{"id":"https://openalex.org/W2074919225","doi":"https://doi.org/10.1109/fuzz-ieee.2014.6891643","title":"Closed form fuzzy interpolation with interval type-2 fuzzy sets","display_name":"Closed form fuzzy interpolation with interval type-2 fuzzy sets","publication_year":2014,"publication_date":"2014-07-01","ids":{"openalex":"https://openalex.org/W2074919225","doi":"https://doi.org/10.1109/fuzz-ieee.2014.6891643","mag":"2074919225"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2014.6891643","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2014.6891643","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","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/A5065079117","display_name":"Longzhi Yang","orcid":"https://orcid.org/0000-0003-2115-4909"},"institutions":[{"id":"https://openalex.org/I32394136","display_name":"Northumbria University","ror":"https://ror.org/049e6bc10","country_code":"GB","type":"education","lineage":["https://openalex.org/I32394136"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Longzhi Yang","raw_affiliation_strings":["Department of Computer Science and Digital Technologies, Northumbria University, Newcastle upon Tyne, UK","[Department of Computer Science and Digital Technologies, Faculty of Engineering and Environment, Northumbria University, Newcastle upon Tyne, UK]"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Digital Technologies, Northumbria University, Newcastle upon Tyne, UK","institution_ids":["https://openalex.org/I32394136"]},{"raw_affiliation_string":"[Department of Computer Science and Digital Technologies, Faculty of Engineering and Environment, Northumbria University, Newcastle upon Tyne, UK]","institution_ids":["https://openalex.org/I32394136"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115589986","display_name":"Chengyuan Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I16038530","display_name":"Aberystwyth University","ror":"https://ror.org/015m2p889","country_code":"GB","type":"education","lineage":["https://openalex.org/I16038530"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Chengyuan Chen","raw_affiliation_strings":["Department of Computer Science, Aberystwyth University, Aberystwyth, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Aberystwyth University, Aberystwyth, UK","institution_ids":["https://openalex.org/I16038530"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080650523","display_name":"Nanlin Jin","orcid":"https://orcid.org/0000-0002-0990-6381"},"institutions":[{"id":"https://openalex.org/I32394136","display_name":"Northumbria University","ror":"https://ror.org/049e6bc10","country_code":"GB","type":"education","lineage":["https://openalex.org/I32394136"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Nanlin Jin","raw_affiliation_strings":["Department of Computer Science and Digital Technologies, Northumbria University, Newcastle upon Tyne, UK","[Department of Computer Science and Digital Technologies, Faculty of Engineering and Environment, Northumbria University, Newcastle upon Tyne, UK]"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Digital Technologies, Northumbria University, Newcastle upon Tyne, UK","institution_ids":["https://openalex.org/I32394136"]},{"raw_affiliation_string":"[Department of Computer Science and Digital Technologies, Faculty of Engineering and Environment, Northumbria University, Newcastle upon Tyne, UK]","institution_ids":["https://openalex.org/I32394136"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068016934","display_name":"Xin Fu","orcid":"https://orcid.org/0000-0003-4015-0778"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Fu","raw_affiliation_strings":["Management School, Xiamen University, Xiamen, China","Management School, Xiamen University,Xiamen,China"],"affiliations":[{"raw_affiliation_string":"Management School, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]},{"raw_affiliation_string":"Management School, Xiamen University,Xiamen,China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036010787","display_name":"Qiang Shen","orcid":"https://orcid.org/0000-0001-9333-4605"},"institutions":[{"id":"https://openalex.org/I16038530","display_name":"Aberystwyth University","ror":"https://ror.org/015m2p889","country_code":"GB","type":"education","lineage":["https://openalex.org/I16038530"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Qiang Shen","raw_affiliation_strings":["Department of Computer Science, Aberystwyth University, Aberystwyth, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Aberystwyth University, Aberystwyth, UK","institution_ids":["https://openalex.org/I16038530"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5065079117"],"corresponding_institution_ids":["https://openalex.org/I32394136"],"apc_list":null,"apc_paid":null,"fwci":5.4862,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.95857462,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"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":0.9943000078201294,"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":0.991599977016449,"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/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.7170989513397217},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.7012181878089905},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.6754462718963623},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.6710319519042969},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6113668084144592},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6000885963439941},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.5854073762893677},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5610776543617249},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5373472571372986},{"id":"https://openalex.org/keywords/fuzzy-rule","display_name":"Fuzzy