{"id":"https://openalex.org/W3216364739","doi":"https://doi.org/10.1109/tfuzz.2021.3128957","title":"Fuzzy Dispersion Entropy: A Nonlinear Measure for Signal Analysis","display_name":"Fuzzy Dispersion Entropy: A Nonlinear Measure for Signal Analysis","publication_year":2021,"publication_date":"2021-11-18","ids":{"openalex":"https://openalex.org/W3216364739","doi":"https://doi.org/10.1109/tfuzz.2021.3128957","mag":"3216364739"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2021.3128957","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2021.3128957","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy 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/A5080249908","display_name":"Mostafa Rostaghi","orcid":"https://orcid.org/0000-0003-0653-2326"},"institutions":[{"id":"https://openalex.org/I928334797","display_name":"Semnan University","ror":"https://ror.org/029gksw03","country_code":"IR","type":"education","lineage":["https://openalex.org/I928334797"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mostafa Rostaghi","raw_affiliation_strings":["Modal Analysis Research Laboratory, Faculty of Mechanical Engineering, Semnan University, Semnan, Iran"],"raw_orcid":"https://orcid.org/0000-0003-0653-2326","affiliations":[{"raw_affiliation_string":"Modal Analysis Research Laboratory, Faculty of Mechanical Engineering, Semnan University, Semnan, Iran","institution_ids":["https://openalex.org/I928334797"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030383436","display_name":"Mohammad Mahdi Khatibi","orcid":"https://orcid.org/0000-0002-9664-7890"},"institutions":[{"id":"https://openalex.org/I928334797","display_name":"Semnan University","ror":"https://ror.org/029gksw03","country_code":"IR","type":"education","lineage":["https://openalex.org/I928334797"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Mahdi Khatibi","raw_affiliation_strings":["Modal Analysis Research Laboratory, Faculty of Mechanical Engineering, Semnan University, Semnan, Iran"],"raw_orcid":"https://orcid.org/0000-0002-9664-7890","affiliations":[{"raw_affiliation_string":"Modal Analysis Research Laboratory, Faculty of Mechanical Engineering, Semnan University, Semnan, Iran","institution_ids":["https://openalex.org/I928334797"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086181485","display_name":"M. R. Ashory","orcid":"https://orcid.org/0000-0002-1706-1104"},"institutions":[{"id":"https://openalex.org/I928334797","display_name":"Semnan University","ror":"https://ror.org/029gksw03","country_code":"IR","type":"education","lineage":["https://openalex.org/I928334797"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Reza Ashory","raw_affiliation_strings":["Modal Analysis Research Laboratory, Faculty of Mechanical Engineering, Semnan University, Semnan, Iran"],"raw_orcid":"https://orcid.org/0000-0002-1706-1104","affiliations":[{"raw_affiliation_string":"Modal Analysis Research Laboratory, Faculty of Mechanical Engineering, Semnan University, Semnan, Iran","institution_ids":["https://openalex.org/I928334797"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080730972","display_name":"Hamed Azami","orcid":"https://orcid.org/0000-0001-7612-0840"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]},{"id":"https://openalex.org/I4210087915","display_name":"Massachusetts General Hospital","ror":"https://ror.org/002pd6e78","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I4210087915","https://openalex.org/I48633490"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hamed Azami","raw_affiliation_strings":["Massachusetts General Hospital, Harvard University, Boston, MA, USA"],"raw_orcid":"https://orcid.org/0000-0001-7612-0840","affiliations":[{"raw_affiliation_string":"Massachusetts General Hospital, Harvard University, Boston, MA, USA","institution_ids":["https://openalex.org/I4210087915","https://openalex.org/I136199984"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5080249908"],"corresponding_institution_ids":["https://openalex.org/I928334797"],"apc_list":null,"apc_paid":null,"fwci":3.9898,"has_fulltext":false,"cited_by_count":94,"citation_normalized_percentile":{"value":0.95209121,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"30","issue":"9","first_page":"3785","last_page":"3796"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9850000143051147,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9850000143051147,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9835000038146973,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9807000160217285,"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/sample-entropy","display_name":"Sample