{"id":"https://openalex.org/W2145925682","doi":"https://doi.org/10.1109/fuzzy.2006.1681960","title":"The Equivalence of Cognitive Map, Fuzzy Cognitive Map and Multi Value Fuzzy Cognitive Map","display_name":"The Equivalence of Cognitive Map, Fuzzy Cognitive Map and Multi Value Fuzzy Cognitive Map","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2145925682","doi":"https://doi.org/10.1109/fuzzy.2006.1681960","mag":"2145925682"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2006.1681960","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2006.1681960","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Conference on Fuzzy Systems","raw_type":"proceedings-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/A5105670050","display_name":"Yuan Miao","orcid":"https://orcid.org/0000-0002-6712-3465"},"institutions":[{"id":"https://openalex.org/I71270174","display_name":"Victoria University","ror":"https://ror.org/04j757h98","country_code":"AU","type":"education","lineage":["https://openalex.org/I71270174"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Yuan Miao","raw_affiliation_strings":["School of Computer Science and Mathematics, Victoria University, Melbourne, VIC, Australia"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Mathematics, Victoria University, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I71270174"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072791647","display_name":"Xuehong Tao","orcid":"https://orcid.org/0000-0001-8151-633X"},"institutions":[{"id":"https://openalex.org/I71270174","display_name":"Victoria University","ror":"https://ror.org/04j757h98","country_code":"AU","type":"education","lineage":["https://openalex.org/I71270174"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"XueHong Tao","raw_affiliation_strings":["School of Education, Victoria University, Melbourne, VIC, Australia"],"affiliations":[{"raw_affiliation_string":"School of Education, Victoria University, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I71270174"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101789458","display_name":"Zhiqi Shen","orcid":"https://orcid.org/0000-0001-7626-7295"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"ZhiQi Shen","raw_affiliation_strings":["Information Communication Institute of Singapore, Nanyang Technological University, Singapore"],"affiliations":[{"raw_affiliation_string":"Information Communication Institute of Singapore, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007755182","display_name":"Zhi-Qiang Liu","orcid":"https://orcid.org/0000-0001-6545-1898"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"ZhiQiang Liu","raw_affiliation_strings":["School of Creative Media SCM, City University of Hong Kong, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"School of Creative Media SCM, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100382077","display_name":"Chunyan Miao","orcid":"https://orcid.org/0000-0002-0300-3448"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"ChunYan Miao","raw_affiliation_strings":["School of Computer Engineering, Nanyang Technological University, Singapore"],"affiliations":[{"raw_affiliation_string":"School of Computer Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5105670050"],"corresponding_institution_ids":["https://openalex.org/I71270174"],"apc_list":null,"apc_paid":null,"fwci":2.2587,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.89467556,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"3","issue":null,"first_page":"1872","last_page":"1878"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12805","display_name":"Cognitive Science and Mapping","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12805","display_name":"Cognitive Science and Mapping","score":0.9998999834060669,"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/T13062","display_name":"Cognitive Computing and Networks","score":0.9782000184059143,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fuzzy-cognitive-map","display_name":"Fuzzy cognitive map","score":0.9658727645874023},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.699627161026001},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5472150444984436},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5401232838630676},{"id":"https://openalex.org/keywords/cognition","display_name":"Cognition","score":0.5182571411132812},{"id":"https://openalex.org/keywords/cognitive-map","display_name":"Cognitive map","score":0.5159236192703247},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4821843206882477},{"id":"https://openalex.org/keywords/cognitive-model","display_name":"Cognitive model","score":0.44621920585632324},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4231148958206177},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3838012218475342},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3646697402000427},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.19737496972084045},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.10827454924583435},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.08175122737884521}],"concepts":[{"id":"https://openalex.org/C5041914","wikidata":"https://www.wikidata.org/wiki/Q5511107","display_name":"Fuzzy cognitive map","level":5,"score":0.9658727645874023},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.699627161026001},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5472150444984436},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5401232838630676},{"id":"https://openalex.org/C169900460","wikidata":"https://www.wikidata.org/wiki/Q2200417","display_name":"Cognition","level":2,"score":0.5182571411132812},{"id":"https://openalex.org/C170494330","wikidata":"https://www.wikidata.org/wiki/Q1778434","display_name":"Cognitive map","level":3,"score":0.5159236192703247},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4821843206882477},{"id":"https://openalex.org/C161407221","wikidata":"https://www.wikidata.org/wiki/Q4382939","display_name":"Cognitive model","level":3,"score":0.44621920585632324},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4231148958206177},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3838012218475342},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3646697402000427},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.19737496972084045},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.10827454924583435},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.08175122737884521},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzzy.2006.1681960","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2006.1681960","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Conference on Fuzzy Systems","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":12,"referenced_works":["https://openalex.org/W1529946294","https://openalex.org/W1567330276","https://openalex.org/W1568761874","https://openalex.org/W1843618791","https://openalex.org/W1966153007","https://openalex.org/W2047963742","https://openalex.org/W2070221282","https://openalex.org/W2095224843","https://openalex.org/W2098561270","https://openalex.org/W2130738022","https://openalex.org/W2154808409","https://openalex.org/W2606111292"],"related_works":["https://openalex.org/W2372922208","https://openalex.org/W3023217638","https://openalex.org/W2777396095","https://openalex.org/W2098983012","https://openalex.org/W1992321938","https://openalex.org/W2343440291","https://openalex.org/W152393904","https://openalex.org/W1661487699","https://openalex.org/W2374003666","https://openalex.org/W2587929477"],"abstract_inverted_index":{"Cognitive":[0],"map":[1,5],"(CM),":[2],"fuzzy":[3],"cognitive":[4,22],"(FCM)":[6],"are":[7],"two":[8],"related":[9],"tools":[10],"for":[11,94],"modeling":[12,30,42],"human":[13],"being's":[14],"cognition":[15],"and":[16,47,70,89,121,146],"facilitating":[17],"machine":[18],"deduction":[19],"over":[20],"the":[21,31,34,39,43,106,126,133,140,144],"model":[23,114],"accordingly.":[24],"FCM":[25,50,64,88],"has":[26],"extended":[27],"CM":[28,69,103,128],"by":[29],"strength":[32,44],"of":[33,41,45,143],"causal":[35],"relationship.":[36],"To":[37],"acquire":[38],"ability":[40],"cause":[46],"effect,":[48],"multi-value":[49],"(MVFCM)":[51],"is":[52,65,72],"formally":[53],"presented":[54],"in":[55],"this":[56],"paper,":[57],"which":[58],"uses":[59],"mutli-value":[60],"concepts.":[61],"Not":[62],"surprisingly,":[63],"more":[66,73,117],"complex":[67,74],"than":[68,75],"MVFCM":[71,119],"FCM.":[76],"This":[77,108],"paper":[78],"proves":[79],"that":[80,93,104],"there":[81,97],"exists":[82,98],"a":[83,99,102],"theoretical":[84,123,141],"equivalence":[85,131],"among":[86,132],"MVFCM,":[87,96],"CM.":[90],"It":[91],"shows":[92],"every":[95],"FCM,":[100],"or":[101],"represents":[105],"MVFCM.":[107],"result":[109],"allows":[110],"domain":[111],"experts":[112],"to":[113,139,148],"applications":[115],"with":[116,125],"descriptive":[118],"form":[120],"perform":[122],"analysis":[124,142],"simpler":[127],"form.":[129],"The":[130],"models":[134,145],"also":[135],"provides":[136],"strong":[137],"support":[138],"flexibility":[147],"their":[149],"applications.":[150]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
