{"id":"https://openalex.org/W4309455251","doi":"https://doi.org/10.3390/e24111680","title":"Genetic Algorithm Based on a New Similarity for Probabilistic Transformation of Belief Functions","display_name":"Genetic Algorithm Based on a New Similarity for Probabilistic Transformation of Belief Functions","publication_year":2022,"publication_date":"2022-11-17","ids":{"openalex":"https://openalex.org/W4309455251","doi":"https://doi.org/10.3390/e24111680","pmid":"https://pubmed.ncbi.nlm.nih.gov/36421535"},"language":"en","primary_location":{"id":"doi:10.3390/e24111680","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e24111680","pdf_url":"https://www.mdpi.com/1099-4300/24/11/1680/pdf?version=1669046182","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/24/11/1680/pdf?version=1669046182","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091109490","display_name":"Yilin Dong","orcid":"https://orcid.org/0000-0002-4441-3355"},"institutions":[{"id":"https://openalex.org/I96733725","display_name":"Shanghai Maritime University","ror":"https://ror.org/04z7qrj66","country_code":"CN","type":"education","lineage":["https://openalex.org/I96733725"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yilin Dong","raw_affiliation_strings":["Department of Artificial Intelligence, Shanghai Maritime University, Shanghai 201306, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Artificial Intelligence, Shanghai Maritime University, Shanghai 201306, China","institution_ids":["https://openalex.org/I96733725"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049926126","display_name":"Lei Cao","orcid":"https://orcid.org/0000-0001-9909-8607"},"institutions":[{"id":"https://openalex.org/I96733725","display_name":"Shanghai Maritime University","ror":"https://ror.org/04z7qrj66","country_code":"CN","type":"education","lineage":["https://openalex.org/I96733725"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lei Cao","raw_affiliation_strings":["Department of Artificial Intelligence, Shanghai Maritime University, Shanghai 201306, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Artificial Intelligence, Shanghai Maritime University, Shanghai 201306, China","institution_ids":["https://openalex.org/I96733725"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027710673","display_name":"Kezhu Zuo","orcid":null},"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":"Kezhu Zuo","raw_affiliation_strings":["School of Cyber Science and Engineering, Southeast University, Nanjing 210096, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Cyber Science and Engineering, Southeast University, Nanjing 210096, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049926126"],"corresponding_institution_ids":["https://openalex.org/I96733725"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":0.4494,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.65841069,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"24","issue":"11","first_page":"1680","last_page":"1680"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9995999932289124,"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":0.9995999932289124,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.991599977016449,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9900000095367432,"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/probabilistic-logic","display_name":"Probabilistic logic","score":0.7161699533462524},{"id":"https://openalex.org/keywords/closeness","display_name":"Closeness","score":0.6711608171463013},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5713406205177307},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.540647029876709},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.507599949836731},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4970000088214874},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4294787049293518},{"id":"https://openalex.org/keywords/similarity-measure","display_name":"Similarity measure","score":0.42784327268600464},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.37480252981185913},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3682989776134491},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3418508768081665}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.7161699533462524},{"id":"https://openalex.org/C2779545769","wikidata":"https://www.wikidata.org/wiki/Q5135364","display_name":"Closeness","level":2,"score":0.6711608171463013},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5713406205177307},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.540647029876709},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.507599949836731},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4970000088214874},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4294787049293518},{"id":"https://openalex.org/C2776517306","wikidata":"https://www.wikidata.org/wiki/Q29017317","display_name":"Similarity