{"id":"https://openalex.org/W2934590717","doi":"https://doi.org/10.3390/e21040375","title":"Bounded Rational Decision-Making from Elementary Computations That Reduce Uncertainty","display_name":"Bounded Rational Decision-Making from Elementary Computations That Reduce Uncertainty","publication_year":2019,"publication_date":"2019-04-06","ids":{"openalex":"https://openalex.org/W2934590717","doi":"https://doi.org/10.3390/e21040375","mag":"2934590717","pmid":"https://pubmed.ncbi.nlm.nih.gov/33267089"},"language":"en","primary_location":{"id":"doi:10.3390/e21040375","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21040375","pdf_url":"https://www.mdpi.com/1099-4300/21/4/375/pdf?version=1556185954","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":["arxiv","crossref","datacite","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/21/4/375/pdf?version=1556185954","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085415063","display_name":"Sebastian Gottwald","orcid":"https://orcid.org/0000-0003-2906-3577"},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Sebastian Gottwald","raw_affiliation_strings":["Institute of Neural Information Processing, Ulm University, 89081 Ulm, Germany"],"raw_orcid":"https://orcid.org/0000-0003-2906-3577","affiliations":[{"raw_affiliation_string":"Institute of Neural Information Processing, Ulm University, 89081 Ulm, Germany","institution_ids":["https://openalex.org/I196349391"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101647210","display_name":"Daniel A. Braun","orcid":"https://orcid.org/0000-0002-8637-6652"},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Braun","raw_affiliation_strings":["Institute of Neural Information Processing, Ulm University, 89081 Ulm, Germany"],"raw_orcid":"https://orcid.org/0000-0002-8637-6652","affiliations":[{"raw_affiliation_string":"Institute of Neural Information Processing, Ulm University, 89081 Ulm, Germany","institution_ids":["https://openalex.org/I196349391"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085415063"],"corresponding_institution_ids":["https://openalex.org/I196349391"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":4.0342,"has_fulltext":true,"cited_by_count":41,"citation_normalized_percentile":{"value":0.94308336,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"21","issue":"4","first_page":"375","last_page":"375"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9801999926567078,"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":0.9801999926567078,"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/T10581","display_name":"Neural dynamics and brain function","score":0.9711999893188477,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11883","display_name":"Embodied and Extended Cognition","score":0.9668999910354614,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/preorder","display_name":"Preorder","score":0.7410802841186523},{"id":"https://openalex.org/keywords/majorization","display_name":"Majorization","score":0.6777685880661011},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5611220598220825},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.537163496017456},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5307042002677917},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.5102698802947998},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4685590863227844},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.449179083108902},{"id":"https://openalex.org/keywords/uncertainty-reduction-theory","display_name":"Uncertainty reduction theory","score":0.4455898404121399},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4334673285484314},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41229188442230225},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34412309527397156},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.24908015131950378},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20503559708595276}],"concepts":[{"id":"https://openalex.org/C2333172","wikidata":"https://www.wikidata.org/wiki/Q1425985","display_name":"Preorder","level":2,"score":0.7410802841186523},{"id":"https://openalex.org/C2777818330","wikidata":"https://www.wikidata.org/wiki/Q1994695","display_name":"Majorization","level":2,"score":0.6777685880661011},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5611220598220825},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.537163496017456},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5307042002677917},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.5102698802947998},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4685590863227844},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.449179083108902},{"id":"https://openalex.org/C94361409","wikidata":"https://www.wikidata.org/wiki/Q7882500","display_name":"Uncertainty