{"id":"https://openalex.org/W4320008838","doi":"https://doi.org/10.1109/tfuzz.2023.3236386","title":"A Probabilistic Linguistic Three-Way Decision Method With Regret Theory via Fuzzy c-Means Clustering Algorithm","display_name":"A Probabilistic Linguistic Three-Way Decision Method With Regret Theory via Fuzzy c-Means Clustering Algorithm","publication_year":2023,"publication_date":"2023-01-20","ids":{"openalex":"https://openalex.org/W4320008838","doi":"https://doi.org/10.1109/tfuzz.2023.3236386"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2023.3236386","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2023.3236386","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/A5080069089","display_name":"Jinxing Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I145897649","display_name":"Minzu University of China","ror":"https://ror.org/0044e2g62","country_code":"CN","type":"education","lineage":["https://openalex.org/I145897649"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinxing Zhu","raw_affiliation_strings":["School of Mathematics and Statistics, Hubei Minzu University, Enshi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Minzu University, Enshi, China","institution_ids":["https://openalex.org/I145897649"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091898641","display_name":"Xueling Ma","orcid":"https://orcid.org/0000-0003-0061-1664"},"institutions":[{"id":"https://openalex.org/I145897649","display_name":"Minzu University of China","ror":"https://ror.org/0044e2g62","country_code":"CN","type":"education","lineage":["https://openalex.org/I145897649"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xueling Ma","raw_affiliation_strings":["School of Mathematics and Statistics, Hubei Minzu University, Enshi, China"],"raw_orcid":"https://orcid.org/0000-0003-0061-1664","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Minzu University, Enshi, China","institution_ids":["https://openalex.org/I145897649"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009797333","display_name":"Luis Mart\u0131\u0301nez","orcid":"https://orcid.org/0000-0003-4245-8813"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Luis Mart\u00ednez","raw_affiliation_strings":["Department of Computer Science, University of Ja&#x00E9;n, Ja&#x00E9;n, Spain"],"raw_orcid":"https://orcid.org/0000-0003-4245-8813","affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Ja&#x00E9;n, Ja&#x00E9;n, Spain","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100691996","display_name":"Jianming Zhan","orcid":"https://orcid.org/0000-0003-2510-9515"},"institutions":[{"id":"https://openalex.org/I145897649","display_name":"Minzu University of China","ror":"https://ror.org/0044e2g62","country_code":"CN","type":"education","lineage":["https://openalex.org/I145897649"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianming Zhan","raw_affiliation_strings":["School of Mathematics and Statistics, Hubei Minzu University, Enshi, China"],"raw_orcid":"https://orcid.org/0000-0003-2510-9515","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Minzu University, Enshi, China","institution_ids":["https://openalex.org/I145897649"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":21.5542,"has_fulltext":false,"cited_by_count":97,"citation_normalized_percentile":{"value":0.9973481,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"31","issue":"8","first_page":"2821","last_page":"2835"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9997000098228455,"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":0.9997000098228455,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9991999864578247,"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/T11106","display_name":"Data Management and Algorithms","score":0.9419999718666077,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/probabilistic-logic","display_name":"Probabilistic logic","score":0.6705507636070251},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5495251417160034},{"id":"https://openalex.org/keywords/regret","display_name":"Regret","score":0.5478061437606812},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5345010161399841},{"id":"https://openalex.org/keywords/decision-matrix","display_name":"Decision matrix","score":0.5149222612380981},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.41964587569236755},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.4160223603248596},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3656681478023529},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35571107268333435},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.2257641851902008},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.08343461155891418}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6705507636070251},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5495251417160034},{"id":"https://openalex.org/C50817715","wikidata":"https://www.wikidata.org/wiki/Q79895177","display_name":"Regret","level":2,"score":0.5478061437606812},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5345010161399841},{"id":"https://openalex.org/C137402852","wikidata":"https://www.wikidata.org/wiki/Q5249239","display_name":"Decision