{"id":"https://openalex.org/W2122427618","doi":"https://doi.org/10.1109/tfuzz.2002.1006441","title":"Simulation of random fuzzy variables: an empirical approach to statistical/probabilistic studies with fuzzy experimental data","display_name":"Simulation of random fuzzy variables: an empirical approach to statistical/probabilistic studies with fuzzy experimental data","publication_year":2002,"publication_date":"2002-06-01","ids":{"openalex":"https://openalex.org/W2122427618","doi":"https://doi.org/10.1109/tfuzz.2002.1006441","mag":"2122427618"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2002.1006441","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2002.1006441","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy 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/A5069452183","display_name":"Ana Colubi","orcid":null},"institutions":[{"id":"https://openalex.org/I165339363","display_name":"Universidad de Oviedo","ror":"https://ror.org/006gksa02","country_code":"ES","type":"education","lineage":["https://openalex.org/I165339363"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"A. Colubi","raw_affiliation_strings":["Departamento de Estad\u00edstica e I.O. y D.M, Universidad de Oviedo, Oviedo, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Estad\u00edstica e I.O. y D.M, Universidad de Oviedo, Oviedo, Spain","institution_ids":["https://openalex.org/I165339363"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110220699","display_name":"C. Fernandez-Garcia","orcid":null},"institutions":[{"id":"https://openalex.org/I165339363","display_name":"Universidad de Oviedo","ror":"https://ror.org/006gksa02","country_code":"ES","type":"education","lineage":["https://openalex.org/I165339363"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"C. Fernandez-Garcia","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidad de Oviedo, Oviedo, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad de Oviedo, Oviedo, Spain","institution_ids":["https://openalex.org/I165339363"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018367525","display_name":"Mar\u0131\u0301a \u00c1ngeles Gil","orcid":"https://orcid.org/0000-0003-0096-104X"},"institutions":[{"id":"https://openalex.org/I165339363","display_name":"Universidad de Oviedo","ror":"https://ror.org/006gksa02","country_code":"ES","type":"education","lineage":["https://openalex.org/I165339363"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M.A. Gil","raw_affiliation_strings":["Departamento de Estad\u00edstica e I.O. y D.M, Universidad de Oviedo, Oviedo, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Estad\u00edstica e I.O. y D.M, Universidad de Oviedo, Oviedo, Spain","institution_ids":["https://openalex.org/I165339363"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1549,"has_fulltext":false,"cited_by_count":61,"citation_normalized_percentile":{"value":0.80826298,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"10","issue":"3","first_page":"384","last_page":"390"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9993000030517578,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9894000291824341,"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/mathematics","display_name":"Mathematics","score":0.5800389051437378},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5746423602104187},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.5402382016181946},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5142054557800293},{"id":"https://openalex.org/keywords/central-limit-theorem","display_name":"Central limit theorem","score":0.45703187584877014},{"id":"https://openalex.org/keywords/convergence-of-random-variables","display_name":"Convergence of random variables","score":0.4216853082180023},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37439996004104614},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.36123472452163696},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.33904948830604553},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33710572123527527},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33497896790504456},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2684617042541504}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5800389051437378},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5746423602104187},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5402382016181946},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5142054557800293},{"id":"https://openalex.org/C166785042","wikidata":"https://www.wikidata.org/wiki/Q190391","display_name":"Central limit theorem","level":2,"score":0.45703187584877014},{"id":"https://openalex.org/C95763700","wikidata":"https://www.wikidata.org/wiki/Q578985","display_name":"Convergence of random variables","level":3,"score":0.4216853082180023},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37439996004104614},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.36123472452163696},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.33904948830604553},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33710572123527527},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33497896790504456},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2684617042541504}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2002.1006441","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2002.1006441","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7400000095367432,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W6791182","https://openalex.org/W32440672","https://openalex.org/W129153638","https://openalex.org/W152555923","https://openalex.org/W1483175286","https://openalex.org/W1508490661","https://openalex.org/W1607789910","https://openalex.org/W1922967241","https://openalex.org/W1977914365","https://openalex.org/W1986214008","https://openalex.org/W1986282271","https://openalex.org/W1987828658","https://openalex.org/W1994949758","https://openalex.org/W1999563339","https://openalex.org/W1999697669","https://openalex.org/W2000906029","https://openalex.org/W2001017960","https://openalex.org/W2005094217","https://openalex.org/W2008510358","https://openalex.org/W2009721924","https://openalex.org/W2011811434","https://openalex.org/W2020610055","https://openalex.org/W2021244475","https://openalex.org/W2038190934","https://openalex.org/W2049808599","https://openalex.org/W2052261629","https://openalex.org/W2059228993","https://openalex.org/W2062588968","https://openalex.org/W2067924597","https://openalex.org/W2071107631","https://openalex.org/W2072256517","https://openalex.org/W2132885768","https://openalex.org/W2157041604","https://openalex.org/W2166455866","https://openalex.org/W2598771954","https://openalex.org/W4245152641","https://openalex.org/W4254535626","https://openalex.org/W4255250622","https://openalex.org/W6601287226"],"related_works":["https://openalex.org/W2325559318","https://openalex.org/W4231167465","https://openalex.org/W4246456327","https://openalex.org/W2299016414","https://openalex.org/W1908930887","https://openalex.org/W1825355621","https://openalex.org/W1890075812","https://openalex.org/W2414029657","https://openalex.org/W4251533179","https://openalex.org/W2032023312"],"abstract_inverted_index":{"In":[0],"this":[1,75],"paper,":[2],"we":[3,84],"simulate":[4],"different":[5],"types":[6],"of":[7,32,36,48,58,64],"random":[8,17,50],"fuzzy":[9,38,51,101],"variables":[10],"to":[11,24,40],"get":[12],"some":[13],"conclusions":[14],"concerning":[15],"fuzzy-valued":[16],"variables.":[18],"This":[19],"simulation":[20,76],"was":[21],"carried":[22],"out":[23],"illustrate":[25],"certain":[26],"limit":[27],"results":[28,70],"formalizing":[29],"the":[30,33,41,49,54,62,68],"convergence":[31],"arithmetic":[34],"mean":[35,43],"sampled":[37],"data":[39,102],"population":[42],"(or":[44],"an":[45],"expected":[46],"value":[47],"variable),":[52],"like":[53],"well-known":[55],"strong":[56],"law":[57,63],"large":[59],"numbers":[60],"and":[61,103],"iterated":[65],"logarithm.":[66],"Since":[67],"theoretical":[69],"have":[71],"recently":[72],"been":[73],"proved,":[74],"analysis":[77],"represents":[78],"a":[79],"complementary":[80],"study":[81],"in":[82],"which":[83],"can":[85],"determine":[86],"sample":[87],"sizes":[88],"providing":[89],"us":[90],"with":[91,100],"suitable":[92],"approximations.":[93],"Finally,":[94],"future":[95],"directions":[96],"regarding":[97],"statistical":[98],"inference":[99],"other":[104],"applications":[105],"are":[106],"commented.":[107]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":7}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}