{"id":"https://openalex.org/W4415501727","doi":"https://doi.org/10.1007/s40747-025-02104-3","title":"Modeling uncertainty in course selection using singular value decomposition-based energy measures within neutrosophic frameworks","display_name":"Modeling uncertainty in course selection using singular value decomposition-based energy measures within neutrosophic frameworks","publication_year":2025,"publication_date":"2025-10-24","ids":{"openalex":"https://openalex.org/W4415501727","doi":"https://doi.org/10.1007/s40747-025-02104-3"},"language":"en","primary_location":{"id":"doi:10.1007/s40747-025-02104-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-025-02104-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-025-02104-3.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex &amp; Intelligent Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://link.springer.com/content/pdf/10.1007/s40747-025-02104-3.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068299591","display_name":"Tmader Alballa","orcid":"https://orcid.org/0000-0002-0776-2652"},"institutions":[{"id":"https://openalex.org/I106778892","display_name":"Princess Nourah bint Abdulrahman University","ror":"https://ror.org/05b0cyh02","country_code":"SA","type":"education","lineage":["https://openalex.org/I106778892"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Tmader Alballa","raw_affiliation_strings":["Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671, Saudi Arabia","institution_ids":["https://openalex.org/I106778892"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109388930","display_name":"Ali Asghar","orcid":"https://orcid.org/0009-0006-8504-0512"},"institutions":[{"id":"https://openalex.org/I4210100043","display_name":"Superior University","ror":"https://ror.org/00yh88643","country_code":"PK","type":"education","lineage":["https://openalex.org/I4210100043"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Ali Asghar","raw_affiliation_strings":["Faculty of Science, Superior University Lahore, Lahore, 54000, Punjab, Pakistan"],"affiliations":[{"raw_affiliation_string":"Faculty of Science, Superior University Lahore, Lahore, 54000, Punjab, Pakistan","institution_ids":["https://openalex.org/I4210100043"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046717622","display_name":"Shahzad Ahmad","orcid":"https://orcid.org/0000-0002-3117-3831"},"institutions":[{"id":"https://openalex.org/I4210100043","display_name":"Superior University","ror":"https://ror.org/00yh88643","country_code":"PK","type":"education","lineage":["https://openalex.org/I4210100043"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Shahzad Ahmad","raw_affiliation_strings":["Faculty of Science, Superior University Lahore, Lahore, 54000, Punjab, Pakistan"],"affiliations":[{"raw_affiliation_string":"Faculty of Science, Superior University Lahore, Lahore, 54000, Punjab, Pakistan","institution_ids":["https://openalex.org/I4210100043"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012460942","display_name":"Sultan S. Alodhaibi","orcid":"https://orcid.org/0000-0003-4439-1878"},"institutions":[{"id":"https://openalex.org/I156216236","display_name":"Qassim University","ror":"https://ror.org/01wsfe280","country_code":"SA","type":"education","lineage":["https://openalex.org/I156216236"]},{"id":"https://openalex.org/I4210092650","display_name":"Buraydah Colleges","ror":"https://ror.org/00j0krs40","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210092650"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Sultan S. Alodhaibi","raw_affiliation_strings":["Department of Mathematics, Qassim University, Buraydah, 51452, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Qassim University, Buraydah, 51452, Saudi Arabia","institution_ids":["https://openalex.org/I156216236","https://openalex.org/I4210092650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091160106","display_name":"Hamiden Abd El-Wahed Khalifa","orcid":null},"institutions":[{"id":"https://openalex.org/I145487455","display_name":"Cairo University","ror":"https://ror.org/03q21mh05","country_code":"EG","type":"education","lineage":["https://openalex.org/I145487455"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Hamiden Abd El-Wahed Khalifa","raw_affiliation_strings":["Department of Operations and Management Research, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, 12613, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Operations and Management Research, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, 