{"id":"https://openalex.org/W4392174027","doi":"https://doi.org/10.1109/access.2024.3370472","title":"Cognitive Analysis of Neural Networks Using Fractional Metric Dimension and Applications","display_name":"Cognitive Analysis of Neural Networks Using Fractional Metric Dimension and Applications","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4392174027","doi":"https://doi.org/10.1109/access.2024.3370472"},"language":"en","primary_location":{"id":"doi:10.1109/access.2024.3370472","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/access.2024.3370472","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10445233.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10445233.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085815472","display_name":"Faiza Jamil","orcid":"https://orcid.org/0000-0002-6121-4219"},"institutions":[{"id":"https://openalex.org/I4210089805","display_name":"University of Management and Technology","ror":null,"country_code":"PK","type":null,"lineage":["https://openalex.org/I4210089805"]},{"id":"https://openalex.org/I87482320","display_name":"University of Management and Technology","ror":"https://ror.org/0095xcq10","country_code":"PK","type":"education","lineage":["https://openalex.org/I87482320"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Faiza Jamil","raw_affiliation_strings":["Department of Mathematics, University of Management and Technology, Johar Town, Lahore, Pakistan","Department of Mathematics, University of Management and Technology, C-II, Johar Town, Lahore, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Management and Technology, Johar Town, Lahore, Pakistan","institution_ids":["https://openalex.org/I4210089805"]},{"raw_affiliation_string":"Department of Mathematics, University of Management and Technology, C-II, Johar Town, Lahore, Pakistan","institution_ids":["https://openalex.org/I87482320"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024660661","display_name":"Agha Kashif","orcid":"https://orcid.org/0000-0002-1097-3450"},"institutions":[{"id":"https://openalex.org/I4210089805","display_name":"University of Management and Technology","ror":null,"country_code":"PK","type":null,"lineage":["https://openalex.org/I4210089805"]},{"id":"https://openalex.org/I87482320","display_name":"University of Management and Technology","ror":"https://ror.org/0095xcq10","country_code":"PK","type":"education","lineage":["https://openalex.org/I87482320"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Agha Kashif","raw_affiliation_strings":["Department of Mathematics, University of Management and Technology, Johar Town, Lahore, Pakistan","Department of Mathematics, University of Management and Technology, C-II, Johar Town, Lahore, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-1097-3450","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Management and Technology, Johar Town, Lahore, Pakistan","institution_ids":["https://openalex.org/I4210089805"]},{"raw_affiliation_string":"Department of Mathematics, University of Management and Technology, C-II, Johar Town, Lahore, Pakistan","institution_ids":["https://openalex.org/I87482320"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102920014","display_name":"Omar Alharbi","orcid":"https://orcid.org/0000-0003-4583-1863"},"institutions":[{"id":"https://openalex.org/I195631090","display_name":"Majmaah University","ror":"https://ror.org/01mcrnj60","country_code":"SA","type":"education","lineage":["https://openalex.org/I195631090"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Omar Alharbi","raw_affiliation_strings":["Department of Electrical Engineering, College of Engineering, Majmaah University, Al-Majma&#x2019;ah, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0003-4583-1863","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, College of Engineering, Majmaah University, Al-Majma&#x2019;ah, Saudi Arabia","institution_ids":["https://openalex.org/I195631090"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087407068","display_name":"Sohail Zafar","orcid":null},"institutions":[{"id":"https://openalex.org/I4210089805","display_name":"University of Management and Technology","ror":null,"country_code":"PK","type":null,"lineage":["https://openalex.org/I4210089805"]},{"id":"https://openalex.org/I87482320","display_name":"University of Management and Technology","ror":"https://ror.org/0095xcq10","country_code":"PK","type":"education","lineage":["https://openalex.org/I87482320"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Sohail Zafar","raw_affiliation_strings":["Department of Mathematics, University of Management and Technology, Johar Town, Lahore, Pakistan","Department of Mathematics, University of Management and Technology, C-II, Johar Town, Lahore, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-8177-7799","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Management and Technology, Johar Town, Lahore, Pakistan","institution_ids":["https://openalex.org/I4210089805"]},{"raw_affiliation_string":"Department of Mathematics, University of Management and Technology, C-II, Johar Town, Lahore, Pakistan","institution_ids":["https://openalex.org/I87482320"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035743797","display_name":"Amer Aljaedi","orcid":"https://orcid.org/0000-0003-4099-5025"},"institutions":[{"id":"https://openalex.org/I72264486","display_name":"University of Tabuk","ror":"https://ror.org/04yej8x59","country_code":"SA","type":"education","lineage":["https://openalex.org/I72264486"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Amer Aljaedi","raw_affiliation_strings":["College of Computing and Information Technology, University of Tabuk, Tabuk, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0003-4099-5025","affiliations":[{"raw_affiliation_string":"College of Computing and Information Technology, University of Tabuk, Tabuk, Saudi Arabia","institution_ids":["https://openalex.org/I72264486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029209730","display_name":"Yazeed Qasaymeh","orcid":"https://orcid.org/0000-0002-4096-4707"},"institutions":[{"id":"https://openalex.org/I195631090","display_name":"Majmaah University","ror":"https://ror.org/01mcrnj60","country_code":"SA","type":"education","lineage":["https://openalex.org/I195631090"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Yazeed Mohammad Qasaymeh","raw_affiliation_strings":["Department of Electrical Engineering, College of Engineering, Majmaah University, Al-Majma&#x2019;ah, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-4096-4707","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, College