{"id":"https://openalex.org/W4313555435","doi":"https://doi.org/10.1007/s10489-022-04407-1","title":"Belief entropy rate: a method to measure the uncertainty of interval-valued stochastic processes","display_name":"Belief entropy rate: a method to measure the uncertainty of interval-valued stochastic processes","publication_year":2023,"publication_date":"2023-01-05","ids":{"openalex":"https://openalex.org/W4313555435","doi":"https://doi.org/10.1007/s10489-022-04407-1"},"language":"en","primary_location":{"id":"doi:10.1007/s10489-022-04407-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10489-022-04407-1","pdf_url":null,"source":{"id":"https://openalex.org/S74726891","display_name":"Applied Intelligence","issn_l":"0924-669X","issn":["0924-669X","1573-7497"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Intelligence","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/A5100462279","display_name":"Zhiyuan Wang","orcid":"https://orcid.org/0000-0001-7167-9055"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhiyuan Wang","raw_affiliation_strings":["Institute of Fundamental and Frontier Science, UESTC, Chengdu, 610054, China","Yingcai Honors College, UESTC, Chengdu, 610054, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Fundamental and Frontier Science, UESTC, Chengdu, 610054, China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"Yingcai Honors College, UESTC, Chengdu, 610054, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032529747","display_name":"Qianli Zhou","orcid":"https://orcid.org/0000-0001-5087-3617"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qianli Zhou","raw_affiliation_strings":["Institute of Fundamental and Frontier Science, UESTC, Chengdu, 610054, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Fundamental and Frontier Science, UESTC, Chengdu, 610054, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100741983","display_name":"Yong Deng","orcid":"https://orcid.org/0000-0001-9286-2123"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]},{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]},{"id":"https://openalex.org/I4210095228","display_name":"Xi'an Physical Education University","ror":"https://ror.org/00pt5by23","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210095228"]}],"countries":["CH","CN"],"is_corresponding":false,"raw_author_name":"Yong Deng","raw_affiliation_strings":["Department of Management, Technology, and Economics, ETH Zurich, Zurich, 8093, Switzerland","Institute of Fundamental and Frontier Science, UESTC, Chengdu, 610054, China","School of Education, SNNU, Xi\u2019an, 710062, China"],"raw_orcid":"https://orcid.org/0000-0001-9286-2123","affiliations":[{"raw_affiliation_string":"Department of Management, Technology, and Economics, ETH Zurich, Zurich, 8093, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Institute of Fundamental and Frontier Science, UESTC, Chengdu, 610054, China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"School of Education, SNNU, Xi\u2019an, 710062, China","institution_ids":["https://openalex.org/I4210095228"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100462279"],"corresponding_institution_ids":["https://openalex.org/I150229711"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.3773,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.81087737,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"53","issue":"14","first_page":"17476","last_page":"17491"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9878000020980835,"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"}},{"id":"https://openalex.org/T11220","display_name":"Water Systems and Optimization","score":0.9775999784469604,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/entropy-rate","display_name":"Entropy rate","score":0.77121901512146},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6117960810661316},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5555322170257568},{"id":"https://openalex.org/keywords/joint-entropy","display_name":"Joint entropy","score":0.5114001631736755},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5015170574188232},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.49689772725105286},{"id":"https://openalex.org/keywords/differential-entropy","display_name":"Differential entropy","score":0.4843834340572357},{"id":"https://openalex.org/keywords/min-entropy","display_name":"Min entropy","score":0.4826124608516693},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.46140947937965393},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45956188440322876},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4385942816734314},{"id":"https://openalex.org/keywords/maximum-entropy-probability-distribution","display_name":"Maximum entropy probability distribution","score":0.43372803926467896},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.39602163434028625},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.3831518590450287},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3547635078430176},{"id":"https://openalex.org/keywords/binary-entropy-function","display_name":"Binary entropy function","score":0.3531769812107086},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2484346330165863}],"concepts":[{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.77121901512146},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6117960810661316},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5555322170257568},{"id":"https://openalex.org/C106752470","wikidata":"https://www.wikidata.org/wiki/Q1364826","display_name":"Joint entropy","level":3,"score":0.5114001631736755},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5015170574188232},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.49689772725105286},{"id":"https://openalex.org/C124551494","wikidata":"https://www.wikidata.org/wiki/Q3055345","display_name":"Differential entropy","level":4,"score":0.4843834340572357},{"id":"https://openalex.org/C196083917","wikidata":"https://www.wikidata.org/wiki/Q17103874","display_name":"Min entropy","level":5,"score":0.4826124608516693},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.46140947937965393},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45956188440322876},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4385942816734314},{"id":"https://openalex.org/C60507348","wikidata":"https://www.wikidata.org/wiki/Q6795892","display_name":"Maximum entropy probability distribution","level":3,"score":0.43372803926467896},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.39602163434028625},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.3831518590450287},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3547635078430176},{"id":"https://openalex.org/C44415725","wikidata":"https://www.wikidata.org/wiki/Q4913893","display_name":"Binary entropy function","level":3,"score":0.3531769812107086},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2484346330165863},{"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":1,"locations":[{"id":"doi:10.1007/s10489-022-04407-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10489-022-04407-1","pdf_url":null,"source":{"id":"https://openalex.org/S74726891","display_name":"Applied Intelligence","issn_l":"0924-669X","issn":["0924-669X","1573-7497"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Intelligence","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8015633022","display_name":null,"funder_award_id":"61973332","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":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W152717443","https://openalex.org/W1965832725","https://openalex.org/W1970694313","https://openalex.org/W1991119456","https://openalex.org/W2040149775","https://openalex.org/W2049337423","https://openalex.org/W2071465760","https://openalex.org/W2117079761","https://openalex.org/W2124775068","https://openalex.org/W2129048010","https://openalex.org/W2170750938","https://openalex.org/W2176632791","https://openalex.org/W2567406627","https://openalex.org/W2580767461","https://openalex.org/W2590498657","https://openalex.org/W2623004180","https://openalex.org/W2753546593","https://openalex.org/W2775180528","https://openalex.org/W2884768255","https://openalex.org/W2913617953","https://openalex.org/W2962821089","https://openalex.org/W2964216649","https://openalex.org/W2965954464","https://openalex.org/W2978725006","https://openalex.org/W3015634218","https://openalex.org/W3027870893","https://openalex.org/W3033468048","https://openalex.org/W3080250612","https://openalex.org/W3095296270","https://openalex.org/W3194524949","https://openalex.org/W3215772821","https://openalex.org/W4205127297","https://openalex.org/W4205662564","https://openalex.org/W4210420716","https://openalex.org/W4221000067","https://openalex.org/W4226181437","https://openalex.org/W4244651853","https://openalex.org/W4283013932","https://openalex.org/W4283793317","https://openalex.org/W4283802129","https://openalex.org/W4292559472","https://openalex.org/W4295419498","https://openalex.org/W4301347335","https://openalex.org/W4304468136"],"related_works":["https://openalex.org/W862060148","https://openalex.org/W2898188192","https://openalex.org/W2127945237","https://openalex.org/W3185559999","https://openalex.org/W2952724564","https://openalex.org/W2139507220","https://openalex.org/W4313555435","https://openalex.org/W2026360404","https://openalex.org/W2955910739","https://openalex.org/W2124218657"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