reduction theory","level":2,"score":0.4455898404121399},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4334673285484314},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41229188442230225},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34412309527397156},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.24908015131950378},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20503559708595276},{"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/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C46312422","wikidata":"https://www.wikidata.org/wiki/Q11024","display_name":"Communication","level":1,"score":0.0}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.3390/e21040375","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21040375","pdf_url":"https://www.mdpi.com/1099-4300/21/4/375/pdf?version=1556185954","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:33267089","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33267089","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:arXiv.org:1904.03964","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1904.03964","pdf_url":"https://arxiv.org/pdf/1904.03964","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:oparu.uni-ulm.de:123456789/14162","is_oa":true,"landing_page_url":"http://doi.org/10.18725/OPARU-14105","pdf_url":"http://nbn-resolving.de/urn:nbn:de:bsz:289-oparu-14162-7","source":{"id":"https://openalex.org/S4306400353","display_name":"OPen Access Repositorium der Universit\u00e4t Ulm (OPARU) (Ulm University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I196349391","host_organization_name":"Universit\u00e4t Ulm","host_organization_lineage":["https://openalex.org/I196349391"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:3e8f22c7786b46ac89aa434f200484a4","is_oa":true,"landing_page_url":"https://doaj.org/article/3e8f22c7786b46ac89aa434f200484a4","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 21, Iss 4, p 375 (2019)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/21/4/375/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e21040375","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","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:7514859","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7514859","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"},{"id":"doi:10.18725/oparu-14105","is_oa":true,"landing_page_url":"https://doi.org/10.18725/oparu-14105","pdf_url":null,"source":{"id":"https://openalex.org/S7407052964","display_name":"Universit\u00e4t Ulm, Kommunikations- und Informationszentrum (kiz)","issn_l":null,"issn":[],"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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e21040375","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21040375","pdf_url":"https://www.mdpi.com/1099-4300/21/4/375/pdf?version=1556185954","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":0.49000000953674316,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G7479912264","display_name":null,"funder_award_id":"678082","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2934590717.pdf","grobid_xml":"https://content.openalex.org/works/W2934590717.grobid-xml"},"referenced_works_count":121,"referenced_works":["https://openalex.org/W187227515","https://openalex.org/W656501022","https://openalex.org/W1487708124","https://openalex.org/W1510672157","https://openalex.org/W1528993561","https://openalex.org/W1535465927","https://openalex.org/W1540637571","https://openalex.org/W1575020259","https://openalex.org/W1593056665","https://openalex.org/W1593125407","https://openalex.org/W1632356912","https://openalex.org/W1856459231","https://openalex.org/W1892018222","https://openalex.org/W1930481778","https://openalex.org/W1965555277","https://openalex.org/W1969083677","https://openalex.org/W1972190631","https://openalex.org/W1973071586","https://openalex.org/W1983874169","https://openalex.org/W1986404331","https://openalex.org/W1989020845","https://openalex.org/W1995875735","https://openalex.org/W1997314000","https://openalex.org/W1998384220","https://openalex.org/W2003923290","https://openalex.org/W2006309149","https://openalex.org/W2021031922","https://openalex.org/W2023688891","https://openalex.org/W2024870983","https://openalex.org/W2029236670","https://openalex.org/W2029705873","https://openalex.org/W2030552134","https://openalex.org/W2032248907","https://openalex.org/W2036160002","https://openalex.org/W2039379871","https://openalex.org/W2042980709","https://openalex.org/W2045339660","https://openalex.org/W2045722638","https://openalex.org/W2047229728","https://openalex.org/W2052646826","https://openalex.org/W2058302966","https://openalex.org/W2061313931","https://openalex.org/W2061750998","https://openalex.org/W2069277547","https://openalex.org/W2070911930","https://openalex.org/W2072973836","https://openalex.org/W2074269613","https://openalex.org/W2075405735","https://openalex.org/W2080834410","https://openalex.org/W2087171258","https://openalex.org/W2093524643","https://openalex.org/W2098205603","https://openalex.org/W2101692583","https://openalex.org/W2107662876","https://openalex.org/W2112090857","https://openalex.org/W2117166535","https://openalex.org/W2121813011","https://openalex.org/W2122882636","https://openalex.org/W2125133553","https://openalex.org/W2127042005","https://openalex.org/W2127852655","https://openalex.org/W2128349062","https://openalex.org/W2129641119","https://openalex.org/W2135582882","https://openalex.org/W2136776648","https://openalex.org/W2142176084","https://openalex.org/W2144846366","https://openalex.org/W2148962857","https://openalex.org/W2148986322","https://openalex.org/W2149570649","https://openalex.org/W2157201325","https://openalex.org/W2157376352","https://openalex.org/W2161321725","https://openalex.org/W2168092276","https://openalex.org/W2170930374","https://openalex.org/W2201637509","https://openalex.org/W2211766770","https://openalex.org/W2239029832","https://openalex.org/W2264897026","https://openalex.org/W2327198916","https://openalex.org/W2334234490","https://openalex.org/W2479543434","https://openalex.org/W2485310065","https://openalex.org/W2488889159","https://openalex.org/W2530367107","https://openalex.org/W2535161073","https://openalex.org/W2744355733","https://openalex.org/W2749979261","https://openalex.org/W2771607470","https://openalex.org/W2798707604","https://openalex.org/W2883209791","https://openalex.org/W2889269551","https://openalex.org/W2889396243","https://openalex.org/W2889989645","https://openalex.org/W2905156237","https://openalex.org/W2911412474","https://openalex.org/W2963027080","https://openalex.org/W2964266710","https://openalex.org/W2978499542","https://openalex.org/W3099322555","https://openalex.org/W3099640091","https://openalex.org/W3111731288","https://openalex.org/W3144969279","https://openalex.org/W3193262203","https://openalex.org/W4231381140","https://openalex.org/W4234610908","https://openalex.org/W4239588910","https://openalex.org/W4239608122","https://openalex.org/W4252816148","https://openalex.org/W4254398858","https://openalex.org/W4255333822","https://openalex.org/W4292058084","https://openalex.org/W4376595448","https://openalex.org/W6636737686","https://openalex.org/W6651425882","https://openalex.org/W6669099889","https://openalex.org/W6675094747","https://openalex.org/W6681365706","https://openalex.org/W6727695606","https://openalex.org/W6786486187","https://openalex.org/W6792728667"],"related_works":["https://openalex.org/W2059384236","https://openalex.org/W2793104284","https://openalex.org/W1495199168","https://openalex.org/W2079239703","https://openalex.org/W2008052156","https://openalex.org/W2113177679","https://openalex.org/W4361273525","https://openalex.org/W2118163961","https://openalex.org/W2794788372","https://openalex.org/W2934590717"],"abstract_inverted_index":{"In":[0],"its":[1],"most":[2],"basic":[3],"form,":[4],"decision-making":[5,125],"can":[6,32,65,101],"be":[7,33,66],"viewed":[8],"as":[9,68,141,143],"a":[10,54,91,121],"computational":[11,42],"process":[12],"that":[13,26,31,60,89,106],"progressively":[14],"eliminates":[15],"alternatives,":[16],"thereby":[17],"reducing":[18],"uncertainty.":[19,62],"Such":[20],"processes":[21,126],"are":[22,107],"generally":[23],"costly,":[24],"meaning":[25],"the":[27,38,47,69,81,94,115,131],"amount":[28,39],"of":[29,40,49,71,83,96,124],"uncertainty":[30,116],"reduced":[34],"is":[35],"limited":[36,128],"by":[37],"available":[41],"resources.":[43,129],"Here,":[44],"we":[45,100,133],"introduce":[46],"notion":[48,123],"elementary":[50],"computation":[51],"based":[52],"on":[53,93,138,144],"fundamental":[55],"principle":[56],"for":[57],"probability":[58,76,97],"transfers":[59,73],"reduce":[61],"Elementary":[63],"computations":[64],"considered":[67],"inverse":[70],"Pigou-Dalton":[72],"applied":[74],"to":[75,80,114,120],"distributions,":[77],"closely":[78],"related":[79],"concepts":[82],"majorization,":[84],"T-transforms,":[85],"and":[86,109,146],"generalized":[87],"entropies":[88],"induce":[90],"preorder":[92],"space":[95],"distributions.":[98],"Consequently,":[99],"define":[102],"resource":[103],"cost":[104],"functions":[105],"order-preserving":[108],"therefore":[110],"monotonic":[111],"with":[112,127],"respect":[113],"reduction.":[117],"This":[118],"leads":[119],"comprehensive":[122],"Along":[130],"way,":[132],"prove":[134],"several":[135],"new":[136],"results":[137],"majorization":[139],"theory,":[140],"well":[142],"entropy":[145],"divergence":[147],"measures.":[148]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}