{"id":"https://openalex.org/W3012156695","doi":"https://doi.org/10.1109/tfuzz.2020.2979133","title":"A Fast and Accurate Method for Calculating the Center of Gravity of Polygonal Interval Type-2 Fuzzy Sets","display_name":"A Fast and Accurate Method for Calculating the Center of Gravity of Polygonal Interval Type-2 Fuzzy Sets","publication_year":2020,"publication_date":"2020-03-09","ids":{"openalex":"https://openalex.org/W3012156695","doi":"https://doi.org/10.1109/tfuzz.2020.2979133","mag":"3012156695"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2020.2979133","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2020.2979133","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/A5078687037","display_name":"Mohammad Naimi-Tabiei","orcid":"https://orcid.org/0000-0001-6222-0971"},"institutions":[{"id":"https://openalex.org/I166459259","display_name":"Shiraz University","ror":"https://ror.org/028qtbk54","country_code":"IR","type":"education","lineage":["https://openalex.org/I166459259"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mohammad Naimi","raw_affiliation_strings":["School of Electrical and Computer Engineering, Department of Computer Science & Engineering and Information Technology, Shiraz University, Shiraz, Iran"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Department of Computer Science & Engineering and Information Technology, Shiraz University, Shiraz, Iran","institution_ids":["https://openalex.org/I166459259"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002795684","display_name":"Hooman Tahayori","orcid":"https://orcid.org/0000-0003-2152-7760"},"institutions":[{"id":"https://openalex.org/I166459259","display_name":"Shiraz University","ror":"https://ror.org/028qtbk54","country_code":"IR","type":"education","lineage":["https://openalex.org/I166459259"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Hooman Tahayori","raw_affiliation_strings":["School of Electrical and Computer Engineering, Department of Computer Science & Engineering and Information Technology, Shiraz University, Shiraz, Iran"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Department of Computer Science & Engineering and Information Technology, Shiraz University, Shiraz, Iran","institution_ids":["https://openalex.org/I166459259"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101846166","display_name":"Alireza Sadeghian","orcid":"https://orcid.org/0000-0002-7889-3772"},"institutions":[{"id":"https://openalex.org/I530967","display_name":"Toronto Metropolitan University","ror":"https://ror.org/05g13zd79","country_code":"CA","type":"education","lineage":["https://openalex.org/I530967"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Alireza Sadeghian","raw_affiliation_strings":["Department of Computer Science, Ryerson University, Toronto, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Ryerson University, Toronto, ON, Canada","institution_ids":["https://openalex.org/I530967"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5078687037"],"corresponding_institution_ids":["https://openalex.org/I166459259"],"apc_list":null,"apc_paid":null,"fwci":1.0605,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.81592334,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"29","issue":"6","first_page":"1472","last_page":"1483"},"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.9908999800682068,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/center-of-gravity","display_name":"Center of gravity","score":0.7925236225128174},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6595546007156372},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.631273627281189},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.6054987907409668},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5968942046165466},{"id":"https://openalex.org/keywords/cog","display_name":"Cog","score":0.5625271797180176},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5052052140235901},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49477070569992065},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4934190809726715},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.42777928709983826},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41392335295677185},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3376801013946533},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33360540866851807},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.22870445251464844},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1772211492061615},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16435164213180542}],"concepts":[{"id":"https://openalex.org/C132668919","wikidata":"https://www.wikidata.org/wiki/Q1110236","display_name":"Center of