{"id":"https://openalex.org/W3217195001","doi":"https://doi.org/10.1109/tfuzz.2021.3131380","title":"The Criterion-Oriented Three-Way Ranking and Clustering Strategies in Fuzzy Decision Environments","display_name":"The Criterion-Oriented Three-Way Ranking and Clustering Strategies in Fuzzy Decision Environments","publication_year":2021,"publication_date":"2021-11-30","ids":{"openalex":"https://openalex.org/W3217195001","doi":"https://doi.org/10.1109/tfuzz.2021.3131380","mag":"3217195001"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2021.3131380","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2021.3131380","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/A5066576755","display_name":"Kai Zhang","orcid":"https://orcid.org/0000-0003-1306-5586"},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kai Zhang","raw_affiliation_strings":["Key Laboratory of Computing and Stochastic Mathematics (Ministry of Education), School of Mathematics and Statistics, Hunan Provincial Laboratory of Intelligent Computing and Language Information Processing, College of Information Science and Engineering, Hunan Normal University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Computing and Stochastic Mathematics (Ministry of Education), School of Mathematics and Statistics, Hunan Provincial Laboratory of Intelligent Computing and Language Information Processing, College of Information Science and Engineering, Hunan Normal University, Changsha, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070031719","display_name":"Jianhua Dai","orcid":"https://orcid.org/0000-0003-1459-0833"},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianhua Dai","raw_affiliation_strings":["Key Laboratory of Computing and Stochastic Mathematics (Ministry of Education), School of Mathematics and Statistics, Hunan Provincial Laboratory of Intelligent Computing and Language Information Processing, College of Information Science and Engineering, Hunan Normal University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Computing and Stochastic Mathematics (Ministry of Education), School of Mathematics and Statistics, Hunan Provincial Laboratory of Intelligent Computing and Language Information Processing, College of Information Science and Engineering, Hunan Normal University, Changsha, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100437308","display_name":"Zeshui Xu","orcid":"https://orcid.org/0000-0003-3547-2908"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zeshui Xu","raw_affiliation_strings":["Business School, Sichuan University, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"Business School, Sichuan University, Chengdu, China","institution_ids":["https://openalex.org/I24185976"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5066576755"],"corresponding_institution_ids":["https://openalex.org/I173759888"],"apc_list":null,"apc_paid":null,"fwci":4.5871,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.95260206,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"30","issue":"9","first_page":"3841","last_page":"3856"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9991000294685364,"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":0.9976999759674072,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9279999732971191,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.6177065372467041},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5880172252655029},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.5861793756484985},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.5591177344322205},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.538110077381134},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.5191909074783325},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.5154286623001099},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5148276686668396},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.5057332515716553},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.5025424957275391},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.48755139112472534},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4245874285697937},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4040426015853882},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37976783514022827},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35284677147865295}],"concepts":[{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.6177065372467041},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5880172252655029},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.5861793756484985},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.5591177344322205},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.538110077381134},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5191909074783325},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.5154286623001099},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5148276686668396},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.5057332515716553},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.5025424957275391},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.48755139112472534},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4245874285697937},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4040426015853882},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37976783514022827},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35284677147865295}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2021.3131380","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2021.3131380","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":[{"score":0.800000011920929,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G1724174098","display_name":null,"funder_award_id":"2018TP1018","funder_id":"https://openalex.org/F4320330206","funder_display_name":"Science