{"id":"https://openalex.org/W2028328785","doi":"https://doi.org/10.1155/2007/12714","title":"Decision Analysis via Granulation Based on General Binary Relation","display_name":"Decision Analysis via Granulation Based on General Binary Relation","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2028328785","doi":"https://doi.org/10.1155/2007/12714","mag":"2028328785"},"language":"en","primary_location":{"id":"doi:10.1155/2007/12714","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2007/12714","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2007/012714.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2007/012714.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016455803","display_name":"M. E. Abd El-Monsef","orcid":"https://orcid.org/0000-0002-7503-8463"},"institutions":[{"id":"https://openalex.org/I21376657","display_name":"Tanta University","ror":"https://ror.org/016jp5b92","country_code":"EG","type":"education","lineage":["https://openalex.org/I21376657"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"M. M. E. Abd El-Monsef","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Tanta University, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Tanta University, Egypt","institution_ids":["https://openalex.org/I21376657"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080773042","display_name":"N. M. Kilany","orcid":"https://orcid.org/0000-0001-6397-6156"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"N. M. Kilany","raw_affiliation_strings":["Commercial Technical Institute for Computer Sciences, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Commercial Technical Institute for Computer Sciences, Egypt","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1240,"currency":"USD","value_usd":1240},"apc_paid":{"value":1240,"currency":"USD","value_usd":1240},"fwci":1.8108,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.84745104,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2007","issue":null,"first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":1.0,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":1.0,"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/T10538","display_name":"Data Mining Algorithms and Applications","score":0.9714999794960022,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9495000243186951,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.739122211933136},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.6939254403114319},{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.6690244674682617},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.5830807089805603},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5658437609672546},{"id":"https://openalex.org/keywords/dominance-based-rough-set-approach","display_name":"Dominance-based rough set approach","score":0.555683434009552},{"id":"https://openalex.org/keywords/decision-rule","display_name":"Decision rule","score":0.5372130274772644},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5357045531272888},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5312153100967407},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5212798118591309},{"id":"https://openalex.org/keywords/decision-theory","display_name":"Decision theory","score":0.4663957953453064},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.46260225772857666},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4416099786758423},{"id":"https://openalex.org/keywords/binary-classification","display_name":"Binary classification","score":0.43810778856277466},{"id":"https://openalex.org/keywords/weighted-sum-model","display_name":"Weighted sum model","score":0.4341930150985718},{"id":"https://openalex.org/keywords/decision-problem","display_name":"Decision problem","score":0.42609351873397827},{"id":"https://openalex.org/keywords/decision-analysis","display_name":"Decision analysis","score":0.41727495193481445},{"id":"https://openalex.org/keywords/influence-diagram","display_name":"Influence diagram","score":0.3221316337585449},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3194146752357483},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.28597545623779297},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2797243297100067},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23665162920951843},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.21024343371391296},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.18173524737358093},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10454478859901428}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.739122211933136},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.6939254403114319},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.6690244674682617},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.5830807089805603},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5658437609672546},{"id":"https://openalex.org/C39105242","wikidata":"https://www.wikidata.org/wiki/Q5290286","display_name":"Dominance-based rough set approach","level":3,"score":0.555683434009552},{"id":"https://openalex.org/C84839998","wikidata":"https://www.wikidata.org/wiki/Q5249245","display_name":"Decision