{"id":"https://openalex.org/W2158646574","doi":"https://doi.org/10.1109/fuzzy.2004.1375532","title":"Algorithms of multilevel synthesis of fuzzy functions","display_name":"Algorithms of multilevel synthesis of fuzzy functions","publication_year":2005,"publication_date":"2005-02-28","ids":{"openalex":"https://openalex.org/W2158646574","doi":"https://doi.org/10.1109/fuzzy.2004.1375532","mag":"2158646574"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2004.1375532","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2004.1375532","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542)","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/A5054795091","display_name":"Andrzej Wielgus","orcid":"https://orcid.org/0000-0002-0352-6732"},"institutions":[{"id":"https://openalex.org/I108403487","display_name":"Warsaw University of Technology","ror":"https://ror.org/00y0xnp53","country_code":"PL","type":"education","lineage":["https://openalex.org/I108403487"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"A. Wielgus","raw_affiliation_strings":["Institute of Microelectronics and Optoelectronics, Warsaw University of Technology, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Microelectronics and Optoelectronics, Warsaw University of Technology, Warsaw, Poland","institution_ids":["https://openalex.org/I108403487"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5054795091"],"corresponding_institution_ids":["https://openalex.org/I108403487"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.23180638,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2","issue":null,"first_page":"929","last_page":"934"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14438","display_name":"Advanced Scientific Research Methods","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1106","display_name":"Food Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T14438","display_name":"Advanced Scientific Research Methods","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1106","display_name":"Food Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.9976999759674072,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9969000220298767,"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-logic","display_name":"Fuzzy logic","score":0.7501904964447021},{"id":"https://openalex.org/keywords/fuzzy-associative-matrix","display_name":"Fuzzy associative matrix","score":0.6538874506950378},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.5437684059143066},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.5173484683036804},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5117821097373962},{"id":"https://openalex.org/keywords/neuro-fuzzy","display_name":"Neuro-fuzzy","score":0.492497056722641},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.46399709582328796},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.45822107791900635},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.44873034954071045},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.4420003890991211},{"id":"https://openalex.org/keywords/fuzzy-electronics","display_name":"Fuzzy electronics","score":0.4236640930175781},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.416368305683136},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41166073083877563},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4036283791065216},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.3900877833366394},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.38876962661743164},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3752945363521576},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.303977906703949},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.13950416445732117},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11095261573791504}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.7501904964447021},{"id":"https://openalex.org/C144170203","wikidata":"https://www.wikidata.org/wiki/Q5511099","display_name":"Fuzzy associative matrix","level":5,"score":0.6538874506950378},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5437684059143066},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.5173484683036804},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5117821097373962},{"id":"https://openalex.org/C29470771","wikidata":"https://www.wikidata.org/wiki/Q4165150","display_name":"Neuro-fuzzy","level":4,"score":0.492497056722641},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.46399709582328796},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.45822107791900635},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.44873034954071045},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.4420003890991211},{"id":"https://openalex.org/C102805184","wikidata":"https://www.wikidata.org/wiki/Q5511117","display_name":"Fuzzy electronics","level":5,"score":0.4236640930175781},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.416368305683136},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41166073083877563},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4036283791065216},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3900877833366394},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.38876962661743164},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3752945363521576},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.303977906703949},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.13950416445732117},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11095261573791504},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzzy.2004.1375532","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2004.1375532","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1682972811","https://openalex.org/W1981416751","https://openalex.org/W1990039927","https://openalex.org/W1994083486","https://openalex.org/W2010056450","https://openalex.org/W2036887642","https://openalex.org/W2062074890","https://openalex.org/W2070135860","https://openalex.org/W2073751839","https://openalex.org/W2077278364","https://openalex.org/W2077420900","https://openalex.org/W2089082266","https://openalex.org/W2105794446","https://openalex.org/W2106950603","https://openalex.org/W2112710063","https://openalex.org/W2119414586","https://openalex.org/W2136108335","https://openalex.org/W2139199276","https://openalex.org/W2145063049","https://openalex.org/W2240479548","https://openalex.org/W2295582811","https://openalex.org/W4244264116","https://openalex.org/W4255437155","https://openalex.org/W6647720111"],"related_works":["https://openalex.org/W4242970302","https://openalex.org/W2571050636","https://openalex.org/W2618305119","https://openalex.org/W2184441312","https://openalex.org/W1952396636","https://openalex.org/W85606319","https://openalex.org/W2331106272","https://openalex.org/W173448675","https://openalex.org/W116041356","https://openalex.org/W2382615100"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,18,64,71],"new":[4,65],"method":[5],"of":[6,9,17,37,47,57,67,73,80],"multilevel":[7,78],"synthesis":[8],"fuzzy":[10,19,29,68,82],"functions":[11,30],"obtained":[12],"from":[13],"the":[14,28,35,45,55,74,76,81],"behavioural":[15],"description":[16],"system":[20],"being":[21],"implemented.":[22],"New":[23],"methodology":[24],"relies":[25],"on":[26,54],"representing":[27],"by":[31,63],"logic":[32],"expressions":[33],"in":[34],"form":[36],"polynomials,":[38],"which":[39,60],"can":[40],"be":[41],"transformed":[42],"according":[43],"to":[44],"rules":[46],"polynomial":[48],"algebra.":[49],"The":[50],"transformations":[51],"are":[52],"based":[53],"extraction":[56],"common":[58],"subexpressions,":[59],"is":[61,84],"supported":[62],"algorithm":[66],"division.":[69],"As":[70],"result":[72],"synthesis,":[75],"minimised":[77],"structure":[79],"cells":[83],"obtained.":[85]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
