{"id":"https://openalex.org/W2901946023","doi":"https://doi.org/10.3390/sym10110662","title":"Novel Three-Way Decisions Models with Multi-Granulation Rough Intuitionistic Fuzzy Sets","display_name":"Novel Three-Way Decisions Models with Multi-Granulation Rough Intuitionistic Fuzzy Sets","publication_year":2018,"publication_date":"2018-11-21","ids":{"openalex":"https://openalex.org/W2901946023","doi":"https://doi.org/10.3390/sym10110662","mag":"2901946023"},"language":"en","primary_location":{"id":"doi:10.3390/sym10110662","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10110662","pdf_url":"https://www.mdpi.com/2073-8994/10/11/662/pdf?version=1542801107","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/10/11/662/pdf?version=1542801107","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020049907","display_name":"Zhanao Xue","orcid":"https://orcid.org/0000-0002-0155-1301"},"institutions":[{"id":"https://openalex.org/I75955062","display_name":"Henan Normal University","ror":"https://ror.org/00s13br28","country_code":"CN","type":"education","lineage":["https://openalex.org/I75955062"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhan-Ao Xue","raw_affiliation_strings":["College of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, China","Engineering Lab of Henan Province for Intelligence Business &amp; Internet of Things, Henan Normal University, Xinxiang 453007, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, China","institution_ids":["https://openalex.org/I75955062"]},{"raw_affiliation_string":"Engineering Lab of Henan Province for Intelligence Business &amp; Internet of Things, Henan Normal University, Xinxiang 453007, China","institution_ids":["https://openalex.org/I75955062"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071157659","display_name":"Dan-jie Han","orcid":null},"institutions":[{"id":"https://openalex.org/I75955062","display_name":"Henan Normal University","ror":"https://ror.org/00s13br28","country_code":"CN","type":"education","lineage":["https://openalex.org/I75955062"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dan-Jie Han","raw_affiliation_strings":["College of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, China","Engineering Lab of Henan Province for Intelligence Business &amp; Internet of Things, Henan Normal University, Xinxiang 453007, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, China","institution_ids":["https://openalex.org/I75955062"]},{"raw_affiliation_string":"Engineering Lab of Henan Province for Intelligence Business &amp; Internet of Things, Henan Normal University, Xinxiang 453007, China","institution_ids":["https://openalex.org/I75955062"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013551608","display_name":"Min-jie Lv","orcid":null},"institutions":[{"id":"https://openalex.org/I75955062","display_name":"Henan Normal University","ror":"https://ror.org/00s13br28","country_code":"CN","type":"education","lineage":["https://openalex.org/I75955062"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min-Jie Lv","raw_affiliation_strings":["College of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, China","Engineering Lab of Henan Province for Intelligence Business &amp; Internet of Things, Henan Normal University, Xinxiang 453007, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, China","institution_ids":["https://openalex.org/I75955062"]},{"raw_affiliation_string":"Engineering Lab of Henan Province for Intelligence Business &amp; Internet of Things, Henan Normal University, Xinxiang 453007, China","institution_ids":["https://openalex.org/I75955062"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100402983","display_name":"Min Zhang","orcid":"https://orcid.org/0000-0003-1938-2902"},"institutions":[{"id":"https://openalex.org/I75955062","display_name":"Henan Normal University","ror":"https://ror.org/00s13br28","country_code":"CN","type":"education","lineage":["https://openalex.org/I75955062"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Zhang","raw_affiliation_strings":["College of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, China","Engineering Lab of Henan Province for Intelligence Business &amp; Internet of Things, Henan Normal University, Xinxiang 453007, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, China","institution_ids":["https://openalex.org/I75955062"]},{"raw_affiliation_string":"Engineering Lab of Henan Province for Intelligence Business &amp; Internet of Things, Henan Normal University, Xinxiang 453007, China","institution_ids":["https://openalex.org/I75955062"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5020049907","https://openalex.org/A5071157659"],"corresponding_institution_ids":["https://openalex.org/I75955062"],"apc_list":{"value":2400,"currency":"CHF","value_usd":2896},"apc_paid":{"value":2400,"currency":"CHF","value_usd":2896},"fwci":1.3431,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.83454168,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"10","issue":"11","first_page":"662","last_page":"662"},"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9714999794960022,"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/T10538","display_name":"Data Mining Algorithms and Applications","score":0.921999990940094,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/granularity","display_name":"Granularity","score":0.9639244079589844},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.7071057558059692},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6448202729225159},{"id":"https://openalex.org/keywords/granular-computing","display_name":"Granular computing","score":0.5860868096351624},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5747796297073364},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.5541910529136658},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.4950462877750397},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.460158109664917},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4594486653804779},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4252853989601135},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40762123465538025},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35741835832595825},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25670331716537476}],"concepts":[{"id":"https://openalex.org/C177774035","wikidata":"https://www.wikidata.org/wiki/Q1246948","display_name":"Granularity","level":2,"score":0.9639244079589844},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.7071057558059692},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6448202729225159},{"id":"https://openalex.org/C17209119","wikidata":"https://www.wikidata.org/wiki/Q5596712","display_name":"Granular