{"id":"https://openalex.org/W2135557549","doi":"https://doi.org/10.1109/fuzzy.2009.5277411","title":"Type-reduction of the discretised interval type-2 fuzzy set","display_name":"Type-reduction of the discretised interval type-2 fuzzy set","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W2135557549","doi":"https://doi.org/10.1109/fuzzy.2009.5277411","mag":"2135557549"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2009.5277411","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2009.5277411","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Fuzzy Systems","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/A5076996004","display_name":"Sarah Greenfield","orcid":"https://orcid.org/0000-0002-9225-6411"},"institutions":[{"id":"https://openalex.org/I66943878","display_name":"De Montfort University","ror":"https://ror.org/0312pnr83","country_code":"GB","type":"education","lineage":["https://openalex.org/I66943878"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Sarah Greenfield","raw_affiliation_strings":["Centre of Computational Intelligence, De Montfort University, Leicester, UK","Centre for Computational Intelligence, De Montfort University, Leicester, LE1 9BH, UK"],"affiliations":[{"raw_affiliation_string":"Centre of Computational Intelligence, De Montfort University, Leicester, UK","institution_ids":["https://openalex.org/I66943878"]},{"raw_affiliation_string":"Centre for Computational Intelligence, De Montfort University, Leicester, LE1 9BH, UK","institution_ids":["https://openalex.org/I66943878"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001443974","display_name":"Francisco Chiclana","orcid":"https://orcid.org/0000-0002-3952-4210"},"institutions":[{"id":"https://openalex.org/I66943878","display_name":"De Montfort University","ror":"https://ror.org/0312pnr83","country_code":"GB","type":"education","lineage":["https://openalex.org/I66943878"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Francisco Chiclana","raw_affiliation_strings":["Centre of Computational Intelligence, De Montfort University, Leicester, UK","Centre for Computational Intelligence, De Montfort University, Leicester, LE1 9BH, UK"],"affiliations":[{"raw_affiliation_string":"Centre of Computational Intelligence, De Montfort University, Leicester, UK","institution_ids":["https://openalex.org/I66943878"]},{"raw_affiliation_string":"Centre for Computational Intelligence, De Montfort University, Leicester, LE1 9BH, UK","institution_ids":["https://openalex.org/I66943878"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091177679","display_name":"Robert John","orcid":"https://orcid.org/0000-0002-2341-9993"},"institutions":[{"id":"https://openalex.org/I66943878","display_name":"De Montfort University","ror":"https://ror.org/0312pnr83","country_code":"GB","type":"education","lineage":["https://openalex.org/I66943878"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Robert John","raw_affiliation_strings":["Centre of Computational Intelligence, De Montfort University, Leicester, UK","Centre for Computational Intelligence, De Montfort University, Leicester, LE1 9BH, UK"],"affiliations":[{"raw_affiliation_string":"Centre of Computational Intelligence, De Montfort University, Leicester, UK","institution_ids":["https://openalex.org/I66943878"]},{"raw_affiliation_string":"Centre for Computational Intelligence, De Montfort University, Leicester, LE1 9BH, UK","institution_ids":["https://openalex.org/I66943878"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5076996004"],"corresponding_institution_ids":["https://openalex.org/I66943878"],"apc_list":null,"apc_paid":null,"fwci":4.9679,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.95269908,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"738","last_page":"743"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9998000264167786,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9998000264167786,"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/T10320","display_name":"Neural Networks and Applications","score":0.9972000122070312,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9650999903678894,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6924086213111877},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.6419931054115295},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.611516535282135},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6055753827095032},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6015679240226746},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5548508763313293},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5051746964454651},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.46122199296951294},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44173628091812134},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.42428362369537354},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41144225001335144},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.410381942987442},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23484471440315247},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21961408853530884},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11950170993804932},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10494816303253174},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.100921630859375}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6924086213111877},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.6419931054115295},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.611516535282135},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6055753827095032},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6015679240226746},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5548508763313293},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5051746964454651},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.46122199296951294},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44173628091812134},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.42428362369537354},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41144225001335144},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.410381942987442},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23484471440315247},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21961408853530884},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11950170993804932},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10494816303253174},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.100921630859375},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/fuzzy.2009.5277411","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2009.5277411","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Fuzzy Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.977.6793","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.977.6793","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.baztech-02e282a9-23e7-4f56-8edf-10ebee6a326a/c/Greenfield_type_reduction.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.980.7264","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.980.7264","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.tech.dmu.ac.uk/%7Echiclana/publications/JAISCRsubmission.pdf","raw_type":"text"},{"id":"pmh:oai:dora.dmu.ac.uk:2086/3522","is_oa":false,"landing_page_url":"http://hdl.handle.net/2086/3522","pdf_url":null,"source":{"id":"https://openalex.org/S4306400394","display_name":"DMU Open Research Archive (De Montfort University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66943878","host_organization_name":"De Montfort University","host_organization_lineage":["https://openalex.org/I66943878"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W66521554","https://openalex.org/W113878345","https://openalex.org/W564030374","https://openalex.org/W1531079856","https://openalex.org/W1536718245","https://openalex.org/W1570082825","https://openalex.org/W1590962311","https://openalex.org/W1905024069","https://openalex.org/W1983658296","https://openalex.org/W2108225531","https://openalex.org/W2125631815","https://openalex.org/W2132885717","https://openalex.org/W2149604064","https://openalex.org/W2496338429","https://openalex.org/W4285719527","https://openalex.org/W4389030663","https://openalex.org/W6602663354","https://openalex.org/W6604586926","https://openalex.org/W6631795034","https://openalex.org/W6632232409","https://openalex.org/W6639706781","https://openalex.org/W6682133608"],"related_works":["https://openalex.org/W2193902272","https://openalex.org/W3217459150","https://openalex.org/W2047629620","https://openalex.org/W1536354561","https://openalex.org/W4200053504","https://openalex.org/W4221159155","https://openalex.org/W2033403475","https://openalex.org/W111974911","https://openalex.org/W4226025949","https://openalex.org/W603486166"],"abstract_inverted_index":{"We":[0,38],"begin":[1],"by":[2],"surveying":[3],"the":[4,20,23,27,30,35,47,53,64,67,78],"available":[5],"strategies":[6],"for":[7],"type-reducing":[8],"a":[9,15,61],"discretised":[10],"type-2":[11],"fuzzy":[12,17],"set":[13],"to":[14,41,46,85],"type-1":[16],"set,":[18],"namely":[19],"exhaustive":[21],"method,":[22,29],"Karnik-Mendel":[24],"Iterative":[25],"Procedure,":[26],"sampling":[28],"Greenfield-Chiclana":[31],"Collapsing":[32],"Defuzzifier":[33],"and":[34,69,80,88],"Nie-Tan":[36,70,81],"method.":[37],"go":[39],"on":[40],"investigate":[42],"mathematically":[43],"what":[44],"happens":[45],"Representative":[48],"Embedded":[49],"Set":[50],"Approximation":[51],"as":[52],"domain":[54],"discretisation":[55],"becomes":[56],"finer.":[57],"This":[58],"leads":[59],"into":[60],"discussion":[62],"of":[63],"relationship":[65],"between":[66,77],"collapsing":[68,79],"methods.":[71],"An":[72],"experimental":[73],"comparison":[74],"is":[75],"made":[76],"methods,":[82],"with":[83],"respect":[84],"both":[86],"efficiency":[87],"accuracy.":[89]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
