{"id":"https://openalex.org/W4415990195","doi":"https://doi.org/10.3390/sym17111903","title":"Hesitant Fuzzy Multi-Granulation Rough Set Model Based on Similarity Assessment","display_name":"Hesitant Fuzzy Multi-Granulation Rough Set Model Based on Similarity Assessment","publication_year":2025,"publication_date":"2025-11-07","ids":{"openalex":"https://openalex.org/W4415990195","doi":"https://doi.org/10.3390/sym17111903"},"language":"en","primary_location":{"id":"doi:10.3390/sym17111903","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17111903","pdf_url":null,"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"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/sym17111903","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031246496","display_name":"Junxiao Ren","orcid":"https://orcid.org/0000-0002-8452-9934"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Junxiao Ren","raw_affiliation_strings":["School of Humanities, Xidian University, Xi\u2019an 710071, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Humanities, Xidian University, Xi\u2019an 710071, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044914185","display_name":"Bo Cao","orcid":"https://orcid.org/0000-0002-2552-1051"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Cao","raw_affiliation_strings":["School of Humanities, Xidian University, Xi\u2019an 710071, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Humanities, Xidian University, Xi\u2019an 710071, China","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031246496"],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.35613515,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"11","first_page":"1903","last_page":"1903"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.7414000034332275,"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":0.7414000034332275,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.1459999978542328,"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/T12805","display_name":"Cognitive Science and Mapping","score":0.012199999764561653,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/fuzzy-logic","display_name":"Fuzzy logic","score":0.6322000026702881},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.5673999786376953},{"id":"https://openalex.org/keywords/ideal-solution","display_name":"Ideal solution","score":0.5299999713897705},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.5282999873161316},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5275999903678894},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.40540000796318054},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.40389999747276306}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6322000026702881},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6098999977111816},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5673999786376953},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.5673999786376953},{"id":"https://openalex.org/C89591040","wikidata":"https://www.wikidata.org/wiki/Q1779030","display_name":"Ideal solution","level":2,"score":0.5299999713897705},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.5282999873161316},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5275999903678894},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4438000023365021},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.40540000796318054},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.40389999747276306},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.3912000060081482},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.38499999046325684},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3555000126361847},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.33090001344680786},{"id":"https://openalex.org/C113336015","wikidata":"https://www.wikidata.org/wiki/Q574010","display_name":"Complete information","level":2,"score":0.30399999022483826},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.29319998621940613},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.25699999928474426},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.25040000677108765}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3390/sym17111903","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17111903","pdf_url":null,"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"}],"best_oa_location":{"id":"doi:10.3390/sym17111903","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17111903","pdf_url":null,"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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W2792446147","https://openalex.org/W2806081539","https://openalex.org/W2886290373","https://openalex.org/W2900960922","https://openalex.org/W2913381099","https://openalex.org/W2917046450","https://openalex.org/W2966380844","https://openalex.org/W3004365723","https://openalex.org/W3004827468","https://openalex.org/W3011110239","https://openalex.org/W3011891804","https://openalex.org/W3016385481","https://openalex.org/W3025327496","https://openalex.org/W3036069962","https://openalex.org/W3040258876","https://openalex.org/W3041154274","https://openalex.org/W3103993493","https://openalex.org/W3135165366","https://openalex.org/W3170428924","https://openalex.org/W3174521265","https://openalex.org/W3189706564","https://openalex.org/W3206142154","https://openalex.org/W4220899165","https://openalex.org/W4288680348","https://openalex.org/W4294552035","https://openalex.org/W4312319794","https://openalex.org/W4360615204","https://openalex.org/W4378907934","https://openalex.org/W4385814281","https://openalex.org/W4386711078","https://openalex.org/W4388366298","https://openalex.org/W4388452158","https://openalex.org/W4389966067","https://openalex.org/W4396768947","https://openalex.org/W4403761654"],"related_works":[],"abstract_inverted_index":{"A":[0],"novel":[1],"multiple":[2],"attribute":[3],"group":[4,125],"decision-making":[5,126],"(MAGDM)":[6],"model":[7,82],"is":[8,65,102],"introduced":[9],"in":[10,24,75,127],"this":[11],"study,":[12],"utilizing":[13],"a":[14,61,71,84],"diversified":[15,110],"hesitant":[16,35,62,93,118,128],"fuzzy":[17,36,63,94,119,129],"multi-granulation":[18,39],"information":[19,26],"system":[20],"to":[21,56,77,87,104],"address":[22,88],"challenges":[23],"incomplete":[25],"settings.":[27],"The":[28,81],"analysis":[29],"commences":[30],"with":[31,113],"an":[32],"exploration":[33],"of":[34,44,52,70,108],"sets":[37],"and":[38],"approximation.":[40],"Subsequently,":[41],"the":[42,68,106,109],"integration":[43],"cumulative":[45],"prospect":[46],"theory":[47],"into":[48,124],"Technique":[49],"for":[50],"Order":[51],"Preference":[53],"by":[54],"Similarity":[55],"Ideal":[57],"Solution":[58],"(TOPSIS)":[59],"within":[60],"framework":[64],"discussed,":[66],"emphasizing":[67],"incorporation":[69],"risk":[72],"preference":[73],"coefficient":[74],"GDM":[76],"enhance":[78],"individual":[79],"assessments.":[80],"proposes":[83],"systematic":[85],"approach":[86],"various":[89],"MAGDM":[90,111],"scenarios":[91],"under":[92],"conditions.":[95],"An":[96],"illustrative":[97],"case":[98],"study":[99],"on":[100],"resource-sharing":[101],"provided":[103],"demonstrate":[105],"efficacy":[107],"model,":[112],"evaluation":[114],"outcomes":[115],"expressed":[116],"using":[117],"elements,":[120],"offering":[121],"valuable":[122],"insights":[123],"environments.":[130]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-11-07T00:00:00"}