156320810317993},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.4158671498298645},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4041635990142822},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.39239776134490967},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32115286588668823},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.24837607145309448},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1826065480709076}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4913765490055084},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.4770197868347168},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4451432228088379},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44019004702568054},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.43480557203292847},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.4243677258491516},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42156320810317993},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.4158671498298645},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4041635990142822},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.39239776134490967},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32115286588668823},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.24837607145309448},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1826065480709076}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0219622006001885","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219622006001885","pdf_url":null,"source":{"id":"https://openalex.org/S207089700","display_name":"International Journal of Information Technology & Decision Making","issn_l":"0219-6220","issn":["0219-6220","1793-6845"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Information Technology & Decision Making","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:ijitdm:v:05:y:2006:i:01:n:s0219622006001885","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219622006001885","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:RePEc:wsi:ijitdm:v:05:y:2006:i:01:p:19-46","is_oa":false,"landing_page_url":"http://www.worldscinet.com/cgi-bin/details.cgi?type=html&id=pii:S0219622006001885","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.550000011920929}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W136232721","https://openalex.org/W1980564456","https://openalex.org/W1983437253","https://openalex.org/W2019529630","https://openalex.org/W2047922858","https://openalex.org/W2054416947","https://openalex.org/W2104734478","https://openalex.org/W2109160451","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W2773005380","https://openalex.org/W2060361571","https://openalex.org/W4388451300","https://openalex.org/W1879432897","https://openalex.org/W2256857057","https://openalex.org/W3167814444","https://openalex.org/W3176863924","https://openalex.org/W2023513928","https://openalex.org/W2182392910","https://openalex.org/W4361984403"],"abstract_inverted_index":{"Based":[0],"on":[1,58,161],"the":[2,59],"notions":[3],"of":[4,108,134],"bipolar":[5,10,20,28,34,41,48,75,81,92,109,115,130,143],"lattices":[6],"and":[7,13,23,91,117,149,154,166,180,182,195],"L-sets,":[8],"YinYang":[9],"fuzzy":[11,14,76,96,124,144],"sets":[12,111],"equilibrium":[15,35,77,125],"relations":[16],"are":[17,112,199],"presented":[18,113],"for":[19,114,164,188],"clustering,":[21],"optimization,":[22,191],"global":[24,167,193],"regulation.":[25],"While":[26],"a":[27,33,40,80,88,123,128,174,185,202],"L-set":[29],"is":[30,84,120,127],"defined":[31,86],"as":[32,51,87],"function":[36],"L":[37],"that":[38,122],"maps":[39],"object":[42],"set":[43,82],"X":[44,83,101],"over":[45],"an":[46],"arbitrary":[47],"lattice":[49,62],"B":[50,63,103],"L:X":[52],"\u21d2":[53,102],"B,":[54],"this":[55,171],"work":[56,172],"focuses":[57],"unit":[60],"square":[61],"F":[64,104],"=":[65],"[-1,":[66],"0]":[67],"\u00d7":[68],"[0,":[69],"1].":[70],"A":[71],"strong":[72],"or":[73,141],"weak":[74],"relation":[78,97,126],"in":[79,204],"then":[85,158],"reflexive,":[89],"symmetric,":[90],"interactive":[93],"(or":[94],"transitive)":[95],"\u03bc":[98],"R":[99],":":[100],".":[105],"Three":[106],"types":[107],"\u03b1-level":[110],"defuzzification":[116],"depolarization.":[118],"It":[119],"shown":[121],"non-linear":[129],"generalization":[131],"and/or":[132],"fusion":[133],"multiple":[135],"similarity":[136],"relations,":[137],"which":[138],"induces":[139],"disjoint":[140],"joint":[142],"subsets":[145],"including":[146],"quasi-coalition,":[147],"conflict,":[148],"harmony":[150],"sets.":[151],"Equilibrium":[152],"energy":[153],"stability":[155],"analysis":[156],"can":[157],"be":[159],"utilized":[160],"different":[162],"clusters":[163],"optimization":[165],"regulation":[168],"purposes.":[169],"Thus,":[170],"provides":[173],"unified":[175],"approach":[176],"to":[177,184],"truth,":[178],"fuzziness,":[179],"polarity":[181],"leads":[183],"holistic":[186],"theory":[187],"cognitive-map-based":[189],"visualization,":[190],"decision,":[192],"regulation,":[194],"coordination.":[196],"Basic":[197],"concepts":[198],"illustrated":[200],"with":[201],"simulation":[203],"macroeconomics.":[205]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}