{"id":"https://openalex.org/W4224218708","doi":"https://doi.org/10.3390/e24050572","title":"A Two-Parameter Fractional Tsallis Decision Tree","display_name":"A Two-Parameter Fractional Tsallis Decision Tree","publication_year":2022,"publication_date":"2022-04-19","ids":{"openalex":"https://openalex.org/W4224218708","doi":"https://doi.org/10.3390/e24050572","pmid":"https://pubmed.ncbi.nlm.nih.gov/35626457"},"language":"en","primary_location":{"id":"doi:10.3390/e24050572","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e24050572","pdf_url":"https://www.mdpi.com/1099-4300/24/5/572/pdf?version=1650360639","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/1099-4300/24/5/572/pdf?version=1650360639","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Jazm\u00edn S. De la Cruz-Garc\u00eda","orcid":null},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Jazm\u00edn S. De la Cruz-Garc\u00eda","raw_affiliation_strings":["SEPI-UPIICSA, Instituto Polit\u00e9cnico Nacional, Mexico City C.P. 08400, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SEPI-UPIICSA, Instituto Polit\u00e9cnico Nacional, Mexico City C.P. 08400, Mexico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048463077","display_name":"Juan Bory Reyes","orcid":"https://orcid.org/0000-0002-7004-1794"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Juan Bory-Reyes","raw_affiliation_strings":["SEPI-ESIME-ZACATENCO, Instituto Polit\u00e9cnico Nacional, Mexico City C.P. 07738, Mexico"],"raw_orcid":"https://orcid.org/0000-0002-7004-1794","affiliations":[{"raw_affiliation_string":"SEPI-ESIME-ZACATENCO, Instituto Polit\u00e9cnico Nacional, Mexico City C.P. 07738, Mexico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010641844","display_name":"Aldo Ram\u00edrez-Arellano","orcid":"https://orcid.org/0000-0002-6782-9847"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Aldo Ramirez-Arellano","raw_affiliation_strings":["SEPI-UPIICSA, Instituto Polit\u00e9cnico Nacional, Mexico City C.P. 08400, Mexico"],"raw_orcid":"https://orcid.org/0000-0002-6782-9847","affiliations":[{"raw_affiliation_string":"SEPI-UPIICSA, Instituto Polit\u00e9cnico Nacional, Mexico City C.P. 08400, Mexico","institution_ids":["https://openalex.org/I59361560"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5010641844"],"corresponding_institution_ids":["https://openalex.org/I59361560"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.0006,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.74365979,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"24","issue":"5","first_page":"572","last_page":"572"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9607999920845032,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10410","display_name":"COVID-19 epidemiological studies","score":0.919700026512146,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/tsallis-entropy","display_name":"Tsallis entropy","score":0.8586567640304565},{"id":"https://openalex.org/keywords/r\u00e9nyi-entropy","display_name":"R\u00e9nyi entropy","score":0.7223355770111084},{"id":"https://openalex.org/keywords/decision-tree","display_name":"Decision tree","score":0.6444891095161438},{"id":"https://openalex.org/keywords/decision-tree-learning","display_name":"Decision tree learning","score":0.5690752267837524},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5529088973999023},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5509617924690247},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4628291726112366},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.37043333053588867},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3018801510334015},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.29621270298957825},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.24335557222366333},{"id":"https://openalex.org/keywords/tsallis-statistics","display_name":"Tsallis statistics","score":0.1148993968963623}],"concepts":[{"id":"https://openalex.org/C117521176","wikidata":"https://www.wikidata.org/wiki/Q7849341","display_name":"Tsallis entropy","level":3,"score":0.8586567640304565},{"id":"https://openalex.org/C142611142","wikidata":"https://www.wikidata.org/wiki/Q1433083","display_name":"R\u00e9nyi entropy","level":3,"score":0.7223355770111084},{"id":"https://openalex.org/C84525736","wikidata":"https://www.wikidata.org/wiki/Q831366","display_name":"Decision tree","level":2,"score":0.6444891095161438},{"id":"https://openalex.org/C5481197","wikidata":"https://www.wikidata.org/wiki/Q16766476","display_name":"Decision tree learning","level":3,"score":0.5690752267837524},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5529088973999023},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5509617924690247},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4628291726112366},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.37043333053588867},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3018801510334015},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.29621270298957825},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.24335557222366333},{"id":"https://openalex.org/C2780056601","wikidata":"https://www.wikidata.org/wiki/Q7849339","display_name":"Tsallis statistics","level":2,"score":0.1148993968963623},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e24050572","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e24050572","pdf_url":"https://www.mdpi.com/1099-4300/24/5/572/pdf?version=1650360639","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:35626457","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/35626457","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:e753884ce55e49b18b2b8be8e3e99763","is_oa":true,"landing_page_url":"https://doaj.org/article/e753884ce55e49b18b2b8be8e3e99763","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 