of Engineering, Majmaah University, Al-Majma&#x2019;ah, Saudi Arabia","institution_ids":["https://openalex.org/I195631090"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03047732,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":null,"first_page":"37513","last_page":"37520"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9279999732971191,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.911899983882904,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6372389197349548},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6025479435920715},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5707355737686157},{"id":"https://openalex.org/keywords/cognition","display_name":"Cognition","score":0.453615665435791},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.44396743178367615},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3461908996105194},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24490949511528015},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.08423572778701782},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08318266272544861}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6372389197349548},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6025479435920715},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5707355737686157},{"id":"https://openalex.org/C169900460","wikidata":"https://www.wikidata.org/wiki/Q2200417","display_name":"Cognition","level":2,"score":0.453615665435791},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.44396743178367615},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3461908996105194},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24490949511528015},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.08423572778701782},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08318266272544861},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2024.3370472","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/access.2024.3370472","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10445233.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ae57d87fef714e438bacb4e7ac1dce60","is_oa":true,"landing_page_url":"https://doaj.org/article/ae57d87fef714e438bacb4e7ac1dce60","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 12, Pp 37513-37520 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2024.3370472","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/access.2024.3370472","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10445233.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392174027.pdf","grobid_xml":"https://content.openalex.org/works/W4392174027.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W1973911938","https://openalex.org/W1987113808","https://openalex.org/W2023570253","https://openalex.org/W2026014023","https://openalex.org/W2037298352","https://openalex.org/W2045744171","https://openalex.org/W2059749917","https://openalex.org/W2073490544","https://openalex.org/W2077660553","https://openalex.org/W2086552038","https://openalex.org/W2105232761","https://openalex.org/W2162291589","https://openalex.org/W2263406265","https://openalex.org/W2493040154","https://openalex.org/W2886902684","https://openalex.org/W2908632759","https://openalex.org/W2941263835","https://openalex.org/W2978695432","https://openalex.org/W2990034176","https://openalex.org/W3088010465","https://openalex.org/W3089126889","https://openalex.org/W3126135785","https://openalex.org/W3172015510","https://openalex.org/W3215578545","https://openalex.org/W4286285238","https://openalex.org/W4289821985","https://openalex.org/W6741076065","https://openalex.org/W6768297981","https://openalex.org/W6770270118"],"related_works":["https://openalex.org/W1987895267","https://openalex.org/W2350519135","https://openalex.org/W2391251536","https://openalex.org/W2390619334","https://openalex.org/W2362198218","https://openalex.org/W1982750869","https://openalex.org/W2019521278","https://openalex.org/W1984922432","https://openalex.org/W2052190160","https://openalex.org/W2375008505"],"abstract_inverted_index":{"Fractional":[0],"versions":[1],"of":[2,32,38,57,63,84,97,124,134,150,181,192,215],"metric":[3,77,144,148],"related":[4,78],"parameters":[5,34,52,79],"have":[6,18,139,170],"been":[7,140,171],"introduced":[8],"as":[9,47,69,213],"an":[10,174],"equivalent":[11],"to":[12,86],"solve":[13],"linear":[14,72],"optimization":[15,117],"problems":[16],"which":[17,59],"applications":[19],"in":[20,35,41,65,82,103,178,195,203],"various":[21,33],"fields":[22],"like":[23],"computer":[24],"science":[25],"and":[26,30,71,93,122,160,198],"chemistry.":[27],"The":[28,95,146],"understanding":[29],"analysis":[31,133],"the":[36,43,48,54,61,66,76,128,131,179,189,216],"context":[37,180],"networks":[39,58,99,121,138,153,163,185],"involved":[40],"transmitting":[42],"data":[44,107],"is":[45,176],"referred":[46],"cognitive":[49,111,132],"analysis.":[50],"These":[51],"analyze":[53],"abstract":[55],"structures":[56],"widens":[60],"scope":[62],"application":[64,96,175],"areas":[67,105],"such":[68],"networking":[70],"optimization.":[73],"In":[74,127],"particular,":[75],"are":[80,186],"used":[81],"navigation":[83],"robots":[85],"their":[87],"destinations":[88],"by":[89],"minimum":[90],"utilization":[91],"time":[92],"nodes.":[94],"neural":[98,137,152,162,218],"can":[100],"be":[101],"seen":[102],"diverse":[104],"including":[106],"flow":[108],"optimization,":[109],"healthcare,":[110],"psychology,":[112],"geographical":[113],"routing,":[114],"supply":[115],"chain":[116],"problems,":[118],"wireless":[119],"communication":[120],"Internet":[123],"Things":[125],"(IoT).":[126],"current":[129],"work,":[130],"certain":[135],"artificial":[136,217],"conducted":[141],"using":[142],"fractional":[143,147],"dimension.":[145],"dimension":[149],"probabilistic":[151],"<inline-formula":[154,164],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[155,165],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[156,166],"<tex-math":[157,167],"notation=\"LaTeX\">$P_{n,k}^{m}$":[158],"</tex-math></inline-formula>":[159,169],"convolutional":[161],"notation=\"LaTeX\">$C_{n,k}^{m}$":[168],"computed.":[172],"Further,":[173],"discussed":[177],"IoT":[182],"where":[183],"sensor":[184,201],"deployed":[187],"for":[188],"optimal":[190],"installation":[191],"base":[193],"stations":[194],"a":[196,204],"fire":[197],"smoke":[199],"monitoring":[200],"system":[202],"3-":[205],"storey":[206],"hospital":[207],"building":[208],"with":[209],"each":[210],"floor":[211],"considered":[212],"layer":[214],"network.":[219]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}