{"id":"https://openalex.org/W4366983204","doi":"https://doi.org/10.3233/jifs-230472","title":"Picture fuzzy Choquet integral based Einstein operations and its application in selection of the best mobile apps for online education","display_name":"Picture fuzzy Choquet integral based Einstein operations and its application in selection of the best mobile apps for online education","publication_year":2023,"publication_date":"2023-04-25","ids":{"openalex":"https://openalex.org/W4366983204","doi":"https://doi.org/10.3233/jifs-230472"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-230472","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-230472","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; 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/A5078733727","display_name":"K. Deva","orcid":null},"institutions":[{"id":"https://openalex.org/I145286018","display_name":"SRM Institute of Science and Technology","ror":"https://ror.org/050113w36","country_code":"IN","type":"education","lineage":["https://openalex.org/I145286018"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"K. Deva","raw_affiliation_strings":["Department of Mathematics, SRM Institute of Science and Technology, Faculty of Engineering and Technology, Kattankulathur, Chengalpattu District, Tamil Nadu, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, SRM Institute of Science and Technology, Faculty of Engineering and Technology, Kattankulathur, Chengalpattu District, Tamil Nadu, India","institution_ids":["https://openalex.org/I145286018"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057721209","display_name":"S. Mohanaselvi","orcid":"https://orcid.org/0000-0003-4197-3856"},"institutions":[{"id":"https://openalex.org/I145286018","display_name":"SRM Institute of Science and Technology","ror":"https://ror.org/050113w36","country_code":"IN","type":"education","lineage":["https://openalex.org/I145286018"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"S. Mohanaselvi","raw_affiliation_strings":["Department of Mathematics, SRM Institute of Science and Technology, Faculty of Engineering and Technology, Kattankulathur, Chengalpattu District, Tamil Nadu, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, SRM Institute of Science and Technology, Faculty of Engineering and Technology, Kattankulathur, Chengalpattu District, Tamil Nadu, India","institution_ids":["https://openalex.org/I145286018"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5057721209"],"corresponding_institution_ids":["https://openalex.org/I145286018"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05118007,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"1","first_page":"477","last_page":"490"},"is_retracted":true,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9398999810218811,"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/choquet-integral","display_name":"Choquet integral","score":0.9563159942626953},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.7651621103286743},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.6706809401512146},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5956553816795349},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.5685966610908508},{"id":"https://openalex.org/keywords/einstein","display_name":"Einstein","score":0.557135283946991},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4895845353603363},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4356156885623932},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3413153290748596},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3354639410972595},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.2800942063331604},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.2581261396408081},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24702277779579163},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12104851007461548}],"concepts":[{"id":"https://openalex.org/C112799922","wikidata":"https://www.wikidata.org/wiki/Q5104911","display_name":"Choquet integral","level":3,"score":0.9563159942626953},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.7651621103286743},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.6706809401512146},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5956553816795349},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.5685966610908508},{"id":"https://openalex.org/C146846114","wikidata":"https://www.wikidata.org/wiki/Q901448","display_name":"Einstein","level":2,"score":0.557135283946991},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4895845353603363},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4356156885623932},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3413153290748596},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3354639410972595},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.2800942063331604},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.2581261396408081},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24702277779579163},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12104851007461548},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-230472","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-230472","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.46000000834465027,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1489487994","https://openalex.org/W1980564456","https://openalex.org/W2087991154","https://openalex.org/W2089953456","https://openalex.org/W2463044584","https://openalex.org/W2624112931","https://openalex.org/W2734543528","https://openalex.org/W2773499538","https://openalex.org/W2784775847","https://openalex.org/W2885009725","https://openalex.org/W2896634720","https://openalex.org/W2900419240","https://openalex.org/W2906129818","https://openalex.org/W2911066936","https://openalex.org/W2955299959","https://openalex.org/W2999125108","https://openalex.org/W3011710793","https://openalex.org/W3013312615","https://openalex.org/W3099717361","https://openalex.org/W3183844353","https://openalex.org/W3204698454","https://openalex.org/W3217336620","https://openalex.org/W4206537762","https://openalex.org/W4211007335","https://openalex.org/W4229447484","https://openalex.org/W4280580218","https://openalex.org/W4316019762","https://openalex.org/W4319068825","https://openalex.org/W6645914205","https://openalex.org/W6748582889","https://openalex.org/W6754950443"],"related_works":["https://openalex.org/W2031391348","https://openalex.org/W2135117476","https://openalex.org/W2352838457","https://openalex.org/W2379272961","https://openalex.org/W2022701698","https://openalex.org/W3205429492","https://openalex.org/W2048944423","https://openalex.org/W2125156511","https://openalex.org/W3033668314","https://openalex.org/W3201497215"],"abstract_inverted_index":{"Picture":[0],"fuzzy":[1,55,64],"aggregation":[2,34,58,68],"operators":[3,35,75,84,90,115,123],"are":[4,141],"the":[5,10,37,43,51,80,83,93,104,121,129,132,145,150],"standard":[6],"mathematical":[7],"tools":[8],"for":[9,106,136],"combination":[11],"of":[12,39,73,82,97,120,131,149],"several":[13],"inputs":[14],"with":[15,70,85,128],"respect":[16],"to":[17,126,143],"attributes":[18,44,98],"into":[19],"one":[20],"unique":[21],"output.":[22],"The":[23,88,118],"Choquet":[24,52,61],"integral":[25,53,62],"operator":[26,59,69],"has":[27],"been":[28],"proven":[29],"more":[30],"ideal":[31],"than":[32],"traditional":[33],"in":[36,45,99],"modelling":[38],"interaction":[40],"phenomena":[41],"among":[42],"decision-making":[46,110],"problems.":[47],"Firstly,":[48],"we":[49],"propose":[50],"picture":[54,63],"Einstein":[56,65],"geometric":[57,67],"and":[60,147],"ordered":[66],"certain":[71],"properties":[72],"these":[74],"being":[76],"established.":[77],"We":[78],"validate":[79],"functioning":[81],"illustrative":[86],"examples.":[87],"proposed":[89,114,122,151],"clearly":[91],"capture":[92],"comprehensive":[94],"correlative":[95],"relationships":[96],"a":[100,107],"simpler":[101],"manner.":[102],"Furthermore,":[103],"algorithm":[105],"multi":[108],"attribute":[109],"problem":[111],"based":[112],"on":[113],"is":[116],"given.":[117],"application":[119],"was":[124],"explored":[125],"deal":[127],"selection":[130],"best":[133],"mobile":[134],"apps":[135],"online":[137],"education.":[138],"Finally,":[139],"comparisons":[140],"conducted":[142],"illustrate":[144],"discussion":[146],"advantages":[148],"operators.":[152]},"counts_by_year":[],"updated_date":"2026-01-30T23:17:42.513302","created_date":"2025-10-10T00:00:00"}