5, p 572 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/24/5/572/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e24050572","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 5; Pages: 572","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:9141694","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/9141694","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/e24050572","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e24050572","pdf_url":"https://www.mdpi.com/1099-4300/24/5/572/pdf?version=1650360639","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":0.7300000190734863,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G5265193481","display_name":null,"funder_award_id":"20220415","funder_id":"https://openalex.org/F4320321694","funder_display_name":"Instituto Polit\u00e9cnico Nacional"}],"funders":[{"id":"https://openalex.org/F4320321694","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4224218708.pdf","grobid_xml":"https://content.openalex.org/works/W4224218708.grobid-xml"},"referenced_works_count":53,"referenced_works":["https://openalex.org/W1511888687","https://openalex.org/W1565746575","https://openalex.org/W1970412632","https://openalex.org/W1982573076","https://openalex.org/W1983874169","https://openalex.org/W1991902756","https://openalex.org/W1995875735","https://openalex.org/W2027611801","https://openalex.org/W2048721659","https://openalex.org/W2057395226","https://openalex.org/W2058849546","https://openalex.org/W2067532772","https://openalex.org/W2073367694","https://openalex.org/W2086021847","https://openalex.org/W2090496852","https://openalex.org/W2091090083","https://openalex.org/W2115870505","https://openalex.org/W2127148427","https://openalex.org/W2143130504","https://openalex.org/W2165162393","https://openalex.org/W2167191107","https://openalex.org/W2169158184","https://openalex.org/W2171309390","https://openalex.org/W2202518843","https://openalex.org/W2346790831","https://openalex.org/W2462714049","https://openalex.org/W2470716712","https://openalex.org/W2515438287","https://openalex.org/W2552486485","https://openalex.org/W2561740238","https://openalex.org/W2574181397","https://openalex.org/W2585991846","https://openalex.org/W2701601150","https://openalex.org/W2785861460","https://openalex.org/W2809723500","https://openalex.org/W2885577284","https://openalex.org/W2890485595","https://openalex.org/W2898673165","https://openalex.org/W2915289933","https://openalex.org/W2931259866","https://openalex.org/W2946075866","https://openalex.org/W2954618380","https://openalex.org/W2960938094","https://openalex.org/W2963810327","https://openalex.org/W2976265833","https://openalex.org/W2998945503","https://openalex.org/W3003186128","https://openalex.org/W3046909015","https://openalex.org/W3049017025","https://openalex.org/W3087167054","https://openalex.org/W3105508676","https://openalex.org/W3173278341","https://openalex.org/W4252969434"],"related_works":["https://openalex.org/W4386898430","https://openalex.org/W2127148427","https://openalex.org/W2000533339","https://openalex.org/W2883631711","https://openalex.org/W2911404282","https://openalex.org/W2591672004","https://openalex.org/W1982169401","https://openalex.org/W1984359518","https://openalex.org/W3213226332","https://openalex.org/W2356463514"],"abstract_inverted_index":{"Decision":[0],"trees":[1],"are":[2],"decision":[3,20,59,79,109,180],"support":[4,156],"data":[5],"mining":[6],"tools":[7],"that":[8,131,159],"create,":[9],"as":[10,128],"the":[11,24,33,39,66,77,124,138,144,150,157,160],"name":[12],"suggests,":[13],"a":[14,28,58,89,94,108,113,120,166,179],"tree-like":[15],"model.":[16],"The":[17,153],"classical":[18,78],"C4.5":[19],"tree,":[21],"based":[22,41,111],"on":[23,42,112],"Shannon":[25],"entropy,":[26],"is":[27,73,84,98,165],"simple":[29],"algorithm":[30,146],"to":[31,56,75,123],"calculate":[32],"gain":[34],"ratio":[35],"and":[36,47,100,147,174],"then":[37],"split":[38],"attributes":[40],"this":[43,82,141],"entropy":[44,142,164],"measure.":[45],"Tsallis":[46,116,163],"Renyi":[48],"entropies":[49,72],"(instead":[50],"of":[51,70,91,126,137,140,149],"Shannon)":[52],"can":[53],"be":[54],"employed":[55],"generate":[57],"tree":[60,110,181],"with":[61],"better":[62],"results.":[63],"In":[64],"practice,":[65],"entropic":[67],"index":[68,176],"parameter":[69],"these":[71],"tuned":[74],"outperform":[76],"trees.":[80],"However,":[81],"process":[83],"carried":[85],"out":[86],"by":[87],"testing":[88],"range":[90],"values":[92],"for":[93,102,178],"given":[95],"database,":[96],"which":[97],"time-consuming":[99],"unfeasible":[101],"massive":[103],"data.":[104],"This":[105],"paper":[106],"introduces":[107],"two-parameter":[114,161],"fractional":[115,162],"entropy.":[117],"We":[118],"propose":[119],"constructionist":[121],"approach":[122],"representation":[125],"databases":[127],"complex":[129,151],"networks":[130],"enable":[132],"us":[133],"an":[134],"efficient":[135],"computation":[136],"parameters":[139],"using":[143],"box-covering":[145],"renormalization":[148],"network.":[152],"experimental":[154],"results":[155],"conclusion":[158],"more":[167],"sensitive":[168],"measure":[169],"than":[170],"parametric":[171],"Renyi,":[172],"Tsallis,":[173],"Gini":[175],"precedents":[177],"classifier.":[182]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}