rule","level":2,"score":0.5372130274772644},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5357045531272888},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5312153100967407},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5212798118591309},{"id":"https://openalex.org/C28901747","wikidata":"https://www.wikidata.org/wiki/Q177571","display_name":"Decision theory","level":2,"score":0.4663957953453064},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.46260225772857666},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4416099786758423},{"id":"https://openalex.org/C66905080","wikidata":"https://www.wikidata.org/wiki/Q17005494","display_name":"Binary classification","level":3,"score":0.43810778856277466},{"id":"https://openalex.org/C188222737","wikidata":"https://www.wikidata.org/wiki/Q7979909","display_name":"Weighted sum model","level":4,"score":0.4341930150985718},{"id":"https://openalex.org/C115988155","wikidata":"https://www.wikidata.org/wiki/Q3262192","display_name":"Decision problem","level":2,"score":0.42609351873397827},{"id":"https://openalex.org/C186116695","wikidata":"https://www.wikidata.org/wiki/Q5249226","display_name":"Decision analysis","level":2,"score":0.41727495193481445},{"id":"https://openalex.org/C20837028","wikidata":"https://www.wikidata.org/wiki/Q623966","display_name":"Influence diagram","level":3,"score":0.3221316337585449},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3194146752357483},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.28597545623779297},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2797243297100067},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23665162920951843},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.21024343371391296},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.18173524737358093},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10454478859901428},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2007/12714","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2007/12714","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2007/012714.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:012714","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2007/012714.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:f541038fd0764c62bcba1f28badb06bd","is_oa":true,"landing_page_url":"https://doaj.org/article/f541038fd0764c62bcba1f28badb06bd","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":"International Journal of Mathematics and Mathematical Sciences, Vol 2007 (2007)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2007/12714","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2007/12714","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2007/012714.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8100000023841858,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2028328785.pdf","grobid_xml":"https://content.openalex.org/works/W2028328785.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1606022329","https://openalex.org/W1931213803","https://openalex.org/W1969463949","https://openalex.org/W2002795378","https://openalex.org/W2010024843","https://openalex.org/W2092266125","https://openalex.org/W3017143921","https://openalex.org/W4249939961","https://openalex.org/W4255833381"],"related_works":["https://openalex.org/W2064989302","https://openalex.org/W2167108569","https://openalex.org/W2141453185","https://openalex.org/W1970673089","https://openalex.org/W4230741605","https://openalex.org/W2111468209","https://openalex.org/W1579850052","https://openalex.org/W2078882769","https://openalex.org/W2118250285","https://openalex.org/W1986918562"],"abstract_inverted_index":{"Decision":[0],"theory":[1],"considers":[2],"how":[3],"best":[4,26],"to":[5,23,37,50,102],"make":[6],"decisions":[7],"in":[8],"the":[9,25,32,44,67,104,123],"light":[10],"of":[11,34,79,97,110,115,125],"uncertainty":[12],"about":[13],"data.":[14],"There":[15],"are":[16],"several":[17],"methodologies":[18],"that":[19,65,99],"may":[20],"be":[21,41],"used":[22],"determine":[24],"decision.":[27],"In":[28,70],"rough":[29,81],"set":[30,82],"theory,":[31],"classification":[33,114],"objects":[35,105],"according":[36],"approximation":[38,98],"operators":[39],"can":[40],"fitted":[42],"into":[43,106,118],"Bayesian":[45],"decision-theoretic":[46,80],"model,":[47],"with":[48],"respect":[49],"three":[51,111],"regions":[52,108],"(positive,":[53],"negative,":[54],"and":[55,77],"boundary":[56],"region).":[57],"Granulation":[58],"using":[59,85],"equivalence":[60],"classes":[61],"is":[62],"a":[63,75],"restriction":[64],"limits":[66],"decision":[68,116,128],"makers.":[69,129],"this":[71],"paper,":[72],"we":[73],"introduce":[74],"generalization":[76],"modification":[78],"model":[83],"by":[84],"granular":[86],"computing":[87],"on":[88],"general":[89],"binary":[90],"relations.":[91],"We":[92],"obtain":[93],"two":[94],"new":[95],"types":[96],"enable":[100],"us":[101],"classify":[103],"five":[107,119],"instead":[109],"regions.":[112],"The":[113],"region":[117],"areas":[120],"will":[121],"enlarge":[122],"range":[124],"choice":[126],"for":[127]},"counts_by_year":[{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}