{"id":"https://openalex.org/W3186508998","doi":"https://doi.org/10.1109/tcsi.2021.3093537","title":"Opinion Diffusion in Two-Layer Interconnected Networks","display_name":"Opinion Diffusion in Two-Layer Interconnected Networks","publication_year":2021,"publication_date":"2021-07-13","ids":{"openalex":"https://openalex.org/W3186508998","doi":"https://doi.org/10.1109/tcsi.2021.3093537","mag":"3186508998"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2021.3093537","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2021.3093537","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Circuits and Systems I: Regular Papers","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/A5102286549","display_name":"Congying Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I118574674","display_name":"Jiangsu Normal University","ror":"https://ror.org/051hvcm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I118574674"]},{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Congying Liu","raw_affiliation_strings":["School of Mathematics and Statistics, Jiangsu Normal University, Jiangsu, China","School of Mathematics and Statistics, Wuhan University, Hubei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Jiangsu Normal University, Jiangsu, China","institution_ids":["https://openalex.org/I118574674"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Hubei, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001956640","display_name":"Xiaoqun Wu","orcid":"https://orcid.org/0000-0001-5065-6460"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoqun Wu","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Hubei, China"],"raw_orcid":"https://orcid.org/0000-0001-5065-6460","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Hubei, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075601265","display_name":"Ruiwu Niu","orcid":"https://orcid.org/0000-0002-0695-9007"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruiwu Niu","raw_affiliation_strings":["College of Mathematics and Statistics, Shenzhen University, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Shenzhen University, Shenzhen, China","institution_ids":["https://openalex.org/I180726961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036156842","display_name":"M. A. Aziz-Alaoui","orcid":"https://orcid.org/0000-0001-5198-4597"},"institutions":[{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. A. Aziz-Alaoui","raw_affiliation_strings":["Faculty of Science and Technology, LeHavre Normandie University, Le Havre, France"],"raw_orcid":"https://orcid.org/0000-0001-5198-4597","affiliations":[{"raw_affiliation_string":"Faculty of Science and Technology, LeHavre Normandie University, Le Havre, France","institution_ids":["https://openalex.org/I4210105918"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027725400","display_name":"Jinhu L\u00fc","orcid":"https://orcid.org/0000-0003-0275-8387"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinhu Lu","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, State Key Laboratory of Software Development Environment, and the Beijing Advanced Innovation Center for Big Data and Brain Computing, Beihang University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-0275-8387","affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, State Key Laboratory of Software Development Environment, and the Beijing Advanced Innovation Center for Big Data and Brain Computing, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9689,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.86822448,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"68","issue":"9","first_page":"3772","last_page":"3783"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":1.0,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":1.0,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9998000264167786,"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/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9745000004768372,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/layer","display_name":"Layer (electronics)","score":0.7319042682647705},{"id":"https://openalex.org/keywords/opinion-leadership","display_name":"Opinion leadership","score":0.6428881883621216},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.610198974609375},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5745167136192322},{"id":"https://openalex.org/keywords/fraction","display_name":"Fraction (chemistry)","score":0.5499682426452637},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45660901069641113},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25146833062171936},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.21410691738128662},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.13602328300476074},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11457192897796631},{"id":"https://openalex.org/keywords/social-science","display_name":"Social science","score":0.07863503694534302},{"id":"https://openalex.org/keywords/nanotechnology","display_name":"Nanotechnology","score":0.07528486847877502}],"concepts":[{"id":"https://openalex.org/C2779227376","wikidata":"https://www.wikidata.org/wiki/Q6505497","display_name":"Layer (electronics)","level":2,"score":0.7319042682647705},{"id":"https://openalex.org/C139268390","wikidata":"https://www.wikidata.org/wiki/Q1850904","display_name":"Opinion leadership","level":2,"score":0.6428881883621216},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.610198974609375},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5745167136192322},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.5499682426452637},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45660901069641113},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25146833062171936},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.21410691738128662},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.13602328300476074},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11457192897796631},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.07863503694534302},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.07528486847877502},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcsi.2021.3093537","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2021.3093537","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Circuits