gravity","level":2,"score":0.7925236225128174},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6595546007156372},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.631273627281189},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.6054987907409668},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5968942046165466},{"id":"https://openalex.org/C4661277","wikidata":"https://www.wikidata.org/wiki/Q1054157","display_name":"Cog","level":2,"score":0.5625271797180176},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5052052140235901},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49477070569992065},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4934190809726715},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.42777928709983826},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41392335295677185},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3376801013946533},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33360540866851807},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.22870445251464844},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1772211492061615},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16435164213180542},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2020.2979133","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2020.2979133","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":44,"referenced_works":["https://openalex.org/W97918769","https://openalex.org/W564030374","https://openalex.org/W647481897","https://openalex.org/W844899550","https://openalex.org/W1542883383","https://openalex.org/W1976709831","https://openalex.org/W1983658296","https://openalex.org/W1990249171","https://openalex.org/W1995643732","https://openalex.org/W2001497677","https://openalex.org/W2015934783","https://openalex.org/W2025544956","https://openalex.org/W2026627598","https://openalex.org/W2050263487","https://openalex.org/W2057132322","https://openalex.org/W2063299056","https://openalex.org/W2084597926","https://openalex.org/W2096768134","https://openalex.org/W2101305751","https://openalex.org/W2101560809","https://openalex.org/W2103232511","https://openalex.org/W2125094706","https://openalex.org/W2130135344","https://openalex.org/W2131379830","https://openalex.org/W2132885717","https://openalex.org/W2141178894","https://openalex.org/W2149604064","https://openalex.org/W2150879558","https://openalex.org/W2186991638","https://openalex.org/W2239853243","https://openalex.org/W2469386639","https://openalex.org/W2480422823","https://openalex.org/W2494130811","https://openalex.org/W2587123983","https://openalex.org/W2734825942","https://openalex.org/W2747838071","https://openalex.org/W4206636130","https://openalex.org/W4247749894","https://openalex.org/W4254931243","https://openalex.org/W4289255536","https://openalex.org/W4300874363","https://openalex.org/W6643452750","https://openalex.org/W6647836069","https://openalex.org/W6682133608"],"related_works":["https://openalex.org/W1988603010","https://openalex.org/W2898815460","https://openalex.org/W4302290647","https://openalex.org/W2319797310","https://openalex.org/W2698593353","https://openalex.org/W2997045072","https://openalex.org/W2996378207","https://openalex.org/W272057031","https://openalex.org/W1527333012","https://openalex.org/W257658837"],"abstract_inverted_index":{"Defuzzification":[0],"plays":[1],"an":[2,26,43,127,133],"important":[3,27],"role":[4],"in":[5,138],"the":[6,30,39,49,68,79,87,112,117,119,123],"applications":[7],"of":[8,17,32,51,54,81,98,114],"interval":[9],"type-2":[10],"fuzzy":[11],"sets":[12],"(IT2FSs).":[13],"However,":[14],"computational":[15],"complexity":[16],"existing":[18],"defuzzification":[19],"methods":[20],"has":[21,35],"turned":[22],"this":[23,57],"procedure":[24],"into":[25],"bottleneck":[28],"toward":[29],"use":[31],"IT2FSs.":[33,55,100],"It":[34],"been":[36],"proved":[37],"that":[38,129],"Nie-Tan":[40],"method":[41,46,65,85,125],"is":[42,130],"accurate":[44,64,88,141],"discretizing-based":[45],"for":[47,66,90],"calculating":[48,67],"center":[50],"gravity":[52],"(COG)":[53],"In":[56],"article,":[58],"we":[59],"propose":[60],"a":[61,108,139],"fast":[62],"and":[63,75,92],"COG-Nie-Tan":[69],"defuzzification-of":[70],"polygonal":[71,99,109,115,135],"IT2FSs":[72,94],"on":[73,126],"discrete":[74],"continuous":[76],"domains":[77],"without":[78],"need":[80],"discretization.":[82],"The":[83],"proposed":[84,124],"calculates":[86],"COG":[89],"trapezoidal":[91],"triangular":[93],"as":[95],"special":[96],"cases":[97],"Moreover,":[101],"any":[102],"IT2FS":[103,128,136],"can":[104],"be":[105],"approximated":[106,131],"by":[107,132],"IT2FS-the":[110],"higher":[111],"order":[113],"IT2FS,":[116],"better":[118],"approximation.":[120],"Hence,":[121],"using":[122],"appropriate":[134],"results":[137],"more":[140],"COG.":[142]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}