{"id":"https://openalex.org/W2052826439","doi":"https://doi.org/10.1142/s0218488502001442","title":"GENERAL ENTROPY OF GENERAL MEASURES","display_name":"GENERAL ENTROPY OF GENERAL MEASURES","publication_year":2002,"publication_date":"2002-06-01","ids":{"openalex":"https://openalex.org/W2052826439","doi":"https://doi.org/10.1142/s0218488502001442","mag":"2052826439"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488502001442","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488502001442","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"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":"International Journal of Uncertainty, Fuzziness and Knowledge-Based 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/A5111584368","display_name":"Alexander Dukhovny","orcid":null},"institutions":[{"id":"https://openalex.org/I71838634","display_name":"San Francisco State University","ror":"https://ror.org/05ykr0121","country_code":"US","type":"education","lineage":["https://openalex.org/I71838634"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"ALEXANDER DUKHOVNY","raw_affiliation_strings":["Department of Mathematics, San Francisco State  University, San Francisco, CA 94132, USA","Department of Mathematics, San Francisco State University, San Francisco, CA 94132, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, San Francisco State  University, San Francisco, CA 94132, USA","institution_ids":["https://openalex.org/I71838634"]},{"raw_affiliation_string":"Department of Mathematics, San Francisco State University, San Francisco, CA 94132, USA","institution_ids":["https://openalex.org/I71838634"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111584368"],"corresponding_institution_ids":["https://openalex.org/I71838634"],"apc_list":null,"apc_paid":null,"fwci":1.9097,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.85102929,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"10","issue":"03","first_page":"213","last_page":"225"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9708999991416931,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9708999991416931,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9476000070571899,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11053","display_name":"Process Optimization and Integration","score":0.9405999779701233,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/mathematics","display_name":"Mathematics","score":0.7391422986984253},{"id":"https://openalex.org/keywords/information-diagram","display_name":"Information diagram","score":0.6078118085861206},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5884866118431091},{"id":"https://openalex.org/keywords/min-entropy","display_name":"Min entropy","score":0.47422003746032715},{"id":"https://openalex.org/keywords/conditional-entropy","display_name":"Conditional entropy","score":0.4699162542819977},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.4123914837837219},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3930791914463043},{"id":"https://openalex.org/keywords/entropy-rate","display_name":"Entropy rate","score":0.3277639150619507},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3266105055809021},{"id":"https://openalex.org/keywords/joint-quantum-entropy","display_name":"Joint quantum entropy","score":0.32494330406188965},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.319823682308197},{"id":"https://openalex.org/keywords/maximum-entropy-thermodynamics","display_name":"Maximum entropy thermodynamics","score":0.23542636632919312},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.19479230046272278},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16819265484809875},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.07387194037437439}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7391422986984253},{"id":"https://openalex.org/C67935508","wikidata":"https://www.wikidata.org/wiki/Q17078448","display_name":"Information diagram","level":5,"score":0.6078118085861206},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5884866118431091},{"id":"https://openalex.org/C196083917","wikidata":"https://www.wikidata.org/wiki/Q17103874","display_name":"Min entropy","level":5,"score":0.47422003746032715},{"id":"https://openalex.org/C101721835","wikidata":"https://www.wikidata.org/wiki/Q813908","display_name":"Conditional entropy","level":3,"score":0.4699162542819977},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.4123914837837219},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3930791914463043},{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.3277639150619507},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3266105055809021},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.32494330406188965},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.319823682308197},{"id":"https://openalex.org/C49775889","wikidata":"https://www.wikidata.org/wiki/Q6795896","display_name":"Maximum entropy thermodynamics","level":4,"score":0.23542636632919312},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.19479230046272278},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16819265484809875},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.07387194037437439},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218488502001442","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488502001442","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"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":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5400000214576721,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1995875735","https://openalex.org/W2006153939","https://openalex.org/W2052958516","https://openalex.org/W2064962332","https://openalex.org/W2151012776","https://openalex.org/W2153866468","https://openalex.org/W2994790477","https://openalex.org/W4207046354","https://openalex.org/W4233827051"],"related_works":["https://openalex.org/W2062003524","https://openalex.org/W2408450829","https://openalex.org/W4225584222","https://openalex.org/W4205235378","https://openalex.org/W2139507220","https://openalex.org/W3210135756","https://openalex.org/W2975122348","https://openalex.org/W2893443145","https://openalex.org/W2792451763","https://openalex.org/W2052826439"],"abstract_inverted_index":{"The":[0,73],"concept":[1],"of":[2,8,11,19,32,36,42,51,62,75,89,97,100],"entropy":[3,20,45,77,111],"is":[4,21,78,91],"an":[5],"important":[6],"part":[7],"the":[9,30,33,43,52,56,60,81,109,113],"theory":[10],"additive":[12,38],"measures.":[13,39],"In":[14],"this":[15,71],"paper,":[16],"a":[17,86,95],"definition":[18,74],"introduced":[22,67],"for":[23,84],"general":[24,44,65,76,101,110],"(not":[25],"necessarily":[26],"additive)":[27],"measures":[28,66,102],"as":[29],"infinum":[31],"Shannon":[34],"entropies":[35],"\"subordinate\"":[37],"Several":[40],"properties":[41,53],"are":[46],"discussed":[47],"and":[48,68,103],"proved.":[49,92],"Some":[50],"require":[54],"that":[55,105,107],"measure":[57],"belongs":[58],"to":[59,80],"class":[61],"so-called":[63],"\"equientropic\"":[64],"studied":[69],"in":[70,106],"paper.":[72],"extended":[79],"countable":[82],"case":[83,108],"which":[85],"sufficient":[87],"condition":[88],"convergence":[90],"We":[93],"introduce":[94],"method":[96],"\"conditional":[98],"combination\"":[99],"prove":[104],"possesses":[112],"\"subset":[114],"independence\"":[115],"property.":[116]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
