{"id":"https://openalex.org/W7134122180","doi":"https://doi.org/10.1007/s40314-026-03674-9","title":"Relational assessment in hypersoft sets: a decision-maker driven approach","display_name":"Relational assessment in hypersoft sets: a decision-maker driven approach","publication_year":2026,"publication_date":"2026-03-07","ids":{"openalex":"https://openalex.org/W7134122180","doi":"https://doi.org/10.1007/s40314-026-03674-9"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-026-03674-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-026-03674-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-026-03674-9.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"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","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s40314-026-03674-9.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055767872","display_name":"Orhan Dalk\u0131l\u0131\u00e7","orcid":"https://orcid.org/0000-0003-3875-1398"},"institutions":[{"id":"https://openalex.org/I147699246","display_name":"Bing\u00f6l University","ror":"https://ror.org/03hx84x94","country_code":"TR","type":"education","lineage":["https://openalex.org/I147699246"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Orhan Dalk\u0131l\u0131\u00e7","raw_affiliation_strings":["Department of Mathematics, Bing\u00f6l University, Bing\u00f6l, Turkey"],"raw_orcid":"https://orcid.org/0000-0003-3875-1398","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bing\u00f6l University, Bing\u00f6l, Turkey","institution_ids":["https://openalex.org/I147699246"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5055767872"],"corresponding_institution_ids":["https://openalex.org/I147699246"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.45096103,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"7","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":0.8134999871253967,"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":0.8134999871253967,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.019300000742077827,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.018799999728798866,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/granularity","display_name":"Granularity","score":0.6255999803543091},{"id":"https://openalex.org/keywords/relational-database","display_name":"Relational database","score":0.5537999868392944},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5252000093460083},{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.5063999891281128},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4984999895095825},{"id":"https://openalex.org/keywords/relational-model","display_name":"Relational model","score":0.4690000116825104},{"id":"https://openalex.org/keywords/relational-calculus","display_name":"Relational calculus","score":0.43849998712539673},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4325999915599823},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4226999878883362}],"concepts":[{"id":"https://openalex.org/C177774035","wikidata":"https://www.wikidata.org/wiki/Q1246948","display_name":"Granularity","level":2,"score":0.6255999803543091},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6082000136375427},{"id":"https://openalex.org/C5655090","wikidata":"https://www.wikidata.org/wiki/Q192588","display_name":"Relational database","level":2,"score":0.5537999868392944},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5252000093460083},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.5063999891281128},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4984999895095825},{"id":"https://openalex.org/C40207289","wikidata":"https://www.wikidata.org/wiki/Q755662","display_name":"Relational model","level":3,"score":0.4690000116825104},{"id":"https://openalex.org/C99436015","wikidata":"https://www.wikidata.org/wiki/Q1722436","display_name":"Relational calculus","level":4,"score":0.43849998712539673},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4372999966144562},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4325999915599823},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4226999878883362},{"id":"https://openalex.org/C52268767","wikidata":"https://www.wikidata.org/wiki/Q1248245","display_name":"Relational theory","level":2,"score":0.4180000126361847},{"id":"https://openalex.org/C137912672","wikidata":"https://www.wikidata.org/wiki/Q1967096","display_name":"Possibility theory","level":4,"score":0.3926999866962433},{"id":"https://openalex.org/C177877439","wikidata":"https://www.wikidata.org/wiki/Q7604413","display_name":"Statistical relational learning","level":3,"score":0.3813000023365021},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37700000405311584},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.3671000003814697},{"id":"https://openalex.org/C2780233690","wikidata":"https://www.wikidata.org/wiki/Q535347","display_name":"Transparency (behavior)","level":2,"score":0.35339999198913574},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.34630000591278076},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.2930999994277954},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2743000090122223},{"id":"https://openalex.org/C95916125","wikidata":"https://www.wikidata.org/wiki/Q840540","display_name":"Relational