matrix","level":2,"score":0.5149222612380981},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.41964587569236755},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4160223603248596},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3656681478023529},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35571107268333435},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.2257641851902008},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.08343461155891418},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2023.3236386","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2023.3236386","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":0.8299999833106995,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G1362002787","display_name":null,"funder_award_id":"12271146","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1963055153","display_name":"\u8986\u76d6\u591a\u7c92\u5ea6Pythagorean\u6a21\u7cca\u7c97\u7cd9\u96c6\u53ca\u591a\u5c5e\u6027\u51b3\u7b56\u7814\u7a76","funder_award_id":"61866011","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8959101485","display_name":null,"funder_award_id":"12161036","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W1508253378","https://openalex.org/W1511669739","https://openalex.org/W1978062397","https://openalex.org/W1979092190","https://openalex.org/W1984880160","https://openalex.org/W2003850925","https://openalex.org/W2040689732","https://openalex.org/W2048957655","https://openalex.org/W2070813883","https://openalex.org/W2085487226","https://openalex.org/W2145964516","https://openalex.org/W2189625117","https://openalex.org/W2227014325","https://openalex.org/W2474884296","https://openalex.org/W2506768821","https://openalex.org/W2806437363","https://openalex.org/W2813852899","https://openalex.org/W2883880313","https://openalex.org/W2887518336","https://openalex.org/W2911591129","https://openalex.org/W2911664501","https://openalex.org/W2950090497","https://openalex.org/W2972584969","https://openalex.org/W3011865677","https://openalex.org/W3014802281","https://openalex.org/W3028956410","https://openalex.org/W3034392970","https://openalex.org/W3044312167","https://openalex.org/W3089205181","https://openalex.org/W3090960532","https://openalex.org/W3093703605","https://openalex.org/W3099617437","https://openalex.org/W3118325745","https://openalex.org/W3123560034","https://openalex.org/W3128997590","https://openalex.org/W3157661016","https://openalex.org/W3161620509","https://openalex.org/W3168822248","https://openalex.org/W3181379062","https://openalex.org/W3192072398","https://openalex.org/W3200867809","https://openalex.org/W3206675558","https://openalex.org/W3216051107","https://openalex.org/W4211007335","https://openalex.org/W4211194210","https://openalex.org/W4213232020","https://openalex.org/W4214832003","https://openalex.org/W4221111282","https://openalex.org/W4239165868","https://openalex.org/W4245152641","https://openalex.org/W4285229964","https://openalex.org/W4287890136","https://openalex.org/W6686980507"],"related_works":["https://openalex.org/W2971351794","https://openalex.org/W4376155396","https://openalex.org/W1947085858","https://openalex.org/W2174986909","https://openalex.org/W2527791220","https://openalex.org/W2101991911","https://openalex.org/W2155070487","https://openalex.org/W4311589891","https://openalex.org/W3123835761","https://openalex.org/W1971383138"],"abstract_inverted_index":{"Aiming":[0],"at":[1],"multiattribute":[2],"decision-making":[3,208],"(MADM)":[4],"problems":[5],"with":[6],"probabilistic":[7,29,45,55,173],"linguistic":[8,30,46,56,174],"term":[9],"sets":[10],"(PLTSs),":[11],"and":[12,59,115,185,188,199],"considering":[13],"the":[14,37,60,68,83,90,93,99,127,130,153,177,186,191],"effective":[15],"rationality":[16],"of":[17,64,92,129,190,204],"a":[18,28,44,74,156],"decision-maker":[19],"(DM)":[20],"in":[21,86,96,119,172,202],"complex":[22],"decision":[23,32],"environments,":[24],"this":[25],"article":[26],"proposes":[27],"three-way":[31],"(TWD)":[33],"method":[34,50,179,193],"based":[35],"on":[36],"regret":[38],"theory":[39],"(RT),":[40],"namely,":[41],"PL-TWDR.":[42],"First,":[43],"attribute":[47],"weight":[48],"determination":[49],"is":[51,79,104,140,166,180],"developed":[52],"that":[53],"considers":[54],"information":[57],"entropies":[58],"weighted":[61],"total":[62],"deviation":[63],"all":[65],"objects":[66,111,146],"from":[67],"negative":[69],"ideal":[70],"solution":[71],"(NIS).":[72],"Then,":[73],"new":[75,157],"group":[76],"satisfaction":[77],"index":[78],"designed":[80],"to":[81,106,144,148,168,182],"replace":[82],"utility":[84,149,163],"function":[85],"RT,":[87],"which":[88,123],"overcomes":[89],"limitation":[91],"RT":[94,139],"calculation":[95],"PLTSs.":[97],"Second,":[98],"fuzzy":[100],"c-means":[101],"(FCM)":[102],"algorithm":[103],"extended":[105],"PLTSs":[107,143],"for":[108,126],"obtaining":[109],"equivalent":[110],"under":[112],"different":[113],"clusters":[114],"calculate":[116],"conditional":[117],"probabilities":[118],"corresponding":[120],"TWD":[121,158],"models,":[122],"makes":[124],"up":[125],"shortage":[128],"PLTS":[131],"evaluation":[132],"matrix":[133],"when":[134],"dividing":[135],"equivalence":[136],"classes.":[137],"Third,":[138],"introduced":[141],"into":[142],"rank":[145],"according":[147],"perception":[150,164],"values.":[151],"At":[152],"same":[154],"time,":[155],"model":[159],"constructed":[160],"by":[161],"average":[162],"values":[165],"used":[167],"realize":[169],"object":[170],"domains":[171],"environments.":[175],"Finally,":[176],"proposed":[178],"applied":[181],"realistic":[183],"cases,":[184],"effectiveness":[187],"superiority":[189],"PL-TWDR":[192],"are":[194],"verified":[195],"via":[196],"comparative":[197],"analysis":[198,201],"sensitivity":[200],"terms":[203],"other":[205],"nine":[206],"popular":[207],"methods.":[209]},"counts_by_year":[{"year":2026,"cited_by_count":12},{"year":2025,"cited_by_count":24},{"year":2024,"cited_by_count":33},{"year":2023,"cited_by_count":28}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