entropy","score":0.6572824120521545},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5297214388847351},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4863177239894867},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48081767559051514},{"id":"https://openalex.org/keywords/approximate-entropy","display_name":"Approximate entropy","score":0.4709428548812866},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.46394965052604675},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.44339966773986816},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4400854706764221},{"id":"https://openalex.org/keywords/maximum-entropy-spectral-estimation","display_name":"Maximum entropy spectral estimation","score":0.4390564560890198},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.43299853801727295},{"id":"https://openalex.org/keywords/differential-entropy","display_name":"Differential entropy","score":0.42988112568855286},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40605950355529785},{"id":"https://openalex.org/keywords/joint-entropy","display_name":"Joint entropy","score":0.37295496463775635},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.3709281086921692},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3658871650695801},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.2122650444507599},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12625208497047424}],"concepts":[{"id":"https://openalex.org/C66696666","wikidata":"https://www.wikidata.org/wiki/Q17105612","display_name":"Sample entropy","level":3,"score":0.6572824120521545},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5297214388847351},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4863177239894867},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48081767559051514},{"id":"https://openalex.org/C86859247","wikidata":"https://www.wikidata.org/wiki/Q4781760","display_name":"Approximate entropy","level":3,"score":0.4709428548812866},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.46394965052604675},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.44339966773986816},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4400854706764221},{"id":"https://openalex.org/C89735579","wikidata":"https://www.wikidata.org/wiki/Q6795894","display_name":"Maximum entropy spectral estimation","level":3,"score":0.4390564560890198},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.43299853801727295},{"id":"https://openalex.org/C124551494","wikidata":"https://www.wikidata.org/wiki/Q3055345","display_name":"Differential entropy","level":4,"score":0.42988112568855286},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40605950355529785},{"id":"https://openalex.org/C106752470","wikidata":"https://www.wikidata.org/wiki/Q1364826","display_name":"Joint entropy","level":3,"score":0.37295496463775635},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.3709281086921692},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3658871650695801},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.2122650444507599},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12625208497047424},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"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:10.1109/tfuzz.2021.3128957","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2021.3128957","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","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":47,"referenced_works":["https://openalex.org/W1512161016","https://openalex.org/W1862394037","https://openalex.org/W1979559241","https://openalex.org/W2014683958","https://openalex.org/W2032411228","https://openalex.org/W2040121225","https://openalex.org/W2041027275","https://openalex.org/W2053744708","https://openalex.org/W2053908484","https://openalex.org/W2060540122","https://openalex.org/W2084712551","https://openalex.org/W2088484096","https://openalex.org/W2157881370","https://openalex.org/W2162800060","https://openalex.org/W2164104048","https://openalex.org/W2167595074","https://openalex.org/W2273310283","https://openalex.org/W2326379997","https://openalex.org/W2333775360","https://openalex.org/W2413076713","https://openalex.org/W2530133016","https://openalex.org/W2610099500","https://openalex.org/W2627057354","https://openalex.org/W2746956234","https://openalex.org/W2787787377","https://openalex.org/W2792354770","https://openalex.org/W2808392264","https://openalex.org/W2890016903","https://openalex.org/W2890838230","https://openalex.org/W2899279252","https://openalex.org/W2909486758","https://openalex.org/W2917255080","https://openalex.org/W2929433786","https://openalex.org/W2947139633","https://openalex.org/W2951304985","https://openalex.org/W2953491588","https://openalex.org/W2964070924","https://openalex.org/W2974377656","https://openalex.org/W2991080016","https://openalex.org/W3002120511","https://openalex.org/W3010871941","https://openalex.org/W3014425564","https://openalex.org/W3015870702","https://openalex.org/W3027810384","https://openalex.org/W3070925597","https://openalex.org/W3105474450","https://openalex.org/W6728255800"],"related_works":["https://openalex.org/W2093589470","https://openalex.org/W2415751681","https://openalex.org/W1862394037","https://openalex.org/W2889925888","https://openalex.org/W2379823116","https://openalex.org/W2055455064","https://openalex.org/W2144603337","https://openalex.org/W2955910739","https://openalex.org/W2347321271","https://openalex.org/W26301252"],"abstract_inverted_index":{"Entropy":[0],"is":[1,35,104],"a":[2,26,50,89,117],"powerful":[3],"tool":[4],"for":[5,85,106],"nonlinear":[6],"analysis":[7],"of":[8,28,42,81,88,99,119,128,134,137,141,175,182,185,193,219],"time":[9,120],"series.":[10],"We":[11],"have":[12],"recently":[13],"introduced":[14,105],"dispersion":[15,75],"entropy":[16,66,76,93,211,214],"(DispEn),":[17],"which":[18],"has":[19,148],"widely":[20],"drawn":[21],"attention":[22],"from":[23],"researchers":[24],"in":[25,30,47,53,101,113,132,171,188,215,222],"variety":[27],"settings":[29],"data":[31],"analysis.":[32],"However,":[33],"DispEn":[34,131,205],"sensitive":[36],"to":[37,58,124,151,157,163],"its":[38],"parameters,":[39],"especially":[40],"number":[41],"classes":[43],"(quantization":[44],"level).":[45],"Additionally,":[46],"some":[48],"cases,":[49],"small":[51],"change":[52],"the":[54,61,79,86,97,107,126,135,138],"signal":[55,90,114,154],"amplitude":[56],"due":[57],"noise":[59,152],"changes":[60],"quantized":[62],"series":[63,121],"and":[64,91,153,191,195,212,224],"so":[65],"value.":[67],"To":[68],"address":[69],"these":[70],"limitations,":[71],"we":[72],"develop":[73],"fuzzy":[74,82],"(FuzzDispEn)":[77],"on":[78],"basis":[80],"membership":[83],"functions":[84],"quantization":[87],"Shannon":[92],"(ShEn).":[94],"In":[95],"FuzzDispEn,":[96],"concept":[98],"fuzzification":[100],"ShEn-based":[102],"methods":[103],"first":[108],"time.":[109],"Several":[110],"straightforward":[111],"concepts":[112],"processing":[115],"using":[116],"set":[118],"were":[122],"utilized":[123],"show":[125],"advantages":[127],"FuzzDispEn":[129,147,159,203],"over":[130],"terms":[133],"detection":[136,170,181,184,192],"dynamical":[139,220],"variability":[140],"signals.":[142],"The":[143,199],"results":[144,200],"showed":[145],"that":[146,202],"lower":[149],"sensitivity":[150],"length":[155],"compared":[156],"DispEn.":[158],"was":[160],"also":[161],"applied":[162],"five":[164],"real":[165,225],"world":[166],"applications:":[167],"mechanical":[168],"fault":[169,173],"gearbox,":[172],"diagnosis":[174],"rolling":[176],"element":[177],"bearings,":[178,183],"damage":[179],"level":[180],"blood":[186],"pressure":[187],"salt-sensitive":[189],"rats,":[190],"seizure":[194],"seizure-free":[196],"electroencephalographics":[197],"(EEGs).":[198],"suggest":[201],"outperforms":[204],"as":[206,208],"well":[207],"popular":[209],"sample":[210],"permutation":[213],"distinguishing":[216],"different":[217],"kinds":[218],"patterns":[221],"synthetic":[223],"data.":[226]},"counts_by_year":[{"year":2026,"cited_by_count":11},{"year":2025,"cited_by_count":34},{"year":2024,"cited_by_count":27},{"year":2023,"cited_by_count":20},{"year":2022,"cited_by_count":2}],"updated_date":"2026-05-13T08:25:38.343686","created_date":"2025-10-10T00:00:00"}