measure","level":2,"score":0.42784327268600464},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37480252981185913},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3682989776134491},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3418508768081665},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e24111680","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e24111680","pdf_url":"https://www.mdpi.com/1099-4300/24/11/1680/pdf?version=1669046182","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:36421535","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/36421535","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:0e8729c5d6c54fb8b0b2623f7af4849b","is_oa":true,"landing_page_url":"https://doaj.org/article/0e8729c5d6c54fb8b0b2623f7af4849b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 24, Iss 11, p 1680 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/24/11/1680/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e24111680","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 24; Issue 11; Pages: 1680","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:9689147","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/9689147","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e24111680","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e24111680","pdf_url":"https://www.mdpi.com/1099-4300/24/11/1680/pdf?version=1669046182","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8100000023841858,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G3961311917","display_name":null,"funder_award_id":"62103258","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":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4309455251.pdf","grobid_xml":"https://content.openalex.org/works/W4309455251.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W1524122080","https://openalex.org/W1533262226","https://openalex.org/W1566689401","https://openalex.org/W1598908459","https://openalex.org/W1798324170","https://openalex.org/W1981643872","https://openalex.org/W1994415968","https://openalex.org/W2003243224","https://openalex.org/W2008535418","https://openalex.org/W2012618195","https://openalex.org/W2019926283","https://openalex.org/W2020797150","https://openalex.org/W2065242695","https://openalex.org/W2068497175","https://openalex.org/W2084186462","https://openalex.org/W2107126366","https://openalex.org/W2109386126","https://openalex.org/W2116661285","https://openalex.org/W2120961868","https://openalex.org/W2126105956","https://openalex.org/W2129048010","https://openalex.org/W2139580021","https://openalex.org/W2152065005","https://openalex.org/W2153847516","https://openalex.org/W2154127879","https://openalex.org/W2176632791","https://openalex.org/W2210272598","https://openalex.org/W2222403068","https://openalex.org/W2300886543","https://openalex.org/W2369662177","https://openalex.org/W2406470551","https://openalex.org/W2516825435","https://openalex.org/W2963596559","https://openalex.org/W3086836363","https://openalex.org/W3099526751","https://openalex.org/W4246270822","https://openalex.org/W4301347335","https://openalex.org/W4308500109","https://openalex.org/W6646005207","https://openalex.org/W6671154386","https://openalex.org/W6688638045","https://openalex.org/W6847121873"],"related_works":["https://openalex.org/W2156910174","https://openalex.org/W1995054232","https://openalex.org/W2011510925","https://openalex.org/W1557920161","https://openalex.org/W1556709767","https://openalex.org/W1993023208","https://openalex.org/W4291020658","https://openalex.org/W2593813644","https://openalex.org/W2061476331","https://openalex.org/W2151215270"],"abstract_inverted_index":{"Recent":[0],"studies":[1],"of":[2,22,43,117,122,130,147],"alternative":[3],"probabilistic":[4,100],"transformation":[5,101],"(PT)":[6],"in":[7,29,138],"Dempster-Shafer":[8],"(DS)":[9],"theory":[10],"have":[11],"mainly":[12],"focused":[13],"on":[14,90],"investigating":[15],"various":[16,136],"schemes":[17],"for":[18,37],"assigning":[19],"the":[20,41,51,54,77,84,87,115,128,131,145],"mass":[21],"compound":[23],"focal":[24],"elements":[25],"to":[26,31,48,104,126,143],"each":[27],"singleton":[28],"order":[30],"obtain":[32],"a":[33,45,68,96,110],"Bayesian":[34],"belief":[35,57],"function":[36],"decision-making":[38],"problems.":[39],"In":[40,65],"process":[42],"such":[44],"transformation,":[46],"how":[47],"precisely":[49],"evaluate":[50,144],"closeness":[52],"between":[53,80],"original":[55],"basic":[56],"assignments":[58],"(BBAs)":[59],"and":[60,82],"transformed":[61],"BBAs":[62,81],"is":[63,72,124],"important.":[64],"this":[66,91],"paper,":[67],"new":[69,92],"aggregation":[70],"measure":[71],"proposed":[73],"by":[74,109],"comprehensively":[75],"considering":[76],"interval":[78],"distance":[79],"also":[83],"sequence":[85],"inside":[86],"BBAs.":[88],"Relying":[89],"measure,":[93],"we":[94],"propose":[95],"novel":[97],"multi-objective":[98],"evolutionary-based":[99],"(MOEPT)":[102],"thanks":[103],"global":[105],"optimizing":[106],"capabilities":[107],"inspired":[108],"genetic":[111],"algorithm":[112],"(GA).":[113],"From":[114],"perspective":[116],"mathematical":[118],"theory,":[119],"convergence":[120],"analysis":[121],"EPT":[123],"employed":[125],"prove":[127],"rationality":[129],"GA":[132],"used":[133],"here.":[134],"Finally,":[135],"scenarios":[137],"evidence":[139],"reasoning":[140],"are":[141],"presented":[142],"robustness":[146],"EPT.":[148]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}