computing","level":3,"score":0.5860868096351624},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5747796297073364},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5541910529136658},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.4950462877750397},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.460158109664917},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4594486653804779},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4252853989601135},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40762123465538025},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35741835832595825},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25670331716537476},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym10110662","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10110662","pdf_url":"https://www.mdpi.com/2073-8994/10/11/662/pdf?version=1542801107","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9a30805e624542679d0b96b5ea3165f9","is_oa":true,"landing_page_url":"https://doaj.org/article/9a30805e624542679d0b96b5ea3165f9","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":"Symmetry, Vol 10, Iss 11, p 662 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym10110662","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10110662","pdf_url":"https://www.mdpi.com/2073-8994/10/11/662/pdf?version=1542801107","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.800000011920929,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G1441924853","display_name":null,"funder_award_id":"61402153","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5599159390","display_name":null,"funder_award_id":"CXGG17002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7001643226","display_name":null,"funder_award_id":"61772176, 61402153","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7488648630","display_name":null,"funder_award_id":"182102210362","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7504067323","display_name":null,"funder_award_id":"61772176","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2901946023.pdf","grobid_xml":"https://content.openalex.org/works/W2901946023.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W1041128124","https://openalex.org/W1980564456","https://openalex.org/W1986839581","https://openalex.org/W1990116832","https://openalex.org/W1997362234","https://openalex.org/W2001692054","https://openalex.org/W2007262119","https://openalex.org/W2031241748","https://openalex.org/W2039146107","https://openalex.org/W2049204733","https://openalex.org/W2055108933","https://openalex.org/W2070813883","https://openalex.org/W2074145995","https://openalex.org/W2089923511","https://openalex.org/W2143040521","https://openalex.org/W2170755382","https://openalex.org/W2185018357","https://openalex.org/W2305735113","https://openalex.org/W2345465422","https://openalex.org/W2356228691","https://openalex.org/W2377752145","https://openalex.org/W2510387500","https://openalex.org/W2519715111","https://openalex.org/W2588572297","https://openalex.org/W2591767974","https://openalex.org/W2607421718","https://openalex.org/W2612102978","https://openalex.org/W2617679434","https://openalex.org/W2630577401","https://openalex.org/W2698491860","https://openalex.org/W2707976390","https://openalex.org/W2739306068","https://openalex.org/W2772794611","https://openalex.org/W2792237592","https://openalex.org/W2792863071","https://openalex.org/W2799371241","https://openalex.org/W2801912503","https://openalex.org/W2809662846","https://openalex.org/W2813852899","https://openalex.org/W2893758894","https://openalex.org/W2894645570","https://openalex.org/W2896326747","https://openalex.org/W4211007335","https://openalex.org/W4255833381","https://openalex.org/W6725226906","https://openalex.org/W7038659373"],"related_works":["https://openalex.org/W1795409297","https://openalex.org/W2385082087","https://openalex.org/W2508737459","https://openalex.org/W2734666672","https://openalex.org/W2013421631","https://openalex.org/W2390772058","https://openalex.org/W2282249876","https://openalex.org/W2978631811","https://openalex.org/W2367964367","https://openalex.org/W2374419214"],"abstract_inverted_index":{"The":[0],"existing":[1],"construction":[2],"methods":[3],"of":[4,13,41,79,110,116,131,150,173],"granularity":[5,15,30,48,65,109,149,160],"importance":[6,49],"degree":[7,50],"only":[8,141],"consider":[9],"the":[10,21,37,59,76,104,144,151,164],"direct":[11],"influence":[12],"single":[14],"on":[16,69,99],"decision-making;":[17],"however,":[18],"they":[19],"ignore":[20],"joint":[22,138],"impact":[23],"from":[24],"other":[25],"granularities":[26,55],"when":[27],"carrying":[28],"out":[29],"selection.":[31],"In":[32],"this":[33,70,73],"regard,":[34],"we":[35,43],"have":[36],"following":[38],"improvements.":[39],"First":[40],"all,":[42],"define":[44],"a":[45,64,129],"more":[46],"reasonable":[47],"calculating":[51],"method":[52],"among":[53],"multiple":[54],"to":[56,101],"deal":[57],"with":[58,86,120],"above":[60],"problem":[61],"and":[62,81,91,169],"give":[63],"reduction":[66,77,111,152],"algorithm":[67],"based":[68],"method.":[71],"Besides,":[72],"paper":[74],"combines":[75],"sets":[78,85,125],"optimistic":[80],"pessimistic":[82],"multi-granulation":[83,121],"rough":[84,122],"intuitionistic":[87,123],"fuzzy":[88,124],"sets,":[89,112,153],"respectively,":[90],"their":[92],"related":[93],"properties":[94],"are":[95,126],"shown":[96],"synchronously.":[97],"Based":[98],"this,":[100],"further":[102],"reduce":[103],"redundant":[105,145],"objects":[106,146],"in":[107],"each":[108,148],"four":[113],"novel":[114],"kinds":[115],"three-way":[117],"decisions":[118],"models":[119,139],"developed.":[127],"Moreover,":[128],"series":[130],"concrete":[132],"examples":[133],"can":[134,142,156],"demonstrate":[135],"that":[136],"these":[137],"not":[140],"remove":[143],"inside":[147],"but":[154],"also":[155],"generate":[157],"much":[158],"suitable":[159],"selection":[161],"results":[162],"using":[163],"designed":[165],"comprehensive":[166,170],"score":[167],"function":[168,172],"accuracy":[171],"granularities.":[174]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