12613, Egypt","institution_ids":["https://openalex.org/I145487455"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5068299591"],"corresponding_institution_ids":["https://openalex.org/I106778892"],"apc_list":{"value":1320,"currency":"GBP","value_usd":1619},"apc_paid":{"value":1320,"currency":"GBP","value_usd":1619},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.34457242,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"12","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9955000281333923,"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":0.9955000281333923,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9919999837875366,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9876000285148621,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/soft-set","display_name":"Soft set","score":0.657800018787384},{"id":"https://openalex.org/keywords/vagueness","display_name":"Vagueness","score":0.6241000294685364},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49540001153945923},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.48910000920295715},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4740999937057495},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.4738999903202057},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.44760000705718994},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.4205999970436096}],"concepts":[{"id":"https://openalex.org/C2777037408","wikidata":"https://www.wikidata.org/wiki/Q4310193","display_name":"Soft set","level":3,"score":0.657800018787384},{"id":"https://openalex.org/C2776825360","wikidata":"https://www.wikidata.org/wiki/Q1411921","display_name":"Vagueness","level":3,"score":0.6241000294685364},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5537999868392944},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5189999938011169},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49540001153945923},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.48910000920295715},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4740999937057495},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.4738999903202057},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.44760000705718994},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4205999970436096},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.41830000281333923},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.40149998664855957},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.3779999911785126},{"id":"https://openalex.org/C140073362","wikidata":"https://www.wikidata.org/wiki/Q738759","display_name":"Soft computing","level":3,"score":0.3776000142097473},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.37040001153945923},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3409999907016754},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.3190000057220459},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.3095000088214874},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.2994999885559082},{"id":"https://openalex.org/C100461760","wikidata":"https://www.wikidata.org/wiki/Q11518","display_name":"Pythagorean theorem","level":2,"score":0.2985000014305115},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.2964000105857849},{"id":"https://openalex.org/C58489278","wikidata":"https://www.wikidata.org/wiki/Q1172284","display_name":"Data set","level":2,"score":0.2921000123023987},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.2847999930381775},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.2736999988555908},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26840001344680786}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s40747-025-02104-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-025-02104-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-025-02104-3.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex &amp; Intelligent Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:457f9fc3b49245cdafc1c4484a053e1d","is_oa":true,"landing_page_url":"https://doaj.org/article/457f9fc3b49245cdafc1c4484a053e1d","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complex & Intelligent Systems, Vol 11, Iss 12, Pp 1-17 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s40747-025-02104-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-025-02104-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-025-02104-3.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex &amp; Intelligent Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2053653470","display_name":null,"funder_award_id":"PNURSP","funder_id":"https://openalex.org/F4320322484","funder_display_name":"Princess Nourah Bint Abdulrahman University"},{"id":"https://openalex.org/G589049005","display_name":null,"funder_award_id":"PNURSP2025R404","funder_id":"https://openalex.org/F4320322484","funder_display_name":"Princess Nourah Bint Abdulrahman University"},{"id":"https://openalex.org/G6016183765","display_name":null,"funder_award_id":"PNURSP2025R40","funder_id":"https://openalex.org/F4320322484","funder_display_name":"Princess Nourah Bint Abdulrahman University"},{"id":"https://openalex.org/G6063645514","display_name":null,"funder_award_id":"PNURSP2025R","funder_id":"https://openalex.org/F4320322484","funder_display_name":"Princess