{"id":"https://openalex.org/W2027437931","doi":"https://doi.org/10.1016/s0165-0114(96)00137-6","title":"Novel neural algorithms based on fuzzy \u03b4 rules for solving fuzzy relation equations: Part I","display_name":"Novel neural algorithms based on fuzzy \u03b4 rules for solving fuzzy relation equations: Part I","publication_year":1997,"publication_date":"1997-08-01","ids":{"openalex":"https://openalex.org/W2027437931","doi":"https://doi.org/10.1016/s0165-0114(96)00137-6","mag":"2027437931"},"language":"en","primary_location":{"id":"doi:10.1016/s0165-0114(96)00137-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-0114(96)00137-6","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets and Systems","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/A5076886940","display_name":"Xiaozhong Li","orcid":"https://orcid.org/0000-0002-2911-7814"},"institutions":[{"id":"https://openalex.org/I4210114391","display_name":"Belgian Nuclear Research Centre","ror":"https://ror.org/020xs5r81","country_code":"BE","type":"facility","lineage":["https://openalex.org/I4210114391"]},{"id":"https://openalex.org/I4210090176","display_name":"Institute of Computing Technology","ror":"https://ror.org/0090r4d87","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210090176"]}],"countries":["BE","CN"],"is_corresponding":false,"raw_author_name":"Xiaozhong Li","raw_affiliation_strings":["National Research Center for Intelligent Computing Systems (NCIC), Institute of Computing Technology, Chinese Academia Science, P.O. Box 2704, Beijing 100080, China","Belgian Nuclear Research Centre (SCK\u2022CEN), Boeretang 200, B-2400 Mol, Belgium"],"affiliations":[{"raw_affiliation_string":"National Research Center for Intelligent Computing Systems (NCIC), Institute of Computing Technology, Chinese Academia Science, P.O. Box 2704, Beijing 100080, China","institution_ids":["https://openalex.org/I4210090176"]},{"raw_affiliation_string":"Belgian Nuclear Research Centre (SCK\u2022CEN), Boeretang 200, B-2400 Mol, Belgium","institution_ids":["https://openalex.org/I4210114391"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104092668","display_name":"Da Ruan","orcid":null},"institutions":[{"id":"https://openalex.org/I4210114391","display_name":"Belgian Nuclear Research Centre","ror":"https://ror.org/020xs5r81","country_code":"BE","type":"facility","lineage":["https://openalex.org/I4210114391"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Da Ruan","raw_affiliation_strings":["FLINS - Fuzzy Logic and Intelligent technologies in Nuclear Science, Nuclear Research Centre, Boeretang 200, B-2400 Mol, Belgium","Belgian Nuclear Research Centre (SCK\u2022CEN), Boeretang 200, B-2400 Mol, Belgium"],"affiliations":[{"raw_affiliation_string":"FLINS - Fuzzy Logic and Intelligent technologies in Nuclear Science, Nuclear Research Centre, Boeretang 200, B-2400 Mol, Belgium","institution_ids":["https://openalex.org/I4210114391"]},{"raw_affiliation_string":"Belgian Nuclear Research Centre (SCK\u2022CEN), Boeretang 200, B-2400 Mol, Belgium","institution_ids":["https://openalex.org/I4210114391"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5104092668"],"corresponding_institution_ids":["https://openalex.org/I4210114391"],"apc_list":{"value":2600,"currency":"USD","value_usd":2600},"apc_paid":null,"fwci":2.4163,"has_fulltext":false,"cited_by_count":51,"citation_normalized_percentile":{"value":0.89533565,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"90","issue":"1","first_page":"11","last_page":"23"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9994000196456909,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9994000196456909,"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/T10320","display_name":"Neural Networks and Applications","score":0.9855999946594238,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9728999733924866,"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/equivalence-relation","display_name":"Equivalence relation","score":0.6362409591674805},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6261931657791138},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6164463758468628},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.615402340888977},{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.6092065572738647},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5457238554954529},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5452514290809631},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.49644333124160767},{"id":"https://openalex.org/keywords/neuro-fuzzy","display_name":"Neuro-fuzzy","score":0.492575466632843},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.46200013160705566},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.4587460160255432},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.45353177189826965},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.4514540433883667},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.4171158969402313},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3622891902923584},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35463014245033264},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.33906465768814087},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.31814682483673096},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.19214439392089844},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.13414883613586426},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.06671908497810364}],"concepts":[{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.6362409591674805},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6261931657791138},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6164463758468628},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.615402340888977},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.6092065572738647},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5457238554954529},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5452514290809631},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.49644333124160767},{"id":"https://openalex.org/C29470771","wikidata":"https://www.wikidata.org/wiki/Q4165150","display_name":"Neuro-fuzzy","level":4,"score":0.492575466632843},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.46200013160705566},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4587460160255432},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.45353177189826965},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.4514540433883667},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.4171158969402313},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3622891902923584},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35463014245033264},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.33906465768814087},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.31814682483673096},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.19214439392089844},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.13414883613586426},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.06671908497810364},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0165-0114(96)00137-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-0114(96)00137-6","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets and Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W10519600","https://openalex.org/W1492076504","https://openalex.org/W1898259180","https://openalex.org/W1964468250","https://openalex.org/W1977000157","https://openalex.org/W2009163533","https://openalex.org/W2012611887","https://openalex.org/W2012699929","https://openalex.org/W2015701733","https://openalex.org/W2019899603","https://openalex.org/W2038907829","https://openalex.org/W2051220667","https://openalex.org/W2061821032","https://openalex.org/W2070693532","https://openalex.org/W2090700466","https://openalex.org/W2094928611","https://openalex.org/W2111912380","https://openalex.org/W2124752945","https://openalex.org/W4232146167","https://openalex.org/W4239477947","https://openalex.org/W6600437014"],"related_works":["https://openalex.org/W2061828243","https://openalex.org/W74364172","https://openalex.org/W1493159477","https://openalex.org/W1967710160","https://openalex.org/W1975773326","https://openalex.org/W1965632496","https://openalex.org/W1578762159","https://openalex.org/W2154887770","https://openalex.org/W3184766525","https://openalex.org/W1536166800"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}