and Systems I: Regular Papers","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-05540610v1","is_oa":false,"landing_page_url":"https://hal.science/hal-05540610","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Circuits and Systems I: Regular Papers, 2021, 68 (9), pp.3772-3783. ⟨10.1109/TCSI.2021.3093537⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.8100000023841858,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G1283425618","display_name":null,"funder_award_id":"2018AAA0101100","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G2415565141","display_name":null,"funder_award_id":"61973241","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2826775739","display_name":null,"funder_award_id":"2019CFA007","funder_id":"https://openalex.org/F4320322186","funder_display_name":"Natural Science Foundation of Hubei Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322186","display_name":"Natural Science Foundation of Hubei Province","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W596251256","https://openalex.org/W1978501580","https://openalex.org/W1980401739","https://openalex.org/W1984688056","https://openalex.org/W1991894673","https://openalex.org/W1998692453","https://openalex.org/W2001236143","https://openalex.org/W2008620264","https://openalex.org/W2046511118","https://openalex.org/W2050766178","https://openalex.org/W2054539343","https://openalex.org/W2084988360","https://openalex.org/W2090322544","https://openalex.org/W2098005762","https://openalex.org/W2106309139","https://openalex.org/W2112090702","https://openalex.org/W2113096089","https://openalex.org/W2114482313","https://openalex.org/W2139865418","https://openalex.org/W2160643434","https://openalex.org/W2261717057","https://openalex.org/W2283907552","https://openalex.org/W2493103841","https://openalex.org/W2562168497","https://openalex.org/W2571941197","https://openalex.org/W2587812844","https://openalex.org/W2593940606","https://openalex.org/W2751844542","https://openalex.org/W2766145825","https://openalex.org/W2766481032","https://openalex.org/W2767603684","https://openalex.org/W2768800310","https://openalex.org/W2782855149","https://openalex.org/W2783372018","https://openalex.org/W2791154213","https://openalex.org/W2795130168","https://openalex.org/W2798587405","https://openalex.org/W2885917254","https://openalex.org/W2898150800","https://openalex.org/W2911668712","https://openalex.org/W2941597582","https://openalex.org/W2945094229","https://openalex.org/W2963715449","https://openalex.org/W2981865518","https://openalex.org/W2982071780","https://openalex.org/W3083024126","https://openalex.org/W3103589660","https://openalex.org/W3104180001","https://openalex.org/W3104275827","https://openalex.org/W3105226752","https://openalex.org/W3143219376","https://openalex.org/W3161573486","https://openalex.org/W4250134109","https://openalex.org/W6676950571","https://openalex.org/W6793127252"],"related_works":["https://openalex.org/W1580287907","https://openalex.org/W1191014223","https://openalex.org/W178140751","https://openalex.org/W1137063513","https://openalex.org/W4387682966","https://openalex.org/W3093605827","https://openalex.org/W2203654542","https://openalex.org/W2596941055","https://openalex.org/W2386949062","https://openalex.org/W2990497597"],"abstract_inverted_index":{"In":[0,74],"reality,":[1],"individuals":[2,118],"will":[3,61,139],"spread":[4,142,164],"their":[5,13,126],"opinions":[6,14,35,101,167],"by":[7,161],"word":[8],"of":[9,26,33,45,55,66,80,100,109,117,143,158,165,176,198],"mouth,":[10],"meanwhile":[11],"sharing":[12],"on":[15,105,114,122,173,185],"social":[16],"platforms.":[17],"To":[18],"gain":[19],"a":[20,30,37,199],"clear":[21],"insight":[22],"into":[23],"this":[24],"kind":[25],"behavior,":[27],"we":[28,154],"propose":[29],"diffusion":[31,95],"model":[32],"various":[34],"in":[36,58,70,83,90,148,189],"two-layer":[38,177],"interconnected":[39,178],"network":[40,46],"using":[41],"some":[42,186],"statistical":[43],"characteristics":[44],"structures.":[47],"Theoretical":[48],"analysis":[49,134],"reveals":[50],"that":[51,65,89,119,136,146],"the":[52,67,71,77,91,94,106,115,141,144,156,163,196],"final":[53,98],"fraction":[54,79],"any":[56],"opinion":[57,69,82,145],"one":[59,84],"layer":[60,85],"get":[62],"identical":[63],"to":[64,194],"same":[68],"other":[72,92],"layer.":[73],"particular,":[75],"when":[76],"seed":[78,107],"an":[81],"is":[86,147],"different":[87,123],"from":[88],"layer,":[93],"behavior":[96],"and":[97,130,191],"prevalence":[99,197],"not":[102],"only":[103],"rely":[104],"fractions":[108],"opinions,":[110],"but":[111],"also":[112],"depend":[113],"attributes":[116],"are":[120],"active":[121],"layers,":[124],"including":[125],"inter-layer":[127,170],"linking":[128,131,171],"patterns":[129,172],"number.":[132],"Further":[133],"shows":[135],"mass":[137],"media":[138],"promote":[140],"accordance":[149],"with":[150],"its":[151],"own.":[152],"Finally,":[153],"illustrate":[155],"effectiveness":[157],"analytical":[159],"results":[160],"simulating":[162],"two":[166],"under":[168],"four":[169],"three":[174],"types":[175],"networks.":[179],"The":[180],"findings":[181],"throw":[182],"new":[183],"light":[184],"interesting":[187],"phenomena":[188],"society,":[190],"facilitate":[192],"decision-makers":[193],"orientate":[195],"special":[200],"product.":[201]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}