Nourah Bint Abdulrahman University"},{"id":"https://openalex.org/G7895878613","display_name":null,"funder_award_id":"PNURSP2025R4","funder_id":"https://openalex.org/F4320322484","funder_display_name":"Princess Nourah Bint Abdulrahman University"}],"funders":[{"id":"https://openalex.org/F4320322484","display_name":"Princess Nourah Bint Abdulrahman University","ror":"https://ror.org/05b0cyh02"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4415501727.pdf"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W333500581","https://openalex.org/W1505735190","https://openalex.org/W1978352585","https://openalex.org/W2032038401","https://openalex.org/W2069754181","https://openalex.org/W2097403045","https://openalex.org/W2195434889","https://openalex.org/W2236964736","https://openalex.org/W2288338628","https://openalex.org/W2793005598","https://openalex.org/W2798217960","https://openalex.org/W2887823897","https://openalex.org/W2963984541","https://openalex.org/W3147009765","https://openalex.org/W4205910419","https://openalex.org/W4289254296","https://openalex.org/W4289711047","https://openalex.org/W4386707840","https://openalex.org/W4387608853","https://openalex.org/W4390534093","https://openalex.org/W4391092626","https://openalex.org/W4393283872","https://openalex.org/W4400652950","https://openalex.org/W4405422513","https://openalex.org/W4406739626"],"related_works":[],"abstract_inverted_index":{"Accurate":[0],"course":[1,17,185],"selection":[2,181],"is":[3,128,172,256],"an":[4,153],"important":[5],"step":[6],"in":[7],"a":[8,22,36,41,176,183,187,227,253,271],"student\u2019s":[9,23,42],"academic":[10],"and":[11,25,47,53,59,93,106,145,197,210,218,247,262,277],"professional":[12],"journey.":[13],"Choosing":[14],"the":[15,75,158,180,234,239,245,250,267,274],"right":[16],"not":[18],"only":[19],"aligns":[20],"with":[21,120,258,270],"interests":[24],"strengths":[26],"but":[27,115],"also":[28],"significantly":[29],"influences":[30],"their":[31],"future":[32,48,282],"career":[33],"prospects.":[34],"Making":[35],"well-informed":[37,168],"decision":[38],"based":[39,156],"on":[40,157],"background,":[43],"interests,":[44],"financial":[45],"situation,":[46],"requirements":[49],"may":[50],"involve":[51],"uncertainty":[52,113],"vagueness":[54],"due":[55],"to":[56,112,166,175,243],"incomplete":[57],"information":[58,127],"data":[60],"variability.":[61],"To":[62],"address":[63],"such":[64,98],"challenges,":[65],"this":[66,138,150],"paper":[67,151,268],"advances":[68],"neutrosophic":[69,80,107,133],"soft":[70,81,134],"set":[71,82,108,135],"theory":[72],"by":[73,140],"introducing":[74],"energy":[76,92,109,159,204],"measures":[77],"of":[78,161,182,206,230,249,273],"complex":[79,132],"using":[83],"singular":[84],"value":[85],"decomposition,":[86],"drawing":[87],"upon":[88],"concepts":[89],"from":[90,189],"graph":[91,100,104],"matrix":[94],"representation.":[95],"Earlier":[96],"models":[97,261],"as":[99],"energy,":[101,105],"Pythagorean":[102],"fuzzy":[103],"have":[110],"contributed":[111],"modeling":[114],"fall":[116],"short":[117],"when":[118],"dealing":[119],"periodic":[121],"or":[122],"oscillatory":[123],"data,":[124],"where":[125],"phase":[126],"essential.":[129],"The":[130,200],"proposed":[131,201,251],"model":[136],"addresses":[137],"limitation":[139],"incorporating":[141],"complex-valued":[142],"memberships,":[143],"non-membership,":[144],"neutral":[146],"degree.":[147],"In":[148],"addition,":[149],"proposes":[152],"algorithmic":[154],"approach":[155,171],"measure":[160],"Complex":[162],"Neutrosophic":[163],"Soft":[164],"Set":[165],"support":[167],"decision-making.":[169],"This":[170],"then":[173],"applied":[174],"case":[177],"study":[178],"involving":[179],"suitable":[184,236],"for":[186,213,281],"student":[188],"among":[190,238],"three":[191],"options:":[192],"Software":[193,214],"Engineering,":[194,215],"Data":[195,216,224],"Science,":[196,217],"Digital":[198,219],"Marketing.":[199],"algorithm":[202],"yielded":[203],"values":[205],"$$-$$":[207,211],"1.196,":[208],"1.784,":[209],"1.392":[212],"Marketing,":[220],"respectively.":[221],"After":[222],"normalization,":[223],"Science":[225],"achieved":[226],"preference":[228],"score":[229],"100%,":[231],"making":[232],"it":[233],"most":[235],"choice":[237],"considered":[240],"alternatives.":[241],"Additionally,":[242],"ensure":[244],"effectiveness":[246],"validity":[248],"method,":[252],"comprehensive":[254],"comparison":[255],"conducted":[257],"other":[259],"energy-based":[260],"multi-attribute":[263],"decision-making":[264],"techniques.":[265],"Finally,":[266],"concludes":[269],"summary":[272],"research":[275],"findings":[276],"outlines":[278],"potential":[279],"directions":[280],"work.":[283]},"counts_by_year":[],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-24T00:00:00"}
