{"id":"https://openalex.org/W2751998836","doi":"https://doi.org/10.1145/3102304.3102320","title":"Measuring the Complexity of Chaotic Time Series by Fuzzy Entropy","display_name":"Measuring the Complexity of Chaotic Time Series by Fuzzy Entropy","publication_year":2017,"publication_date":"2017-07-19","ids":{"openalex":"https://openalex.org/W2751998836","doi":"https://doi.org/10.1145/3102304.3102320","mag":"2751998836"},"language":"en","primary_location":{"id":"doi:10.1145/3102304.3102320","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3102304.3102320","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Conference on Future Networks and Distributed Systems","raw_type":"proceedings-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/A5100441352","display_name":"Chenxi Li","orcid":"https://orcid.org/0000-0002-9106-8048"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chenxi Li","raw_affiliation_strings":["State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100697315","display_name":"Zan Li","orcid":"https://orcid.org/0000-0002-5207-6504"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zan Li","raw_affiliation_strings":["State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042183747","display_name":"Lei Guan","orcid":"https://orcid.org/0000-0001-7191-887X"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Guan","raw_affiliation_strings":["State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058177640","display_name":"Peihan Qi","orcid":"https://orcid.org/0000-0001-8686-3090"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peihan Qi","raw_affiliation_strings":["State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009796023","display_name":"Jiangbo Si","orcid":"https://orcid.org/0000-0002-7419-4042"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiangbo Si","raw_affiliation_strings":["State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037107704","display_name":"Benjian Hao","orcid":"https://orcid.org/0000-0002-6676-7306"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Benjian Hao","raw_affiliation_strings":["State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100441352"],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.12255379,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9983999729156494,"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/T10244","display_name":"Chaos control and synchronization","score":0.9983999729156494,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9907000064849854,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.8145962953567505},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.709765613079071},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6557806730270386},{"id":"https://openalex.org/keywords/chaos-theory","display_name":"Chaos theory","score":0.5830429196357727},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5786137580871582},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5509792566299438},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4804660677909851},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.47333982586860657},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.47193118929862976},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.45292723178863525},{"id":"https://openalex.org/keywords/information-diagram","display_name":"Information diagram","score":0.41783276200294495},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24436724185943604},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2351771891117096},{"id":"https://openalex.org/keywords/binary-entropy-function","display_name":"Binary entropy function","score":0.21319687366485596},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.18602615594863892},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.14640897512435913}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.8145962953567505},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.709765613079071},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6557806730270386},{"id":"https://openalex.org/C92866567","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaos theory","level":3,"score":0.5830429196357727},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5786137580871582},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5509792566299438},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4804660677909851},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.47333982586860657},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.47193118929862976},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.45292723178863525},{"id":"https://openalex.org/C67935508","wikidata":"https://www.wikidata.org/wiki/Q17078448","display_name":"Information diagram","level":5,"score":0.41783276200294495},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24436724185943604},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2351771891117096},{"id":"https://openalex.org/C44415725","wikidata":"https://www.wikidata.org/wiki/Q4913893","display_name":"Binary entropy function","level":3,"score":0.21319687366485596},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.18602615594863892},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.14640897512435913},{"id":"https://openalex.org/C49775889","wikidata":"https://www.wikidata.org/wiki/Q6795896","display_name":"Maximum entropy thermodynamics","level":4,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3102304.3102320","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3102304.3102320","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Conference on Future Networks and Distributed Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8772539257","display_name":null,"funder_award_id":"2016M592755","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1437164499","https://openalex.org/W1677149333","https://openalex.org/W1862394037","https://openalex.org/W1998727969","https://openalex.org/W2006803905","https://openalex.org/W2025266594","https://openalex.org/W2052451333","https://openalex.org/W2077204677","https://openalex.org/W2077770566","https://openalex.org/W2107655780","https://openalex.org/W2126798220","https://openalex.org/W2157915717","https://openalex.org/W2165889900","https://openalex.org/W2398714011","https://openalex.org/W2532255518","https://openalex.org/W3141827490","https://openalex.org/W4247454733"],"related_works":["https://openalex.org/W2075237332","https://openalex.org/W4239114978","https://openalex.org/W1981741235","https://openalex.org/W2090917860","https://openalex.org/W2219576803","https://openalex.org/W276706737","https://openalex.org/W2141902522","https://openalex.org/W1533674189","https://openalex.org/W2364457339","https://openalex.org/W2995349888"],"abstract_inverted_index":{"A":[0],"bridge":[1],"called":[2],"chaotic":[3,71,84,130],"time":[4,85,131],"series":[5,86,132],"connects":[6],"the":[7,41,47,53,68,79,83,88,106,110,129,135,150,163,167],"chaos":[8,16],"theory":[9,72],"and":[10,37,46,113,144],"real":[11],"world.":[12],"The":[13,90,140],"properties":[14],"of":[15,44,70,82,92,122,142,162,166],"make":[17,97],"a":[18,60,123,159],"natural":[19],"relationship":[20],"with":[21],"security":[22,54],"problem":[23,55],"about":[24,56],"information,":[25],"such":[26],"as":[27],"sensitive":[28],"dependence":[29],"on":[30,134],"initial":[31],"conditions,":[32],"unpredictable":[33],"result":[34],"for":[35],"long":[36],"so":[38],"on.":[39],"With":[40],"rapid":[42],"development":[43],"communication":[45,104],"Internet":[48],"technologies":[49],"in":[50,63,101],"information":[51,57],"time,":[52],"has":[58],"become":[59,87],"hot":[61],"focus":[62],"our":[64],"daily":[65],"life.":[66],"Accordingly":[67],"implementation":[69],"is":[73,94,138,149],"becoming":[74],"widely":[75],"used,":[76],"which":[77],"makes":[78,109,154],"complexity":[80,93,108,125],"analysis":[81,145],"highlights.":[89],"meaning":[91],"hard":[95,114],"to":[96,115,127,157],"sense.":[98],"When":[99],"applied":[100],"high-security":[102],"multiple-access":[103],"systems,":[105],"high":[107],"sequence":[111],"obscure":[112],"analysis.":[116],"In":[117],"this":[118],"paper,":[119],"an":[120],"introduction":[121],"new":[124],"measurement":[126],"evaluate":[128],"based":[133],"Fuzzy":[136],"Entropy":[137],"given.":[139],"results":[141],"simulations":[143],"illustrates":[146],"that,":[147],"it":[148,155],"FuzzyEn":[151],"scheme":[152],"that":[153],"possible":[156],"have":[158],"better":[160],"understanding":[161],"changing":[164],"complexities":[165],"sequences.":[168]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}