algebra","level":3,"score":0.26179999113082886},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26080000400543213},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.260699987411499},{"id":"https://openalex.org/C2779193601","wikidata":"https://www.wikidata.org/wiki/Q20026918","display_name":"Mathematical theory","level":2,"score":0.2581999897956848},{"id":"https://openalex.org/C3309909","wikidata":"https://www.wikidata.org/wiki/Q864155","display_name":"Binary decision diagram","level":2,"score":0.25589999556541443},{"id":"https://openalex.org/C17209119","wikidata":"https://www.wikidata.org/wiki/Q5596712","display_name":"Granular computing","level":3,"score":0.2547999918460846}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-026-03674-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-026-03674-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-026-03674-9.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"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","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s40314-026-03674-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-026-03674-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-026-03674-9.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"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","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.7788671851158142,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320326299","display_name":"Bing\u00f6l \u00dcniversitesi","ror":"https://ror.org/03hx84x94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7134122180.pdf","grobid_xml":"https://content.openalex.org/works/W7134122180.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1978352585","https://openalex.org/W1980564456","https://openalex.org/W2782682649","https://openalex.org/W2947829511","https://openalex.org/W2955499649","https://openalex.org/W2970224156","https://openalex.org/W2992529063","https://openalex.org/W2999049732","https://openalex.org/W3011593398","https://openalex.org/W3041354098","https://openalex.org/W3048851199","https://openalex.org/W3116714697","https://openalex.org/W3119963525","https://openalex.org/W3125942246","https://openalex.org/W3130428305","https://openalex.org/W3156717411","https://openalex.org/W3182465513","https://openalex.org/W3208006855","https://openalex.org/W4206426547","https://openalex.org/W4211007335","https://openalex.org/W4292295629","https://openalex.org/W4392578675","https://openalex.org/W4406672826","https://openalex.org/W4415076276","https://openalex.org/W4415702416","https://openalex.org/W4415714521","https://openalex.org/W6912491134"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"Hypersoft":[1],"set":[2,180],"theory":[3,181],"has":[4],"become":[5],"an":[6,121],"essential":[7],"mathematical":[8],"framework":[9,130],"for":[10],"modeling":[11],"multi-parameter":[12],"uncertainty;":[13],"however,":[14],"most":[15],"of":[16,64,77,178],"its":[17,184],"current":[18],"extensions,":[19],"including":[20],"fuzzy":[21],"and":[22,47,66,101,135,141,151,170,182],"intuitionistic":[23],"hypersoft":[24,69,129,179],"sets,":[25],"still":[26],"depend":[27],"on":[28,104,120],"the":[29,38,61,74,126,145,175],"decision-maker\u2019s":[30],"subjective":[31,86],"evaluation":[32,119],"when":[33],"assigning":[34],"(non-)membership":[35,70,156],"degrees":[36,157],"within":[37],"interval":[39],"(0,":[40],"1).":[41],"This":[42],"dependence":[43],"restricts":[44],"objectivity,":[45],"reproducibility,":[46],"analytical":[48],"robustness":[49],"in":[50,187],"uncertainty-based":[51],"decision":[52],"processes.":[53],"To":[54],"address":[55],"this":[56,58,164],"limitation,":[57],"paper":[59],"introduces":[60],"novel":[62],"concepts":[63],"relational":[65,68,81,108,128,146],"inverse":[67],"degrees,":[71],"which":[72],"enable":[73],"objective":[75],"computation":[76],"these":[78,105],"values":[79],"through":[80],"mappings":[82],"that":[83,125,173],"fully":[84],"eliminate":[85],"numerical":[87],"input.":[88],"The":[89],"proposed":[90,127],"theoretical":[91,176],"model":[92],"is":[93],"rigorously":[94],"analyzed":[95],"to":[96,113,139],"ensure":[97],"internal":[98],"consistency,":[99],"boundedness,":[100],"interpretability.":[102],"Building":[103],"concepts,":[106],"two":[107],"decision-making":[109,189],"algorithms":[110],"are":[111],"developed":[112],"demonstrate":[114],"their":[115],"practical":[116,185],"applicability.":[117],"Experimental":[118],"uncertainty":[122],"problem":[123],"reveals":[124],"yields":[131],"more":[132],"reliable,":[133],"consistent,":[134],"closer-to-ideal":[136],"decisions":[137],"compared":[138],"fuzzy-hypersoft":[140],"intuitionistic-hypersoft":[142],"models.":[143],"Moreover,":[144],"structure":[147],"enhances":[148],"information":[149],"granularity":[150],"computational":[152],"transparency":[153],"by":[154],"deriving":[155],"directly":[158],"from":[159],"binary":[160],"expert":[161],"judgments.":[162],"Overall,":[163],"study":[165],"contributes":[166],"a":[167],"mathematically":[168],"grounded":[169],"decision-maker-independent":[171],"approach":[172],"strengthens":[174],"foundation":[177],"expands":[183],"capability":[186],"complex":[188],"under":[190],"uncertainty.":[191]},"counts_by_year":[],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2026-03-08T00:00:00"}
