{"id":"https://openalex.org/W4312737789","doi":"https://doi.org/10.1109/tsmc.2022.3219996","title":"Modeling Belief Propensity Degree: Measures of Evenness and Diversity of Belief Functions","display_name":"Modeling Belief Propensity Degree: Measures of Evenness and Diversity of Belief Functions","publication_year":2022,"publication_date":"2022-11-17","ids":{"openalex":"https://openalex.org/W4312737789","doi":"https://doi.org/10.1109/tsmc.2022.3219996"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2022.3219996","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2022.3219996","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/A5032529747","display_name":"Qianli Zhou","orcid":"https://orcid.org/0000-0001-5087-3617"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qianli Zhou","raw_affiliation_strings":["Institute of Fundamental and Frontier Science, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0001-5087-3617","affiliations":[{"raw_affiliation_string":"Institute of Fundamental and Frontier Science, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044704830","display_name":"\u00c9loi Boss\u00e9","orcid":null},"institutions":[{"id":"https://openalex.org/I4210127572","display_name":"IMT Atlantique","ror":"https://ror.org/030hj3061","country_code":"FR","type":"education","lineage":["https://openalex.org/I205703379","https://openalex.org/I4210127572"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"\u00c9loi Boss\u00e9","raw_affiliation_strings":["Department of Image and Information Processing, IMT-Atlantique, Brest, France"],"raw_orcid":"https://orcid.org/0000-0001-9658-7595","affiliations":[{"raw_affiliation_string":"Department of Image and Information Processing, IMT-Atlantique, Brest, France","institution_ids":["https://openalex.org/I4210127572"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100741983","display_name":"Yong Deng","orcid":"https://orcid.org/0000-0001-9286-2123"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]},{"id":"https://openalex.org/I177738480","display_name":"Japan Advanced Institute of Science and Technology","ror":"https://ror.org/03frj4r98","country_code":"JP","type":"education","lineage":["https://openalex.org/I177738480"]},{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]}],"countries":["CN","JP"],"is_corresponding":false,"raw_author_name":"Yong Deng","raw_affiliation_strings":["Institute of Fundamental and Frontier Science, University of Electronic Science and Technology of China, Chengdu, China","School of Education, Shaanxi Normal University, Xi'an, China","School of Knowledge Science, Japan Advanced Institute of Science and Technology, Nomi, Ishikawa, Japan"],"raw_orcid":"https://orcid.org/0000-0001-9286-2123","affiliations":[{"raw_affiliation_string":"Institute of Fundamental and Frontier Science, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"School of Education, Shaanxi Normal University, Xi'an, China","institution_ids":["https://openalex.org/I88830068"]},{"raw_affiliation_string":"School of Knowledge Science, Japan Advanced Institute of Science and Technology, Nomi, Ishikawa, Japan","institution_ids":["https://openalex.org/I177738480"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5032529747"],"corresponding_institution_ids":["https://openalex.org/I150229711"],"apc_list":null,"apc_paid":null,"fwci":22.1582,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":1.0,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"53","issue":"5","first_page":"2851","last_page":"2862"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14082","display_name":"Modeling, Simulation, and Optimization","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T14082","display_name":"Modeling, Simulation, and Optimization","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11810","display_name":"Complex Systems and Decision Making","score":0.9555000066757202,"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/T13307","display_name":"Diverse Scientific and Engineering Research","score":0.9452999830245972,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/species-evenness","display_name":"Species evenness","score":0.8836683034896851},{"id":"https://openalex.org/keywords/diversity","display_name":"Diversity (politics)","score":0.7134199142456055},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5791835188865662},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4866252839565277},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.46944472193717957},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.43682122230529785},{"id":"https://openalex.org/keywords/social-psychology","display_name":"Social psychology","score":0.4035590589046478},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3911176919937134},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.205255925655365},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11392134428024292},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.11363404989242554},{"id":"https://openalex.org/keywords/species-richness","display_name":"Species richness","score":0.07934850454330444},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.0663701593875885},{"id":"https://openalex.org/keywords/anthropology","display_name":"Anthropology","score":0.06112891435623169}],"concepts":[{"id":"https://openalex.org/C127937792","wikidata":"https://www.wikidata.org/wiki/Q256069","display_name":"Species