{"id":"https://openalex.org/W4404810049","doi":"https://doi.org/10.1109/tsmc.2024.3493200","title":"A Fractal-Based Complex Belief Entropy for Uncertainty Measure in Complex Evidence Theory","display_name":"A Fractal-Based Complex Belief Entropy for Uncertainty Measure in Complex Evidence Theory","publication_year":2024,"publication_date":"2024-11-28","ids":{"openalex":"https://openalex.org/W4404810049","doi":"https://doi.org/10.1109/tsmc.2024.3493200"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2024.3493200","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2024.3493200","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: 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/A5005400162","display_name":"Keming Wu","orcid":"https://orcid.org/0000-0002-9972-2577"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Keming Wu","raw_affiliation_strings":["School of Big Data and Software Engineering, Chongqing University, Chongqing, China"],"affiliations":[{"raw_affiliation_string":"School of Big Data and Software Engineering, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075353851","display_name":"Fuyuan Xiao","orcid":"https://orcid.org/0000-0002-6303-895X"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fuyuan Xiao","raw_affiliation_strings":["School of Big Data and Software Engineering, Chongqing University, Chongqing, China"],"affiliations":[{"raw_affiliation_string":"School of Big Data and Software Engineering, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5115603611","display_name":"Yi Zhang","orcid":"https://orcid.org/0000-0001-6223-4724"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi Zhang","raw_affiliation_strings":["School of Big Data and Software Engineering, Chongqing University, Chongqing, China"],"affiliations":[{"raw_affiliation_string":"School of Big Data and Software Engineering, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I158842170"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005400162"],"corresponding_institution_ids":["https://openalex.org/I158842170"],"apc_list":null,"apc_paid":null,"fwci":1.7034,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.87316718,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"55","issue":"2","first_page":"910","last_page":"924"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11512","display_name":"Anomaly Detection Techniques and Applications","score":0.9104999899864197,"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/T11512","display_name":"Anomaly Detection Techniques and Applications","score":0.9104999899864197,"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/fractal","display_name":"Fractal","score":0.6528877019882202},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5982241630554199},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5614919066429138},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5315487384796143},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4747779071331024},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.41094788908958435},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.38027340173721313},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.35320356488227844},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.34920734167099},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32885751128196716},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30764883756637573},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.19462496042251587},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17281749844551086},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.170536607503891},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15479278564453125},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.06535154581069946}],"concepts":[{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.6528877019882202},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5982241630554199},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5614919066429138},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5315487384796143},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4747779071331024},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.41094788908958435},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.38027340173721313},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.35320356488227844},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.34920734167099},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32885751128196716},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30764883756637573},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.19462496042251587},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17281749844551086},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.170536607503891},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15479278564453125},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06535154581069946},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2024.3493200","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2024.3493200","