{"id":"https://openalex.org/W2110417828","doi":"https://doi.org/10.1109/isic.2003.1254775","title":"The representations of fuzzy concepts based on the fuzzy matrix theory and the AFS theory","display_name":"The representations of fuzzy concepts based on the fuzzy matrix theory and the AFS theory","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2110417828","doi":"https://doi.org/10.1109/isic.2003.1254775","mag":"2110417828"},"language":"en","primary_location":{"id":"doi:10.1109/isic.2003.1254775","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isic.2003.1254775","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 IEEE International Symposium on Intelligent Control ISIC-03","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":null,"display_name":"Liu Xiaodong","orcid":null},"institutions":[{"id":"https://openalex.org/I43313876","display_name":"Dalian Maritime University","ror":"https://ror.org/002b7nr53","country_code":"CN","type":"education","lineage":["https://openalex.org/I43313876"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Liu Xiaodong","raw_affiliation_strings":["Department Of Mathematics and Physics, Dalian Maritime University, Dalian, China"],"affiliations":[{"raw_affiliation_string":"Department Of Mathematics and Physics, Dalian Maritime University, Dalian, China","institution_ids":["https://openalex.org/I43313876"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5097642153","display_name":"Zhu Kejiu","orcid":null},"institutions":[{"id":"https://openalex.org/I43313876","display_name":"Dalian Maritime University","ror":"https://ror.org/002b7nr53","country_code":"CN","type":"education","lineage":["https://openalex.org/I43313876"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhu Kejiu","raw_affiliation_strings":["Department Of Mathematics and Physics, Dalian Maritime University, Dalian, China"],"affiliations":[{"raw_affiliation_string":"Department Of Mathematics and Physics, Dalian Maritime University, Dalian, China","institution_ids":["https://openalex.org/I43313876"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113467060","display_name":"Hong\u2010Zhong Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hong-Zhong Huang","raw_affiliation_strings":["School of Mechanical Engineering, Dalian University of Technology, Dalian, China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, Dalian University of Technology, Dalian, China","institution_ids":["https://openalex.org/I27357992"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I43313876"],"apc_list":null,"apc_paid":null,"fwci":2.2115,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.880777,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1006","last_page":"1011"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9984999895095825,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9984999895095825,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9955999851226807,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9836999773979187,"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-set-operations","display_name":"Fuzzy set operations","score":0.66412752866745},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.6416070461273193},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6274433135986328},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.6253046989440918},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6233956813812256},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.61428302526474},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5729243755340576},{"id":"https://openalex.org/keywords/fuzzy-subalgebra","display_name":"Fuzzy subalgebra","score":0.5621046423912048},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.5557839274406433},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.5334957242012024},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5237412452697754},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.48237934708595276},{"id":"https://openalex.org/keywords/fuzzy-associative-matrix","display_name":"Fuzzy associative matrix","score":0.4364060163497925},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.4275888204574585},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.4262534976005554},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33727067708969116},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33662915229797363},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.31930357217788696},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3048056364059448},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20958179235458374},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05551999807357788}],"concepts":[{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.66412752866745},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.6416070461273193},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6274433135986328},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.6253046989440918},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6233956813812256},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.61428302526474},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5729243755340576},{"id":"https://openalex.org/C115740575","wikidata":"https://www.wikidata.org/wiki/Q5511136","display_name":"Fuzzy subalgebra","level":5,"score":0.5621046423912048},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.5557839274406433},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.5334957242012024},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5237412452697754},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.48237934708595276},{"id":"https://openalex.org/C144170203","wikidata":"https://www.wikidata.org/wiki/Q5511099","display_name":"Fuzzy associative matrix","level":5,"score":0.4364060163497925},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.4275888204574585},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.4262534976005554},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33727067708969116},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33662915229797363},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31930357217788696},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3048056364059448},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20958179235458374},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05551999807357788}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isic.2003.1254775","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isic.2003.1254775","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 IEEE International Symposium on Intelligent Control ISIC-03","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":8,"referenced_works":["https://openalex.org/W1512832987","https://openalex.org/W1981386322","https://openalex.org/W1982113032","https://openalex.org/W1988233222","https://openalex.org/W2014433834","https://openalex.org/W2046415586","https://openalex.org/W2314885430","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W2037428035","https://openalex.org/W2045460427","https://openalex.org/W2116819400","https://openalex.org/W1963942578","https://openalex.org/W4242545108","https://openalex.org/W2048452567","https://openalex.org/W2075305841","https://openalex.org/W2365416574","https://openalex.org/W2466052371","https://openalex.org/W2116600453"],"abstract_inverted_index":{"In":[0,51],"many":[1,41,150],"fuzzy":[2,8,26,49,58,87,95,128,136,167],"systems,":[3],"the":[4,13,24,29,48,54,64,86,98,104,115,123,127,131,135,142,147],"membership":[5,21,34,132],"functions":[6,22,35,133],"of":[7,57,97,101,107,134],"concepts":[9,59,96,137],"are":[10,36,103],"obtained":[11,140],"by":[12,63,72,114,119,141],"expert's":[14],"experiences.":[15],"Different":[16],"persons":[17],"may":[18],"have":[19,60],"different":[20],"for":[23,32],"same":[25],"concept":[27],"and":[28,85,126],"current":[30],"algorithms":[31,144],"determining":[33],"not":[37,45],"universal.":[38],"So":[39],"that":[40,93],"mathematical":[42,55,152],"tools":[43,153],"can":[44,111,138,162],"applied":[46,164],"to":[47,146,165],"model.":[50,168],"this":[52],"paper,":[53],"structures":[56,81],"been":[61],"studied":[62],"EI":[65,105],"algebra":[66],"which":[67,82,110],"is":[68,83,91],"molecular":[69],"lattice":[70,156],"defined":[71,118],"Wang":[73],"Guojun":[74],"over":[75],"some":[76],"AFS":[77,124],"(Axiomatic":[78],"Fuzzy":[79],"Set)":[80],"super-graph":[84],"matrix":[88,129],"theory.":[89],"It":[90],"proved":[92],"any":[94],"finite":[99],"universe":[100],"discourse":[102],"representations":[106],"simple":[108],"concepts,":[109],"be":[112,139,163],"represented":[113],"sub-perfect":[116],"relation":[117],"Kim":[120],"K.H..":[121],"Applying":[122],"theory":[125],"theory,":[130,157],"unitive":[143],"according":[145],"database.":[148],"And":[149],"powerful":[151],"such":[154],"as":[155],"topological":[158],"molecular,":[159],"combinatorics":[160],"etc.":[161],"study":[166]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}