{"id":"https://openalex.org/W2602173806","doi":"https://doi.org/10.1109/tfuzz.2017.2688342","title":"Analysis of Data Generated From Multidimensional Type-1 and Type-2 Fuzzy Membership Functions","display_name":"Analysis of Data Generated From Multidimensional Type-1 and Type-2 Fuzzy Membership Functions","publication_year":2017,"publication_date":"2017-03-28","ids":{"openalex":"https://openalex.org/W2602173806","doi":"https://doi.org/10.1109/tfuzz.2017.2688342","mag":"2602173806"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2017.2688342","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2017.2688342","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/A5004777817","display_name":"Desh Raj","orcid":"https://orcid.org/0000-0002-5038-9400"},"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":"Desh Raj","raw_affiliation_strings":["Department of Computer Science and Engineering, Indian Institute of Technology Guwahati, Guwahati, India"],"raw_orcid":"https://orcid.org/0000-0002-5038-9400","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":null,"display_name":"Aditya Gupta","orcid":"https://orcid.org/0000-0002-4511-7814"},"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":"Aditya Gupta","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati, India"],"raw_orcid":"https://orcid.org/0000-0002-4511-7814","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/A5107968109","display_name":"Bhuvnesh Garg","orcid":"https://orcid.org/0000-0003-1726-6916"},"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":"Bhuvnesh Garg","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati, India"],"raw_orcid":"https://orcid.org/0000-0003-1726-6916","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/A5004287698","display_name":"Kenil Tanna","orcid":"https://orcid.org/0000-0002-1724-4330"},"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":"Kenil Tanna","raw_affiliation_strings":["Department of Computer Science and Engineering, Indian Institute of Technology Guwahati, Guwahati, India"],"raw_orcid":"https://orcid.org/0000-0002-1724-4330","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":"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":["Hanyang University, Ansan, South Korea"],"raw_orcid":"https://orcid.org/0000-0002-5563-0793","affiliations":[{"raw_affiliation_string":"Hanyang University, Ansan, South Korea","institution_ids":["https://openalex.org/I4575257"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1371,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.83929638,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"26","issue":"2","first_page":"681","last_page":"693"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9991999864578247,"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":0.9991999864578247,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9987000226974487,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9896000027656555,"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-logic","display_name":"Fuzzy logic","score":0.639488935470581},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.5922868847846985},{"id":"https://openalex.org/keywords/wilcoxon-signed-rank-test","display_name":"Wilcoxon signed-rank test","score":0.5886729955673218},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5150611400604248},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5051921010017395},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5035776495933533},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4742752015590668},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.46553340554237366},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.4530760943889618},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.44727614521980286},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4141595959663391},{"id":"https://openalex.org/keywords/data-type","display_name":"Data type","score":0.41059309244155884},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4046744704246521},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.31433042883872986},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12833914160728455}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.639488935470581},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5922868847846985},{"id":"https://openalex.org/C206041023","wikidata":"https://www.wikidata.org/wiki/Q1751970","display_name":"Wilcoxon signed-rank test","level":3,"score":0.5886729955673218},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5150611400604248},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5051921010017395},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5035776495933533},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4742752015590668},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.46553340554237366},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.4530760943889618},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.44727614521980286},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4141595959663391},{"id":"https://openalex.org/C138958017","wikidata":"https://www.wikidata.org/wiki/Q190087","display_name":"Data