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5699999928474426,"id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G5083702274","display_name":null,"funder_award_id":"62473067","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":77,"referenced_works":["https://openalex.org/W1995875735","https://openalex.org/W2009067421","https://openalex.org/W2050291696","https://openalex.org/W2055178707","https://openalex.org/W2119703345","https://openalex.org/W2129048010","https://openalex.org/W2176632791","https://openalex.org/W2402164117","https://openalex.org/W2406470551","https://openalex.org/W2559544114","https://openalex.org/W2590498657","https://openalex.org/W2600332864","https://openalex.org/W2753546593","https://openalex.org/W2884830853","https://openalex.org/W2890276219","https://openalex.org/W2915034459","https://openalex.org/W2944417109","https://openalex.org/W2980798755","https://openalex.org/W2984080647","https://openalex.org/W2990072742","https://openalex.org/W2990177392","https://openalex.org/W2997208567","https://openalex.org/W3015793035","https://openalex.org/W3024403430","https://openalex.org/W3042961264","https://openalex.org/W3043368126","https://openalex.org/W3045107841","https://openalex.org/W3046819843","https://openalex.org/W3095296270","https://openalex.org/W3112539314","https://openalex.org/W3132394705","https://openalex.org/W3136429523","https://openalex.org/W3198202279","https://openalex.org/W3198403055","https://openalex.org/W4205127297","https://openalex.org/W4210420716","https://openalex.org/W4224062983","https://openalex.org/W4224220262","https://openalex.org/W4281562179","https://openalex.org/W4285143251","https://openalex.org/W4285605593","https://openalex.org/W4292255238","https://openalex.org/W4292559472","https://openalex.org/W4295419498","https://openalex.org/W4295845519","https://openalex.org/W4296606738","https://openalex.org/W4296916927","https://openalex.org/W4301347335","https://openalex.org/W4307404699","https://openalex.org/W4309329016","https://openalex.org/W4312143439","https://openalex.org/W4312203995","https://openalex.org/W4312417111","https://openalex.org/W4313131480","https://openalex.org/W4313252373","https://openalex.org/W4315630831","https://openalex.org/W4318823265","https://openalex.org/W4323923523","https://openalex.org/W4377226761","https://openalex.org/W4378190892","https://openalex.org/W4385437508","https://openalex.org/W4385453387","https://openalex.org/W4386001252","https://openalex.org/W4386322182","https://openalex.org/W4387059264","https://openalex.org/W4387374280","https://openalex.org/W4387504224","https://openalex.org/W4389724874","https://openalex.org/W4389925197","https://openalex.org/W4390815194","https://openalex.org/W4392157447","https://openalex.org/W4392387106","https://openalex.org/W4392824695","https://openalex.org/W4393970351","https://openalex.org/W4394935701","https://openalex.org/W4396980067","https://openalex.org/W4401328679"],"related_works":["https://openalex.org/W2013332237","https://openalex.org/W4255837520","https://openalex.org/W1522259561","https://openalex.org/W2295517574","https://openalex.org/W2387011115","https://openalex.org/W2380221404","https://openalex.org/W2373248682","https://openalex.org/W1968456887","https://openalex.org/W2225738837","https://openalex.org/W944314213"],"abstract_inverted_index":{"Complex":[0],"evidence":[1,10],"theory":[2],"(CET),":[3],"an":[4,87],"extension":[5],"of":[6,45,66,79,92,118,122],"the":[7,76,80,97,116],"traditional":[8],"D-S":[9],"theory,":[11],"has":[12,60],"garnered":[13],"academic":[14],"interest":[15],"for":[16,54],"its":[17,128],"capacity":[18],"to":[19,29,70,114],"articulate":[20],"uncertainty":[21,31,39,117],"through":[22,132],"complex":[23,34,55,81,108],"basic":[24],"belief":[25,57,109],"assignment":[26],"(CBBA)":[27],"and":[28,90,127,136],"perform":[30],"reasoning":[32],"using":[33],"combination":[35],"rules.":[36],"Nonetheless,":[37],"quantifying":[38],"within":[40],"CET":[41],"remains":[42],"a":[43,52,105],"subject":[44],"ongoing":[46],"research.":[47],"To":[48],"enhance":[49],"decision":[50],"making,":[51],"method":[53],"pignistic":[56],"transformation":[58],"(CPBT)":[59],"been":[61],"introduced,":[62],"which":[63],"allocates":[64],"CBBAs":[65],"multielement":[67],"focal":[68],"elements":[69],"subsets.":[71],"CPBT\u2019s":[72,93],"core":[73],"lies":[74],"in":[75,101],"fractal-inspired":[77],"redistribution":[78],"mass":[82],"function.":[83],"This":[84],"article":[85],"presents":[86],"experimental":[88],"simulation":[89],"analysis":[91],"generation":[94],"process":[95],"along":[96],"temporal":[98],"dimension,":[99],"rooted":[100],"fractal":[102],"theory.":[103],"Subsequently,":[104],"novel":[106],"fractal-based":[107],"(FCB)":[110],"entropy":[111,124],"is":[112,130],"proposed":[113],"gauge":[115],"CBBA.":[119],"The":[120],"properties":[121],"FCB":[123],"are":[125],"examined,":[126],"efficacy":[129],"demonstrated":[131],"various":[133],"numerical":[134],"examples":[135],"practical":[137],"application.":[138]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