rule","score":0.4498247504234314},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4461013972759247},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.42577147483825684},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42413267493247986},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4178473949432373},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.343703031539917},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3348360061645508},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.312412828207016}],"concepts":[{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.7170989513397217},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.7012181878089905},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.6754462718963623},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.6710319519042969},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6113668084144592},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6000885963439941},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.5854073762893677},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5610776543617249},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5373472571372986},{"id":"https://openalex.org/C2780049643","wikidata":"https://www.wikidata.org/wiki/Q5511139","display_name":"Fuzzy rule","level":4,"score":0.4498247504234314},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4461013972759247},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.42577147483825684},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42413267493247986},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4178473949432373},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.343703031539917},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3348360061645508},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.312412828207016},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/fuzz-ieee.2014.6891643","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2014.6891643","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"},{"id":"pmh:oai:nrl.northumbria.ac.uk:18474","is_oa":false,"landing_page_url":"http://nrl.northumbria.ac.uk/18474/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401884","display_name":"Northumbria Research Link (Northumbria University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32394136","host_organization_name":"Northumbria University","host_organization_lineage":["https://openalex.org/I32394136"],"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 or Workshop Item"},{"id":"pmh:oai:nrl.northumbria.ac.uk:22079","is_oa":false,"landing_page_url":"http://nrl.northumbria.ac.uk/id/eprint/22079/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401884","display_name":"Northumbria Research Link (Northumbria University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32394136","host_organization_name":"Northumbria University","host_organization_lineage":["https://openalex.org/I32394136"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1884084180","https://openalex.org/W1965506623","https://openalex.org/W1985262089","https://openalex.org/W1986230769","https://openalex.org/W1991358523","https://openalex.org/W1992021188","https://openalex.org/W2001242094","https://openalex.org/W2010301304","https://openalex.org/W2013198395","https://openalex.org/W2026829949","https://openalex.org/W2038683228","https://openalex.org/W2041280856","https://openalex.org/W2058379370","https://openalex.org/W2103127765","https://openalex.org/W2105234323","https://openalex.org/W2112486431","https://openalex.org/W2117496317","https://openalex.org/W2122475393","https://openalex.org/W2126120381","https://openalex.org/W2131706225","https://openalex.org/W2132885717","https://openalex.org/W2134138371","https://openalex.org/W2135848366","https://openalex.org/W2136760654","https://openalex.org/W2141178894","https://openalex.org/W2149002934","https://openalex.org/W2150654499","https://openalex.org/W2166593799","https://openalex.org/W4245152641","https://openalex.org/W6646548672"],"related_works":["https://openalex.org/W2674573885","https://openalex.org/W1487720066","https://openalex.org/W2781808531","https://openalex.org/W4361984403","https://openalex.org/W1975005191","https://openalex.org/W2145270521","https://openalex.org/W2791187250","https://openalex.org/W3186561448","https://openalex.org/W2066929655","https://openalex.org/W2025902904"],"abstract_inverted_index":{"Fuzzy":[0],"rule":[1,8,94],"interpolation":[2,36,95,112],"enables":[3],"fuzzy":[4,35,78,93,99,111],"inference":[5,12],"with":[6,117,123],"sparse":[7],"bases":[9],"by":[10,21,75],"interpolating":[11],"results,":[13],"and":[14,121],"may":[15],"help":[16],"to":[17,115],"reduce":[18],"system":[19],"complexity":[20],"removing":[22],"similar":[23],"(often":[24],"redundant)":[25],"neighbouring":[26],"rules.":[27],"In":[28,101],"particular,":[29],"the":[30,51,55,65,90,107],"recently":[31],"proposed":[32],"closed":[33,48,91,109],"form":[34,92,110],"offers":[37],"a":[38,47],"unique":[39],"approach":[40],"which":[41],"guarantees":[42],"convex":[43],"interpolated":[44],"results":[45],"in":[46,53,106,119],"form.":[49],"However,":[50],"difficulty":[52],"defining":[54],"required":[56],"precise-valued":[57],"membership":[58,82],"functions":[59,83],"still":[60],"poses":[61],"significant":[62],"restrictions":[63],"over":[64],"applicability":[66],"of":[67],"this":[68,102],"approach.":[69],"Such":[70],"limitations":[71],"can":[72],"be":[73],"alleviated":[74],"employing":[76],"type-2":[77,98],"sets":[79],"as":[80,104],"their":[81],"are":[84],"themselves":[85],"fuzzy.":[86],"This":[87],"paper":[88],"extends":[89],"using":[96],"interval":[97],"sets.":[100],"way,":[103],"illustrated":[105],"experiments,":[108],"is":[113],"able":[114],"deal":[116],"uncertainty":[118],"data":[120],"knowledge":[122],"more":[124],"flexibility.":[125]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":6}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}