{"id":"https://openalex.org/W3082214321","doi":"https://doi.org/10.1142/s1230161220500080","title":"R\u00e9nyi Entropy and R\u00e9nyi Divergence in Sequential Effect Algebra","display_name":"R\u00e9nyi Entropy and R\u00e9nyi Divergence in Sequential Effect Algebra","publication_year":2020,"publication_date":"2020-06-01","ids":{"openalex":"https://openalex.org/W3082214321","doi":"https://doi.org/10.1142/s1230161220500080","mag":"3082214321"},"language":"en","primary_location":{"id":"doi:10.1142/s1230161220500080","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161220500080","pdf_url":null,"source":{"id":"https://openalex.org/S27332288","display_name":"Open Systems & Information Dynamics","issn_l":"1230-1612","issn":["1230-1612","1573-1324","1793-7191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Systems &amp; Information Dynamics","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/A5082653398","display_name":"Zahra Eslami Giski","orcid":null},"institutions":[{"id":"https://openalex.org/I4210137408","display_name":"Islamic Azad University, Sirjan Branch","ror":"https://ror.org/03nsj9897","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210137408"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Zahra Eslami Giski","raw_affiliation_strings":["Young Researchers and Elite Club, Sirjan Branch, Islamic Azad University, Sirjan, Iran"],"affiliations":[{"raw_affiliation_string":"Young Researchers and Elite Club, Sirjan Branch, Islamic Azad University, Sirjan, Iran","institution_ids":["https://openalex.org/I4210137408"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5082653398"],"corresponding_institution_ids":["https://openalex.org/I4210137408"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.13910951,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"27","issue":"02","first_page":"2050008","last_page":"2050008"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9939000010490417,"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"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9939000010490417,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9787999987602234,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.96670001745224,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/mathematics","display_name":"Mathematics","score":0.7439336180686951},{"id":"https://openalex.org/keywords/r\u00e9nyi-entropy","display_name":"R\u00e9nyi entropy","score":0.6557337641716003},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.6134204268455505},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.5543807148933411},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.541152834892273},{"id":"https://openalex.org/keywords/conditional-quantum-entropy","display_name":"Conditional quantum entropy","score":0.5096240043640137},{"id":"https://openalex.org/keywords/conditional-entropy","display_name":"Conditional entropy","score":0.4210556447505951},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3818769156932831},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3557547926902771},{"id":"https://openalex.org/keywords/joint-quantum-entropy","display_name":"Joint quantum entropy","score":0.32534950971603394},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32274630665779114},{"id":"https://openalex.org/keywords/maximum-entropy-thermodynamics","display_name":"Maximum entropy thermodynamics","score":0.19412854313850403},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.179235577583313},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12838312983512878},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07588538527488708},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.054557591676712036}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7439336180686951},{"id":"https://openalex.org/C142611142","wikidata":"https://www.wikidata.org/wiki/Q1433083","display_name":"R\u00e9nyi entropy","level":3,"score":0.6557337641716003},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.6134204268455505},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.5543807148933411},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.541152834892273},{"id":"https://openalex.org/C16609844","wikidata":"https://www.wikidata.org/wiki/Q5159273","display_name":"Conditional quantum entropy","level":5,"score":0.5096240043640137},{"id":"https://openalex.org/C101721835","wikidata":"https://www.wikidata.org/wiki/Q813908","display_name":"Conditional entropy","level":3,"score":0.4210556447505951},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3818769156932831},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3557547926902771},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.32534950971603394},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32274630665779114},{"id":"https://openalex.org/C49775889","wikidata":"https://www.wikidata.org/wiki/Q6795896","display_name":"Maximum entropy thermodynamics","level":4,"score":0.19412854313850403},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.179235577583313},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12838312983512878},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07588538527488708},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.054557591676712036},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1230161220500080","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161220500080","pdf_url":null,"source":{"id":"https://openalex.org/S27332288","display_name":"Open Systems & Information Dynamics","issn_l":"1230-1612","issn":["1230-1612","1573-1324","1793-7191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Systems &amp; Information Dynamics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1983469341","https://openalex.org/W1993574974","https://openalex.org/W1995806138","https://openalex.org/W1995875735","https://openalex.org/W2000080801","https://openalex.org/W2006061281","https://openalex.org/W2017406753","https://openalex.org/W2024125908","https://openalex.org/W2030092671","https://openalex.org/W2058849546","https://openalex.org/W2059678209","https://openalex.org/W2062843442","https://openalex.org/W2074412592","https://openalex.org/W2077498699","https://openalex.org/W2080412456","https://openalex.org/W2084374671","https://openalex.org/W2097618803","https://openalex.org/W2114921207","https://openalex.org/W2156057976","https://openalex.org/W2562759731","https://openalex.org/W2611579179","https://openalex.org/W2611940103","https://openalex.org/W2733911839","https://openalex.org/W2768511971","https://openalex.org/W2884921298","https://openalex.org/W2939820958","https://openalex.org/W2950349555","https://openalex.org/W3098707060","https://openalex.org/W3102179809","https://openalex.org/W3102739375","https://openalex.org/W3104903236","https://openalex.org/W3105757179"],"related_works":["https://openalex.org/W4283013026","https://openalex.org/W3099813660","https://openalex.org/W2340506160","https://openalex.org/W2883631711","https://openalex.org/W2062843442","https://openalex.org/W3041416733","https://openalex.org/W2189660299","https://openalex.org/W3098857864","https://openalex.org/W2516322363","https://openalex.org/W2045693826"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,24,36,53,63,66,79,96,109],"this":[3,31,80],"study":[4],"is":[5,73,87],"to":[6,21,118],"extend":[7],"the":[8,11,22,33,50,61,76,90,120],"results":[9],"concerning":[10],"Shannon":[12],"entropy":[13,26,35,55,95,115],"and":[14,27,43,49,75,93,113],"Kullback\u2013Leibler":[15,91],"divergence":[16,65,92,112],"in":[17,39,69,98],"sequential":[18,40,70,101],"effect":[19,41,71,102],"algebra":[20,42,72,103],"case":[23],"R\u00e9nyi":[25,28,34,64,111,114],"divergence.":[29],"For":[30],"purpose,":[32],"finite":[37],"partitions":[38,97],"its":[44],"conditional":[45],"version":[46],"are":[47,57,82,125],"proposed":[48],"basic":[51,77],"properties":[52,78],"these":[54],"measures":[56],"derived.":[58],"In":[59,84],"addition,":[60],"notion":[62],"a":[67,99],"partition":[68],"introduced":[74],"quantity":[81],"studied.":[83],"particular,":[85],"it":[86],"proved":[88],"that":[89],"Shannon\u2019s":[94],"given":[100],"can":[104],"be":[105],"obtained":[106],"as":[107],"limits":[108],"their":[110],"respectively.":[116],"Finally,":[117],"illustrate":[119],"results,":[121],"some":[122],"numerical":[123],"examples":[124],"presented.":[126]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
