{"id":"https://openalex.org/W2171133129","doi":"https://doi.org/10.1109/fuzz.2001.1008963","title":"Small-sample quantization effects on the equilibrium behavior of combined fuzzy cognitive maps","display_name":"Small-sample quantization effects on the equilibrium behavior of combined fuzzy cognitive maps","publication_year":2002,"publication_date":"2002-11-14","ids":{"openalex":"https://openalex.org/W2171133129","doi":"https://doi.org/10.1109/fuzz.2001.1008963","mag":"2171133129"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz.2001.1008963","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz.2001.1008963","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297)","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/A5016162175","display_name":"Rod Taber","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"R. Taber","raw_affiliation_strings":["Ring Technology, La Vale, MD, USA"],"affiliations":[{"raw_affiliation_string":"Ring Technology, La Vale, MD, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072431554","display_name":"Ronald R. Yager","orcid":"https://orcid.org/0000-0003-2938-1858"},"institutions":[{"id":"https://openalex.org/I173466955","display_name":"Iona College","ror":"https://ror.org/00m79dm66","country_code":"US","type":"education","lineage":["https://openalex.org/I173466955"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R.R. Yager","raw_affiliation_strings":["Machine Intelligence Institute, Iona College, New Rochelle, NY, USA"],"affiliations":[{"raw_affiliation_string":"Machine Intelligence Institute, Iona College, New Rochelle, NY, USA","institution_ids":["https://openalex.org/I173466955"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016260778","display_name":"Cathy M. Helgason","orcid":null},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C.M. Helgason","raw_affiliation_strings":["Department of Neurology, University of Illinois, Chicago, IL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Neurology, University of Illinois, Chicago, IL, USA","institution_ids":["https://openalex.org/I39422238"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5016162175"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4169,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.72186098,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2","issue":null,"first_page":"1567","last_page":"1572"},"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fuzzy-cognitive-map","display_name":"Fuzzy cognitive map","score":0.6730053424835205},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5097600817680359},{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.5058181285858154},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.49113866686820984},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4283994436264038},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.42169252038002014},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3840635418891907},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.36078503727912903},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31496673822402954},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.22317975759506226}],"concepts":[{"id":"https://openalex.org/C5041914","wikidata":"https://www.wikidata.org/wiki/Q5511107","display_name":"Fuzzy cognitive map","level":5,"score":0.6730053424835205},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5097600817680359},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.5058181285858154},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.49113866686820984},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4283994436264038},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.42169252038002014},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3840635418891907},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36078503727912903},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31496673822402954},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.22317975759506226}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz.2001.1008963","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz.2001.1008963","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7200000286102295}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W338388561","https://openalex.org/W1484414463","https://openalex.org/W1490891821","https://openalex.org/W1561609933","https://openalex.org/W1568761874","https://openalex.org/W1593566392","https://openalex.org/W1648198714","https://openalex.org/W1839451654","https://openalex.org/W1928544931","https://openalex.org/W1965239040","https://openalex.org/W1965901702","https://openalex.org/W1976506126","https://openalex.org/W1987116830","https://openalex.org/W2024056684","https://openalex.org/W2035366047","https://openalex.org/W2036242127","https://openalex.org/W2036305333","https://openalex.org/W2038148908","https://openalex.org/W2041210869","https://openalex.org/W2047963742","https://openalex.org/W2052189439","https://openalex.org/W2057279444","https://openalex.org/W2060907774","https://openalex.org/W2063807274","https://openalex.org/W2071782633","https://openalex.org/W2095224843","https://openalex.org/W2103613587","https://openalex.org/W2103841370","https://openalex.org/W2120724205","https://openalex.org/W2128146576","https://openalex.org/W2137812488","https://openalex.org/W2154808409","https://openalex.org/W2158284104","https://openalex.org/W2175160295","https://openalex.org/W2592496674","https://openalex.org/W6633629695","https://openalex.org/W6659517344"],"related_works":["https://openalex.org/W2063798559","https://openalex.org/W2991207020","https://openalex.org/W2145925682","https://openalex.org/W1661487699","https://openalex.org/W2372922208","https://openalex.org/W1491151750","https://openalex.org/W2047490267","https://openalex.org/W2777396095","https://openalex.org/W2617561368","https://openalex.org/W2747524643"],"abstract_inverted_index":{"Fuzzy":[0],"cognitive":[1],"maps":[2],"(FCMs)":[3],"allow":[4],"experts":[5,52],"to":[6,35,53,82,105,149],"express":[7],"their":[8,20,55],"knowledge":[9,21,57,178],"by":[10,22],"drawing":[11],"weighted":[12],"causal":[13,27,63,91],"digraphs.":[14],"Experts":[15],"can":[16,40,126,169],"pool":[17],"or":[18,68,161],"fuse":[19],"adding":[23],"the":[24,32,59,73,84,90,106,110,116,123,143,158,173],"underlying":[25],"FCM":[26],"matrices.":[28],"This":[29],"naturally":[30],"extends":[31],"ordered-weighted-averaging":[33],"technique":[34],"averaging":[36],"dynamical":[37,43],"systems":[38,44],"and":[39,93,137],"create":[41],"complex":[42],"from":[45],"several":[46],"simpler":[47,60],"ones.":[48],"Edge":[49],"quantization":[50,163],"allows":[51],"state":[54],"real-valued":[56],"in":[58,113],"terms":[61],"of":[62,79,87,109,119,130,146,176],"increase":[64],"(1),":[65],"decrease":[66],"(-1),":[67],"absence":[69],"(0).":[70],"We":[71,133],"model":[72,172],"expert":[74],"FCMs":[75],"as":[76,157],"a":[77,138],"sequence":[78],"random":[80,100],"fields":[81],"study":[83],"small-sample":[85,124,153],"effects":[86],"quantizing":[88],"both":[89],"edges":[92],"fuzzy-set":[94,162],"concept":[95],"nodes.":[96],"The":[97],"averaged":[98],"quantized":[99],"matrices":[101,112],"exhibit":[102],"large-sample":[103],"convergence":[104],"population":[107],"means":[108],"unquantized":[111],"accordance":[114],"with":[115],"strong":[117],"law":[118],"large":[120],"numbers,":[121],"but":[122],"averages":[125],"show":[127,150],"substantial":[128],"diversity":[129,155],"equilibrium":[131,154,174],"attractors.":[132],"use":[134],"statistical":[135],"tests":[136],"novel":[139],"measure":[140],"based":[141],"on":[142],"fuzzy":[144],"equality":[145],"limit-cycle":[147],"histograms":[148],"that":[151],"this":[152],"increases":[156],"node":[159],"multivalence":[160],"increases.":[164],"More":[165],"realistic":[166],"probabilistic":[167],"assumptions":[168],"more":[170],"accurately":[171],"behavior":[175],"large-scale":[177],"fusion.":[179]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
