{"id":"https://openalex.org/W3209413927","doi":"https://doi.org/10.1007/978-3-030-82099-2_22","title":"A-Cross Product for Autocorrelated Fuzzy Processes: The Hutchinson Equation","display_name":"A-Cross Product for Autocorrelated Fuzzy Processes: The Hutchinson Equation","publication_year":2021,"publication_date":"2021-07-28","ids":{"openalex":"https://openalex.org/W3209413927","doi":"https://doi.org/10.1007/978-3-030-82099-2_22","mag":"3209413927"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-82099-2_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-82099-2_22","pdf_url":null,"source":{"id":"https://openalex.org/S4210169156","display_name":"Lecture notes in networks and systems","issn_l":"2367-3370","issn":["2367-3370","2367-3389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Networks and Systems","raw_type":"book-chapter"},"type":"book-chapter","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/A5001888085","display_name":"Felipe Longo","orcid":"https://orcid.org/0000-0002-2868-3937"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Felipe Longo","raw_affiliation_strings":["Institute of Mathematics, Statistics and Scientific Computing, University of Campinas, Campinas, Brazil"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Statistics and Scientific Computing, University of Campinas, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036304475","display_name":"Beatriz Laiate","orcid":"https://orcid.org/0000-0002-7312-4843"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Beatriz Laiate","raw_affiliation_strings":["Institute of Mathematics, Statistics and Scientific Computing, University of Campinas, Campinas, Brazil"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Statistics and Scientific Computing, University of Campinas, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077298421","display_name":"Francielle Santo Pedro","orcid":"https://orcid.org/0000-0001-5177-563X"},"institutions":[{"id":"https://openalex.org/I88273585","display_name":"Universidade Federal de S\u00e3o Paulo","ror":"https://ror.org/02k5swt12","country_code":"BR","type":"education","lineage":["https://openalex.org/I88273585"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Francielle Santo Pedro","raw_affiliation_strings":["Multidisciplinary Department, Federal University of S\u00e3o Paulo, Osasco, Brazil"],"affiliations":[{"raw_affiliation_string":"Multidisciplinary Department, Federal University of S\u00e3o Paulo, Osasco, Brazil","institution_ids":["https://openalex.org/I88273585"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030902597","display_name":"Estev\u00e3o Esmi","orcid":"https://orcid.org/0000-0001-6719-678X"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Estev\u00e3o Esmi","raw_affiliation_strings":["Institute of Mathematics, Statistics and Scientific Computing, University of Campinas, Campinas, Brazil"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Statistics and Scientific Computing, University of Campinas, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073690771","display_name":"La\u00e9cio Carvalho de Barros","orcid":"https://orcid.org/0000-0003-4322-5974"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"La\u00e9cio C. Barros","raw_affiliation_strings":["Institute of Mathematics, Statistics and Scientific Computing, University of Campinas, Campinas, Brazil"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Statistics and Scientific Computing, University of Campinas, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015749813","display_name":"Jo\u00e3o Frederico da Costa Azevedo Meyer","orcid":"https://orcid.org/0000-0001-8002-7075"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Jo\u00e3o F. C. A. Meyer","raw_affiliation_strings":["Institute of Mathematics, Statistics and Scientific Computing, University of Campinas, Campinas, Brazil"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Statistics and Scientific Computing, University of Campinas, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5001888085"],"corresponding_institution_ids":["https://openalex.org/I181391015"],"apc_list":null,"apc_paid":null,"fwci":11.0799,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.98661417,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"241","last_page":"252"},"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":0.9951000213623047,"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":0.9850999712944031,"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/multiplication","display_name":"Multiplication (music)","score":0.7952661514282227},{"id":"https://openalex.org/keywords/autocorrelation","display_name":"Autocorrelation","score":0.7048214673995972},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6734758615493774},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6359177827835083},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.547741174697876},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5189864039421082},{"id":"https://openalex.org/keywords/logistic-function","display_name":"Logistic function","score":0.5173196792602539},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5062248110771179},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4820355176925659},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.4763600826263428},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4332127869129181},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4295656085014343},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.36883053183555603},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.32465660572052},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27637743949890137},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15681150555610657},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11894822120666504},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.06892511248588562}],"concepts":[{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.7952661514282227},{"id":"https://openalex.org/C5297727","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation","level":2,"score":0.7048214673995972},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6734758615493774},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6359177827835083},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.547741174697876},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5189864039421082},{"id":"https://openalex.org/C180802074","wikidata":"https://www.wikidata.org/wiki/Q1052379","display_name":"Logistic function","level":2,"score":0.5173196792602539},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5062248110771179},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4820355176925659},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.4763600826263428},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4332127869129181},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4295656085014343},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.36883053183555603},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.32465660572052},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27637743949890137},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15681150555610657},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11894822120666504},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.06892511248588562},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-82099-2_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-82099-2_22","pdf_url":null,"source":{"id":"https://openalex.org/S4210169156","display_name":"Lecture notes in networks and systems","issn_l":"2367-3370","issn":["2367-3370","2367-3389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Networks and Systems","raw_type":"book-chapter"}],"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/W565587792","https://openalex.org/W1504779175","https://openalex.org/W1928951487","https://openalex.org/W1979756370","https://openalex.org/W2010961386","https://openalex.org/W2036374024","https://openalex.org/W2038354216","https://openalex.org/W2039930791","https://openalex.org/W2143364083","https://openalex.org/W2159804191","https://openalex.org/W2336761277","https://openalex.org/W2518951547","https://openalex.org/W2781680068","https://openalex.org/W2801331471","https://openalex.org/W2810940064","https://openalex.org/W2908052932","https://openalex.org/W2950346969","https://openalex.org/W2950942872","https://openalex.org/W2977249882","https://openalex.org/W3033078619","https://openalex.org/W3033322927","https://openalex.org/W4285765153","https://openalex.org/W6672285028","https://openalex.org/W6826568678"],"related_works":["https://openalex.org/W4206081075","https://openalex.org/W2128053805","https://openalex.org/W2385515646","https://openalex.org/W4242275735","https://openalex.org/W2075305841","https://openalex.org/W3198806084","https://openalex.org/W2121560876","https://openalex.org/W2366385051","https://openalex.org/W2037428035","https://openalex.org/W2048452567"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
