{"id":"https://openalex.org/W2006553211","doi":"https://doi.org/10.1109/fskd.2007.529","title":"Stability Analysis of Fuzzy Hopfield Networks Based on Weakly Continuous T-Norms","display_name":"Stability Analysis of Fuzzy Hopfield Networks Based on Weakly Continuous T-Norms","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2006553211","doi":"https://doi.org/10.1109/fskd.2007.529","mag":"2006553211"},"language":"en","primary_location":{"id":"doi:10.1109/fskd.2007.529","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2007.529","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007)","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/A5100683869","display_name":"Chunlin Wang","orcid":"https://orcid.org/0000-0003-4675-1355"},"institutions":[{"id":"https://openalex.org/I52604927","display_name":"PLA Army Service Academy","ror":"https://ror.org/02syyrn67","country_code":"CN","type":"education","lineage":["https://openalex.org/I52604927"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chunlin Wang","raw_affiliation_strings":["Department of Foundation, Logistical Engineering University, Chongqing, China","Logistical Eng. Univ., Chongqing"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Foundation, Logistical Engineering University, Chongqing, China","institution_ids":["https://openalex.org/I52604927"]},{"raw_affiliation_string":"Logistical Eng. Univ., Chongqing","institution_ids":["https://openalex.org/I52604927"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100683869"],"corresponding_institution_ids":["https://openalex.org/I52604927"],"apc_list":null,"apc_paid":null,"fwci":0.2226,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.45174581,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":null,"first_page":"247","last_page":"251"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9944000244140625,"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/T10320","display_name":"Neural Networks and Applications","score":0.9944000244140625,"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/T13983","display_name":"Cybersecurity and Information Systems","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T14470","display_name":"Advanced Data Processing Techniques","score":0.9803000092506409,"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/hamming-distance","display_name":"Hamming distance","score":0.7449666261672974},{"id":"https://openalex.org/keywords/hopfield-network","display_name":"Hopfield network","score":0.7385272979736328},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.6371059417724609},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.6121695041656494},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.557593584060669},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5147197842597961},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5065242052078247},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.49953389167785645},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41691580414772034},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34700727462768555},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33071625232696533},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2961512804031372},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.27412495017051697},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13127142190933228},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.07912445068359375}],"concepts":[{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.7449666261672974},{"id":"https://openalex.org/C46421273","wikidata":"https://www.wikidata.org/wiki/Q1407668","display_name":"Hopfield network","level":3,"score":0.7385272979736328},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.6371059417724609},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.6121695041656494},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.557593584060669},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5147197842597961},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5065242052078247},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.49953389167785645},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41691580414772034},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34700727462768555},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33071625232696533},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2961512804031372},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27412495017051697},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13127142190933228},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.07912445068359375},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fskd.2007.529","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2007.529","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007)","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":28,"referenced_works":["https://openalex.org/W635200307","https://openalex.org/W652199914","https://openalex.org/W1964468250","https://openalex.org/W1978533808","https://openalex.org/W1996560121","https://openalex.org/W1997149905","https://openalex.org/W2027437931","https://openalex.org/W2039018525","https://openalex.org/W2040472624","https://openalex.org/W2050833874","https://openalex.org/W2066668705","https://openalex.org/W2068775019","https://openalex.org/W2068883966","https://openalex.org/W2069399444","https://openalex.org/W2070645442","https://openalex.org/W2070693532","https://openalex.org/W2075684747","https://openalex.org/W2079273758","https://openalex.org/W2083162126","https://openalex.org/W2095224843","https://openalex.org/W2097220942","https://openalex.org/W2099647936","https://openalex.org/W2113492749","https://openalex.org/W2129021863","https://openalex.org/W2155406607","https://openalex.org/W2371154124","https://openalex.org/W4244434629","https://openalex.org/W4255464899"],"related_works":["https://openalex.org/W2525520510","https://openalex.org/W3011334989","https://openalex.org/W4388853539","https://openalex.org/W2730255634","https://openalex.org/W1854857017","https://openalex.org/W2104537000","https://openalex.org/W4226257943","https://openalex.org/W2169911688","https://openalex.org/W2161666802","https://openalex.org/W1527087077"],"abstract_inverted_index":{"A":[0],"general":[1],"dynamical":[2],"fuzzy":[3,8,20],"neural":[4],"networks":[5,10],"model":[6,34],"-":[7],"Hopfield":[9],"with":[11,38],"threshold":[12],"is":[13,16,30,35,47],"developed,":[14],"which":[15],"based":[17],"on":[18],"the":[19,33,39],"operator":[21],"composition":[22],"of":[23],"max(v)":[24],"and":[25,42],"weakly":[26],"continuous":[27],"T-norms.":[28],"It":[29],"shown":[31],"that":[32],"global":[36],"stable":[37],"Hamming":[40],"distance,":[41],"its":[43],"equilibrium":[44],"point":[45],"(attractor)":[46],"Lyapunov":[48],"stable.":[49]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}