type","level":2,"score":0.41059309244155884},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4046744704246521},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31433042883872986},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12833914160728455},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C12868164","wikidata":"https://www.wikidata.org/wiki/Q1424533","display_name":"Mann\u2013Whitney U test","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2017.2688342","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2017.2688342","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":61,"referenced_works":["https://openalex.org/W133980431","https://openalex.org/W1510052597","https://openalex.org/W1925927243","https://openalex.org/W1968026678","https://openalex.org/W1968177355","https://openalex.org/W1971341559","https://openalex.org/W1972073131","https://openalex.org/W1972544340","https://openalex.org/W1972649913","https://openalex.org/W1973880112","https://openalex.org/W1978752927","https://openalex.org/W1982980578","https://openalex.org/W1993968798","https://openalex.org/W1997300857","https://openalex.org/W2008236193","https://openalex.org/W2019020177","https://openalex.org/W2021332053","https://openalex.org/W2021429464","https://openalex.org/W2023439666","https://openalex.org/W2026457244","https://openalex.org/W2031176346","https://openalex.org/W2050050052","https://openalex.org/W2058045530","https://openalex.org/W2059975159","https://openalex.org/W2062897401","https://openalex.org/W2078066200","https://openalex.org/W2082441352","https://openalex.org/W2089807790","https://openalex.org/W2103535990","https://openalex.org/W2103666359","https://openalex.org/W2109395670","https://openalex.org/W2111361149","https://openalex.org/W2113076747","https://openalex.org/W2113476745","https://openalex.org/W2114883321","https://openalex.org/W2123143092","https://openalex.org/W2125004653","https://openalex.org/W2125631815","https://openalex.org/W2132885717","https://openalex.org/W2135571735","https://openalex.org/W2138036661","https://openalex.org/W2139779730","https://openalex.org/W2141178894","https://openalex.org/W2144451432","https://openalex.org/W2152799677","https://openalex.org/W2155063211","https://openalex.org/W2157389400","https://openalex.org/W2163884840","https://openalex.org/W2166623127","https://openalex.org/W2171000203","https://openalex.org/W2494034525","https://openalex.org/W2557055971","https://openalex.org/W2912565176","https://openalex.org/W3120740533","https://openalex.org/W4211007335","https://openalex.org/W4241184565","https://openalex.org/W4292865245","https://openalex.org/W4299900939","https://openalex.org/W6655719342","https://openalex.org/W6682557032","https://openalex.org/W6682900469"],"related_works":["https://openalex.org/W2674573885","https://openalex.org/W2781808531","https://openalex.org/W3186561448","https://openalex.org/W3207735076","https://openalex.org/W1486684451","https://openalex.org/W3104079380","https://openalex.org/W2375182298","https://openalex.org/W1975005191","https://openalex.org/W2016525755","https://openalex.org/W3113298393"],"abstract_inverted_index":{"Due":[0],"to":[1,19,35,130,176,187,204],"the":[2,45,71,104,117,132,136,140,147,160,165,168,173,206],"numerous":[3],"applications":[4,97],"that":[5,113],"utilize":[6],"different":[7,48,83,96],"types":[8],"of":[9,116,119,142,149,162,167],"fuzzy":[10,56,61,100,182,190],"membership":[11],"functions":[12],"(MFs),":[13],"it":[14],"may":[15,92,155,184],"sometimes":[16],"be":[17,93,156,185],"difficult":[18],"choose":[20],"an":[21,110],"appropriate":[22],"MF":[23],"for":[24,95,103,151,209],"a":[25,41,152],"particular":[26],"application.":[27,169],"In":[28,44,86],"this":[29,37,171],"paper,":[30],"we":[31,108],"establish":[32],"preliminary":[33],"guidelines":[34],"direct":[36],"selection":[38],"by":[39,81,158],"proposing":[40],"three-stage":[42],"method.":[43],"\u201cforward\u201d":[46],"stage,":[47,73,107],"MFs,":[49,53,57,62],"such":[50],"as":[51],"crisp":[52],"type-1":[54],"(T1)":[55],"and":[58,124,135,164,192,201],"type-2":[59],"(T2)":[60],"are":[63,197],"generated":[64,76,94,137],"from":[65,78],"multidimensional":[66],"data":[67,74,90,134,203,210],"sets.":[68],"Next,":[69],"in":[70,212],"\u201creverse\u201d":[72],"is":[75,175],"back":[77],"these":[79,143],"MFs":[80,150],"considering":[82],"bin":[84],"sizes.":[85],"doing":[87],"so,":[88],"various":[89,213],"sets":[91,183,211],"which":[98],"require":[99],"data.":[101,138],"Finally,":[102],"\u201csimilarity":[105],"analysis\u201d":[106],"propose":[109],"iterative":[111,207],"algorithm":[112,208],"makes":[114],"use":[115],"results":[118,141],"Wilcoxon":[120,125],"signed":[121],"rank":[122,126],"(WSR)":[123],"sum":[127],"(WRS)":[128],"tests":[129],"compare":[131],"original":[133],"From":[139],"tests,":[144],"recommendations":[145],"concerning":[146],"suitability":[148],"specific":[153],"application":[154],"suggested":[157],"observing":[159],"accuracy":[161],"representation":[163],"requirements":[166],"With":[170],"analysis,":[172],"objective":[174],"gain":[177],"insight":[178],"on":[179],"when":[180],"T2":[181],"considered":[186],"outperform":[188],"T1":[189],"sets,":[191],"vice":[193],"versa.":[194],"Several":[195],"examples":[196],"provided":[198],"using":[199],"synthetic":[200],"real":[202],"validate":[205],"dimensions.":[214]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}