evenness","level":3,"score":0.8836683034896851},{"id":"https://openalex.org/C2781316041","wikidata":"https://www.wikidata.org/wiki/Q1230584","display_name":"Diversity (politics)","level":2,"score":0.7134199142456055},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5791835188865662},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4866252839565277},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.46944472193717957},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.43682122230529785},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.4035590589046478},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3911176919937134},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.205255925655365},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11392134428024292},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.11363404989242554},{"id":"https://openalex.org/C53565203","wikidata":"https://www.wikidata.org/wiki/Q17146659","display_name":"Species richness","level":2,"score":0.07934850454330444},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0663701593875885},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.06112891435623169},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2022.3219996","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2022.3219996","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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.5299999713897705}],"awards":[{"id":"https://openalex.org/G8015633022","display_name":null,"funder_award_id":"61973332","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W1600047650","https://openalex.org/W1968375151","https://openalex.org/W1971520700","https://openalex.org/W1978222731","https://openalex.org/W1980297452","https://openalex.org/W1991119456","https://openalex.org/W2005914283","https://openalex.org/W2021430992","https://openalex.org/W2049337423","https://openalex.org/W2084186462","https://openalex.org/W2092539663","https://openalex.org/W2117079761","https://openalex.org/W2119703345","https://openalex.org/W2129048010","https://openalex.org/W2139580021","https://openalex.org/W2140084089","https://openalex.org/W2176632791","https://openalex.org/W2506326391","https://openalex.org/W2513292684","https://openalex.org/W2567406627","https://openalex.org/W2590498657","https://openalex.org/W2753546593","https://openalex.org/W2768927315","https://openalex.org/W2914670007","https://openalex.org/W2946021995","https://openalex.org/W2949900539","https://openalex.org/W2964462458","https://openalex.org/W2981877295","https://openalex.org/W3033245467","https://openalex.org/W3043150267","https://openalex.org/W3095296270","https://openalex.org/W3096103439","https://openalex.org/W3120347279","https://openalex.org/W3129433809","https://openalex.org/W3158899165","https://openalex.org/W3180004860","https://openalex.org/W3184626045","https://openalex.org/W4205127297","https://openalex.org/W4205662564","https://openalex.org/W4206091997","https://openalex.org/W4206187598","https://openalex.org/W4210420716","https://openalex.org/W4221000067","https://openalex.org/W4224062983","https://openalex.org/W4224981464","https://openalex.org/W4226181437","https://openalex.org/W4283013932","https://openalex.org/W4283793317","https://openalex.org/W4285231916","https://openalex.org/W4285601615","https://openalex.org/W4295845519","https://openalex.org/W4301347335","https://openalex.org/W4306954558"],"related_works":["https://openalex.org/W1976998962","https://openalex.org/W2379573398","https://openalex.org/W2983573483","https://openalex.org/W655324129","https://openalex.org/W2543764844","https://openalex.org/W2376107375","https://openalex.org/W1981970518","https://openalex.org/W2379117940","https://openalex.org/W604542869","https://openalex.org/W3088827185"],"abstract_inverted_index":{"Based":[0],"on":[1,130,141],"Klir\u2019s":[2,136],"framework":[3,137],"of":[4,12,18,25,56,62,84,92,126,138],"uncertainty,":[5],"the":[6,39,46,60,80,90,97,116,123,142],"total":[7],"uncertainty":[8,23,54,67,139],"(also":[9],"called":[10,69],"ambiguity)":[11],"belief":[13,26,57,81,85],"function":[14,27,58,119],"is":[15,33],"linear":[16],"addition":[17],"discord":[19],"and":[20,41,71,96,102,128],"nonspecificity.":[21],"Though":[22],"measures":[24,91],"have":[28],"been":[29],"discussed":[30],"widely,":[31],"there":[32],"no":[34],"measure":[35,55,73,115],"that":[36],"can":[37,78,112],"satisfy":[38],"monotonicity":[40],"range":[42],"consistency":[43],"properties":[44],"at":[45],"same":[47],"time.":[48],"In":[49,132],"this":[50],"article,":[51],"we":[52,134],"discuss":[53],"from":[59],"perspective":[61],"information":[63,144],"fractal":[64],"dimension.":[65],"An":[66],"quantity":[68],"evenness":[70,99],"its":[72],"Eve":[74],"are":[75],"proposed,":[76],"which":[77],"represent":[79],"propensity":[82],"degree":[83],"function.":[86],"We":[87],"first":[88],"propose":[89],"diversity":[93],"(normalized":[94,100],"nonspecificity)":[95],"element":[98],"discord),":[101],"then":[103],"fuse":[104],"them":[105],"to":[106],"calculate":[107],"Eve.":[108],"The":[109],"proposed":[110,143],"method":[111],"not":[113],"only":[114],"subnormal":[117],"mass":[118],"but":[120],"also":[121],"interpret":[122],"different":[124],"views":[125],"Klir":[127],"Smets":[129],"\u201cUncertainty.\u201d":[131],"addition,":[133],"extend":[135],"based":[140],"quantities.":[145]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":16},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