and Technology Program of Hunan Province"},{"id":"https://openalex.org/G3425519802","display_name":null,"funder_award_id":"2021JJ30451","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G8064630213","display_name":null,"funder_award_id":"61976089","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8381972141","display_name":null,"funder_award_id":"2018RS3065","funder_id":"https://openalex.org/F4320330206","funder_display_name":"Science and Technology Program of Hunan Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null},{"id":"https://openalex.org/F4320330206","display_name":"Science and Technology Program of Hunan Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W1606022329","https://openalex.org/W1704544815","https://openalex.org/W1964432381","https://openalex.org/W1965473535","https://openalex.org/W1980564456","https://openalex.org/W2081474170","https://openalex.org/W2167967165","https://openalex.org/W2259660946","https://openalex.org/W2371937910","https://openalex.org/W2506768821","https://openalex.org/W2549504134","https://openalex.org/W2552836761","https://openalex.org/W2605263372","https://openalex.org/W2605693713","https://openalex.org/W2772794611","https://openalex.org/W2784166218","https://openalex.org/W2889077617","https://openalex.org/W2892294644","https://openalex.org/W2898660825","https://openalex.org/W2911043813","https://openalex.org/W2930693451","https://openalex.org/W2943870393","https://openalex.org/W2954753287","https://openalex.org/W2966380844","https://openalex.org/W2980272624","https://openalex.org/W2989196101","https://openalex.org/W2989585950","https://openalex.org/W3000296568","https://openalex.org/W3007226770","https://openalex.org/W3007921036","https://openalex.org/W3010623202","https://openalex.org/W3014431324","https://openalex.org/W3030406084","https://openalex.org/W3034392970","https://openalex.org/W3034633328","https://openalex.org/W3041103914","https://openalex.org/W3041899150","https://openalex.org/W3046771924","https://openalex.org/W3050294576","https://openalex.org/W3124182951","https://openalex.org/W3127432968","https://openalex.org/W3139389765","https://openalex.org/W3160347461","https://openalex.org/W3161620509","https://openalex.org/W3163554154","https://openalex.org/W3173498505","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W2184441312","https://openalex.org/W2674573885","https://openalex.org/W1485268022","https://openalex.org/W1975005191","https://openalex.org/W2331106272","https://openalex.org/W4361984403","https://openalex.org/W1542808721","https://openalex.org/W2960454922","https://openalex.org/W1487720066","https://openalex.org/W2253053392"],"abstract_inverted_index":{"Faced":[0],"with":[1,5],"any":[2],"decision-making":[3],"problems":[4,82],"fuzzy":[6,26,37,58,91,98,103,123,138,146],"multicriteria":[7],"information,":[8],"decision-makers":[9],"generally":[10],"set":[11,27,99],"a":[12,25,96,101,107,149,178],"minimum":[13],"requirement":[14],"on":[15,28,163,168],"each":[16],"criterion":[17,30,36,57,90,97],"for":[18],"satisfying":[19],"their":[20],"own":[21],"preferences,":[22],"thereby":[23],"forming":[24],"the":[29,35,40,45,67,77,87,121,130,136,141,144,169,201,206],"universe,":[31],"which":[32,74,158,185],"is":[33,156],"called":[34],"set.":[38,59],"From":[39],"perspective":[41,88],"of":[42,48,62,83,89,140,205],"realistic":[43],"decision,":[44],"final":[46],"decision":[47],"all":[49,84,164,188],"alternatives":[50,85],"should":[51],"be":[52],"determined":[53],"according":[54],"to":[55,128],"this":[56,64],"In":[60],"view":[61],"this,":[63],"article":[65],"proposes":[66],"criterion-oriented":[68,102,108,145,150,179,208],"three-way":[69,153,170,182,209],"ranking":[70,81,183,210],"and":[71,80,105,113,143,172,196,203,211],"clustering":[72,79,154,212],"strategies,":[73],"can":[75,159,186],"solve":[76],"qualitative":[78,161],"from":[86],"sets.":[92],"First,":[93],"we":[94,119,176,199],"define":[95],"as":[100],"concept":[104],"propose":[106],"relative":[109],"risk":[110],"loss":[111],"model":[112],"discuss":[114],"related":[115],"properties":[116],"accordingly.":[117],"Meanwhile,":[118],"use":[120],"generalized":[122],"rough":[124],"lower":[125],"(upper)":[126],"approximation":[127],"estimate":[129],"absolute":[131,151,180],"(relative)":[132,152,181],"conditional":[133],"probability":[134],"between":[135],"binary":[137],"class":[139],"alternative":[142],"concept.":[147],"Then,":[148],"strategy":[155],"proposed,":[157],"perform":[160],"analysis":[162,195],"alternatives.":[165,189],"Furthermore,":[166],"based":[167],"semantics":[171],"global":[173],"cost":[174],"function,":[175],"recommend":[177],"strategy,":[184],"rank":[187],"Finally,":[190],"through":[191],"numerical":[192],"example,":[193],"comparative":[194],"sensitivity":[197],"analysis,":[198],"test":[200],"feasibility":[202],"effectiveness":[204],"proposed":[207],"strategies.":[213]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":14},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}