{"id":"https://openalex.org/W1878477518","doi":"https://doi.org/10.3233/ifs-151928","title":"Possibility mean and variation coefficient based ranking methods for type-1 fuzzy numbers and interval type-2 fuzzy numbers","display_name":"Possibility mean and variation coefficient based ranking methods for type-1 fuzzy numbers and interval type-2 fuzzy numbers","publication_year":2016,"publication_date":"2016-03-10","ids":{"openalex":"https://openalex.org/W1878477518","doi":"https://doi.org/10.3233/ifs-151928","mag":"1878477518"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-151928","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-151928","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; 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/A5041297347","display_name":"Xiuzhi Sang","orcid":"https://orcid.org/0000-0002-4232-1959"},"institutions":[{"id":"https://openalex.org/I119454577","display_name":"Nanjing Agricultural University","ror":"https://ror.org/05td3s095","country_code":"CN","type":"education","lineage":["https://openalex.org/I119454577"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiuzhi Sang","raw_affiliation_strings":["College of Finance, Nanjing Agricultural University, Nanjing, Jiangsu, China"],"affiliations":[{"raw_affiliation_string":"College of Finance, Nanjing Agricultural University, Nanjing, Jiangsu, China","institution_ids":["https://openalex.org/I119454577"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048261783","display_name":"Xinwang Liu","orcid":"https://orcid.org/0000-0001-8230-8380"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinwang Liu","raw_affiliation_strings":["School of Economics and Management, Southeast University, Nanjing, Jiangsu, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Southeast University, Nanjing, Jiangsu, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041297347"],"corresponding_institution_ids":["https://openalex.org/I119454577"],"apc_list":null,"apc_paid":null,"fwci":1.7952,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.86147211,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"30","issue":"4","first_page":"2157","last_page":"2168"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998000264167786,"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":0.9969000220298767,"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"}},{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.987500011920929,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.7882459163665771},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.7864267826080322},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6558383703231812},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5426159501075745},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5116022229194641},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.50462806224823},{"id":"https://openalex.org/keywords/ranking-svm","display_name":"Ranking SVM","score":0.5030743479728699},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4953292906284332},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.4942777156829834},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.48722830414772034},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.4839511215686798},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.46523040533065796},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.44594019651412964},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.36678972840309143},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2778448462486267},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27673786878585815},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15895459055900574}],"concepts":[{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.7882459163665771},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.7864267826080322},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6558383703231812},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5426159501075745},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5116022229194641},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.50462806224823},{"id":"https://openalex.org/C124975894","wikidata":"https://www.wikidata.org/wiki/Q7293290","display_name":"Ranking SVM","level":3,"score":0.5030743479728699},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4953292906284332},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.4942777156829834},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.48722830414772034},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.4839511215686798},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.46523040533065796},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.44594019651412964},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.36678972840309143},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2778448462486267},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27673786878585815},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15895459055900574},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-151928","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-151928","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7200000286102295,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324852","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760"},{"id":"https://openalex.org/F4320325211","display_name":"Nanjing Agricultural University","ror":"https://ror.org/05td3s095"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W52413485","https://openalex.org/W1565363896","https://openalex.org/W1574023997","https://openalex.org/W1965387747","https://openalex.org/W1967795181","https://openalex.org/W1969140532","https://openalex.org/W1974562332","https://openalex.org/W1986717152","https://openalex.org/W1990794890","https://openalex.org/W2000317403","https://openalex.org/W2010296199","https://openalex.org/W2014850007","https://openalex.org/W2019482291","https://openalex.org/W2021804535","https://openalex.org/W2026832772","https://openalex.org/W2040199155","https://openalex.org/W2049447733","https://openalex.org/W2051496213","https://openalex.org/W2051798785","https://openalex.org/W2053425102","https://openalex.org/W2055291147","https://openalex.org/W2060361571","https://openalex.org/W2068823774","https://openalex.org/W2084122390","https://openalex.org/W2086147261","https://openalex.org/W2088907949","https://openalex.org/W2096918990","https://openalex.org/W2107390469","https://openalex.org/W2130902850","https://openalex.org/W2134337443","https://openalex.org/W2137253166","https://openalex.org/W2145416734","https://openalex.org/W2157041604","https://openalex.org/W2912565176","https://openalex.org/W3010279532","https://openalex.org/W4210259099","https://openalex.org/W4211007335","https://openalex.org/W4245152641","https://openalex.org/W6641372215"],"related_works":["https://openalex.org/W2184441312","https://openalex.org/W1485268022","https://openalex.org/W2674573885","https://openalex.org/W2253053392","https://openalex.org/W1542808721","https://openalex.org/W2331106272","https://openalex.org/W3176863924","https://openalex.org/W3186561448","https://openalex.org/W1489009679","https://openalex.org/W2025902904"],"abstract_inverted_index":{"Although":[0],"there":[1],"are":[2,79,107,125,132,136],"many":[3],"ranking":[4,45,55,68,77,96,111,123,141,161],"methods":[5,78,124],"for":[6,52],"type-1":[7,26,48,58,113,143],"fuzzy":[8,27,49,59,89,114,119,144,149,160],"numbers,":[9,28,60,120,150],"most":[10],"of":[11,33,46,56,66,74,142],"which":[12,29],"exist":[13],"some":[14],"limitations.":[15],"In":[16],"this":[17],"paper,":[18],"we":[19,82],"propose":[20],"a":[21,94],"new":[22,95],"concept":[23,85],"to":[24,86,127,138],"rank":[25],"defines":[30],"the":[31,44,47,53,64,67,75,84,112,121,140,152,158],"formats":[32],"possibility":[34,99],"mean":[35,100],"and":[36,92,101,116,129,146,151],"variation":[37,102],"coefficient.":[38],"It":[39],"not":[40],"only":[41],"clearly":[42],"discriminates":[43],"numbers":[50,90,115,145],"especially":[51],"reasonable":[54],"symmetric":[57],"but":[61],"also":[62,108],"satisfies":[63],"logicality":[65],"with":[69,98],"their":[70,130],"images\u2019.":[71],"Some":[72,105],"properties":[73,106],"proposed":[76,122,137],"discussed.":[80,109],"Then,":[81],"extend":[83],"interval":[87,117,147],"type-2":[88,118,148],"environment,":[91],"present":[93],"method":[97],"coefficient":[103],"forms.":[104],"For":[110],"easy":[126],"understand":[128],"computations":[131],"simple.":[133],"Several":[134],"examples":[135],"illustrate":[139],"results":[153],"show":[154],"that":[155],"it":[156],"enriches":[157],"existing":[159],"methods.":[162]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
