{"id":"https://openalex.org/W2747682658","doi":"https://doi.org/10.1109/fuzz-ieee.2017.8015724","title":"Type reduction techniques for two-dimensional interval type-2 fuzzy sets","display_name":"Type reduction techniques for two-dimensional interval type-2 fuzzy sets","publication_year":2017,"publication_date":"2017-07-01","ids":{"openalex":"https://openalex.org/W2747682658","doi":"https://doi.org/10.1109/fuzz-ieee.2017.8015724","mag":"2747682658"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2017.8015724","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2017.8015724","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 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/A5044459787","display_name":"Vaibhav Saxena","orcid":"https://orcid.org/0000-0002-7681-5033"},"institutions":[{"id":"https://openalex.org/I1317621060","display_name":"Indian Institute of Technology Guwahati","ror":"https://ror.org/0022nd079","country_code":"IN","type":"education","lineage":["https://openalex.org/I1317621060"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Vaibhav Saxena","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati, India","institution_ids":["https://openalex.org/I1317621060"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044073066","display_name":"Nikhil Yadala","orcid":null},"institutions":[{"id":"https://openalex.org/I1317621060","display_name":"Indian Institute of Technology Guwahati","ror":"https://ror.org/0022nd079","country_code":"IN","type":"education","lineage":["https://openalex.org/I1317621060"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Nikhil Yadala","raw_affiliation_strings":["Department of Computer Science and Engineering, Indian Institute of Technology Guwahati, Guwahati, India"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Indian Institute of Technology Guwahati, Guwahati, India","institution_ids":["https://openalex.org/I1317621060"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049298311","display_name":"Rishav Chourasia","orcid":"https://orcid.org/0000-0001-7975-0530"},"institutions":[{"id":"https://openalex.org/I1317621060","display_name":"Indian Institute of Technology Guwahati","ror":"https://ror.org/0022nd079","country_code":"IN","type":"education","lineage":["https://openalex.org/I1317621060"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rishav Chourasia","raw_affiliation_strings":["Indian Institute of Technology Guwahati, Guwahati, Assam, IN"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology Guwahati, Guwahati, Assam, IN","institution_ids":["https://openalex.org/I1317621060"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054500942","display_name":"Frank Chung-Hoon Rhee","orcid":"https://orcid.org/0000-0002-5563-0793"},"institutions":[{"id":"https://openalex.org/I4575257","display_name":"Hanyang University","ror":"https://ror.org/046865y68","country_code":"KR","type":"education","lineage":["https://openalex.org/I4575257"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Frank Chung-Hoon Rhee","raw_affiliation_strings":["Department of Electronics and Communication Engineering, Hanyang University, Ansan-Si, Korea"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Communication Engineering, Hanyang University, Ansan-Si, Korea","institution_ids":["https://openalex.org/I4575257"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5044459787"],"corresponding_institution_ids":["https://openalex.org/I1317621060"],"apc_list":null,"apc_paid":null,"fwci":0.39,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.70370731,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9467999935150146,"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":0.925000011920929,"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/reduction","display_name":"Reduction (mathematics)","score":0.6319679021835327},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5990806818008423},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5389000177383423},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5107631683349609},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4665655195713043},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4216790199279785},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3944284915924072},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.34615808725357056},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2763618230819702},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16599041223526},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.062242358922958374},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05761522054672241}],"concepts":[{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6319679021835327},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5990806818008423},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5389000177383423},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5107631683349609},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4665655195713043},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4216790199279785},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3944284915924072},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.34615808725357056},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2763618230819702},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16599041223526},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.062242358922958374},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05761522054672241},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz-ieee.2017.8015724","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2017.8015724","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W928861065","https://openalex.org/W1161718774","https://openalex.org/W1647100323","https://openalex.org/W1968026678","https://openalex.org/W1983658296","https://openalex.org/W2008236193","https://openalex.org/W2013858655","https://openalex.org/W2028913051","https://openalex.org/W2049158166","https://openalex.org/W2092046096","https://openalex.org/W2099836385","https://openalex.org/W2103232511","https://openalex.org/W2103535990","https://openalex.org/W2109395670","https://openalex.org/W2111361149","https://openalex.org/W2128251760","https://openalex.org/W2144451432","https://openalex.org/W2165396372","https://openalex.org/W2169966872","https://openalex.org/W2170481215","https://openalex.org/W2297028316","https://openalex.org/W2559810475","https://openalex.org/W4237236578","https://openalex.org/W4249333633"],"related_works":["https://openalex.org/W2532234348","https://openalex.org/W3086618278","https://openalex.org/W108084911","https://openalex.org/W2393440248","https://openalex.org/W1569386110","https://openalex.org/W2673314300","https://openalex.org/W2982169251","https://openalex.org/W2720892868","https://openalex.org/W2103406007","https://openalex.org/W2252127188"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,44,141],"address":[4],"the":[5,20,26,47,54,57,61,76,105,110,117,128,138],"issue":[6],"of":[7,10,29,33,56,75,79,116,122],"type":[8,157],"reduction":[9,158],"multi-dimensional":[11,31,166],"interval":[12],"type-2":[13],"(IT2)":[14],"fuzzy":[15,41,83,178],"sets":[16,42,112,121],"(FSs).":[17],"We":[18,36,70,108],"utilize":[19],"Karnik-Mendel":[21],"(KM)":[22],"algorithm":[23,130],"to":[24,67,134,149,163,181],"estimate":[25],"centroid":[27,77,106,167],"boundary":[28,78],"a":[30,72,80,183],"footprint":[32],"uncertainty":[34],"(FOU).":[35],"deal":[37],"with":[38],"two-dimensional":[39],"(2-D)":[40],"as":[43],"can":[45,64,160],"visualize":[46],"FOU":[48],"using":[49,119],"3-D":[50],"plots,":[51],"thus":[52,152],"making":[53],"illustration":[55],"methods":[58,90],"simple.":[59],"However,":[60],"basic":[62],"idea":[63],"be":[65,150,161],"extended":[66],"multiple":[68],"dimensions.":[69],"give":[71],"formal":[73],"definition":[74],"2-D":[81],"IT2":[82],"membership":[84],"function":[85],"(FMF)":[86],"and":[87,125],"propose":[88],"two":[89],"for":[91,175],"its":[92],"estimation.":[93],"The":[94],"first":[95,144],"method":[96,145],"computes":[97],"embedded":[98,111],"type-1":[99],"(T1)":[100],"FSs":[101],"whose":[102],"centroids":[103],"constitute":[104],"boundary.":[107],"obtain":[109,135],"by":[113,146],"producing":[114],"slices":[115],"domain":[118],"different":[120],"parallel":[123],"planes":[124],"then":[126],"apply":[127],"KM":[129],"over":[131],"each":[132],"slice,":[133],"\u201cembedded-curves.\u201d":[136],"For":[137],"second":[139],"method,":[140],"approximate":[142],"our":[143],"restricting":[147],"embedded-curves":[148],"\u201cembedded-lines\u201d":[151],"enhancing":[153],"computational":[154],"speed.":[155],"These":[156],"techniques":[159],"applied":[162],"applications":[164],"involving":[165],"estimation":[168,174],"such":[169],"as,":[170],"clustering,":[171],"support":[172],"vector":[173],"dimensionality":[176],"reduction,":[177],"logic":[179],"controllers,":[180],"mention":[182],"few.":[184]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
