{"id":"https://openalex.org/W4381542608","doi":"https://doi.org/10.1155/2023/9891355","title":"Some Intuitionistic Cubic Fuzzy Muirhead Mean Operators with Their Application to Multicriteria Decision Making","display_name":"Some Intuitionistic Cubic Fuzzy Muirhead Mean Operators with Their Application to Multicriteria Decision Making","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4381542608","doi":"https://doi.org/10.1155/2023/9891355"},"language":"en","primary_location":{"id":"doi:10.1155/2023/9891355","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/9891355","pdf_url":"https://downloads.hindawi.com/journals/ijis/2023/9891355.pdf","source":{"id":"https://openalex.org/S57950554","display_name":"International Journal of Intelligent Systems","issn_l":"0884-8173","issn":["0884-8173","1098-111X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["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 Intelligent Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://downloads.hindawi.com/journals/ijis/2023/9891355.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101635050","display_name":"Yan Liu","orcid":"https://orcid.org/0000-0002-2368-6610"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan Liu","raw_affiliation_strings":["Key Laboratory of CNC Equipment Reliability, Ministry of Education, Changchun, Jilin 130022, China","School of Mechanical and Aerospace Engineering, Jilin University, Changchun, Jilin 130022, China"],"raw_orcid":"https://orcid.org/0000-0002-2368-6610","affiliations":[{"raw_affiliation_string":"Key Laboratory of CNC Equipment Reliability, Ministry of Education, Changchun, Jilin 130022, China","institution_ids":[]},{"raw_affiliation_string":"School of Mechanical and Aerospace Engineering, Jilin University, Changchun, Jilin 130022, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101951509","display_name":"Zhaojun Yang","orcid":"https://orcid.org/0000-0002-5966-9636"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhaojun Yang","raw_affiliation_strings":["Key Laboratory of CNC Equipment Reliability, Ministry of Education, Changchun, Jilin 130022, China","School of Mechanical and Aerospace Engineering, Jilin University, Changchun, Jilin 130022, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of CNC Equipment Reliability, Ministry of Education, Changchun, Jilin 130022, China","institution_ids":[]},{"raw_affiliation_string":"School of Mechanical and Aerospace Engineering, Jilin University, Changchun, Jilin 130022, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082449859","display_name":"Jialong He","orcid":"https://orcid.org/0000-0001-6598-6091"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jialong He","raw_affiliation_strings":["Key Laboratory of CNC Equipment Reliability, Ministry of Education, Changchun, Jilin 130022, China","School of Mechanical and Aerospace Engineering, Jilin University, Changchun, Jilin 130022, China"],"raw_orcid":"https://orcid.org/0000-0001-6598-6091","affiliations":[{"raw_affiliation_string":"Key Laboratory of CNC Equipment Reliability, Ministry of Education, Changchun, Jilin 130022, China","institution_ids":[]},{"raw_affiliation_string":"School of Mechanical and Aerospace Engineering, Jilin University, Changchun, Jilin 130022, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Lijuan Yu","orcid":"https://orcid.org/0000-0003-0266-0128"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lijuan Yu","raw_affiliation_strings":["Key Laboratory of CNC Equipment Reliability, Ministry of Education, Changchun, Jilin 130022, China","School of Mechanical and Aerospace Engineering, Jilin University, Changchun, Jilin 130022, China"],"raw_orcid":"https://orcid.org/0000-0003-0266-0128","affiliations":[{"raw_affiliation_string":"Key Laboratory of CNC Equipment Reliability, Ministry of Education, Changchun, Jilin 130022, China","institution_ids":[]},{"raw_affiliation_string":"School of Mechanical and Aerospace Engineering, Jilin University, Changchun, Jilin 130022, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070074876","display_name":"Yuan Zhong","orcid":"https://orcid.org/0000-0003-3183-5388"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuan Zhong","raw_affiliation_strings":["Key Laboratory of CNC Equipment Reliability, Ministry of Education, Changchun, Jilin 130022, China","School of Mechanical and Aerospace Engineering, Jilin University, Changchun, Jilin 130022, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of CNC Equipment Reliability, Ministry of Education, Changchun, Jilin 130022, China","institution_ids":[]},{"raw_affiliation_string":"School of Mechanical and Aerospace Engineering, Jilin University, Changchun, Jilin 130022, China","institution_ids":["https://openalex.org/I194450716"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5082449859"],"corresponding_institution_ids":["https://openalex.org/I194450716"],"apc_list":{"value":2500,"currency":"USD","value_usd":2500},"apc_paid":{"value":2500,"currency":"USD","value_usd":2500},"fwci":1.4793,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.8327998,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2023","issue":"1","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":0.9998000264167786,"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":0.9998000264167786,"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":0.9803000092506409,"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"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.972000002861023,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6354089379310608},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6149916648864746},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.48112669587135315},{"id":"https://openalex.org/keywords/multiple-criteria-decision-analysis","display_name":"Multiple-criteria decision analysis","score":0.4622023105621338},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.4578569829463959},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.44040486216545105},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.42348504066467285},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.41146647930145264},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3715580701828003},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36357539892196655},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33594077825546265},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33291351795196533},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32205837965011597},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21835067868232727},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21211087703704834}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6354089379310608},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6149916648864746},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.48112669587135315},{"id":"https://openalex.org/C11105738","wikidata":"https://www.wikidata.org/wiki/Q1895805","display_name":"Multiple-criteria decision analysis","level":2,"score":0.4622023105621338},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.4578569829463959},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.44040486216545105},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.42348504066467285},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.41146647930145264},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3715580701828003},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36357539892196655},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33594077825546265},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33291351795196533},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32205837965011597},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21835067868232727},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21211087703704834},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1155/2023/9891355","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/9891355","pdf_url":"https://downloads.hindawi.com/journals/ijis/2023/9891355.pdf","source":{"id":"https://openalex.org/S57950554","display_name":"International Journal of Intelligent Systems","issn_l":"0884-8173","issn":["0884-8173","1098-111X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["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 Intelligent Systems","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1155/2023/9891355","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/9891355","pdf_url":"https://downloads.hindawi.com/journals/ijis/2023/9891355.pdf","source":{"id":"https://openalex.org/S57950554","display_name":"International Journal of Intelligent Systems","issn_l":"0884-8173","issn":["0884-8173","1098-111X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["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 Intelligent Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8100000023841858,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G4474141622","display_name":null,"funder_award_id":"20210201055GX","funder_id":"https://openalex.org/F4320335953","funder_display_name":"Jilin Scientific and Technological Development Program"}],"funders":[{"id":"https://openalex.org/F4320335953","display_name":"Jilin Scientific and Technological Development Program","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4381542608.pdf","grobid_xml":"https://content.openalex.org/works/W4381542608.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W217726381","https://openalex.org/W1825141091","https://openalex.org/W1971875039","https://openalex.org/W2006309149","https://openalex.org/W2019529630","https://openalex.org/W2131886650","https://openalex.org/W2136776648","https://openalex.org/W2170493368","https://openalex.org/W2191035346","https://openalex.org/W2217983873","https://openalex.org/W2229808608","https://openalex.org/W2301439202","https://openalex.org/W2563128797","https://openalex.org/W2579304191","https://openalex.org/W2787988918","https://openalex.org/W2806570248","https://openalex.org/W2902396789","https://openalex.org/W2980737751","https://openalex.org/W2981446550","https://openalex.org/W2999125108","https://openalex.org/W3006266638","https://openalex.org/W3012345100","https://openalex.org/W3018987216","https://openalex.org/W3040656758","https://openalex.org/W3091871468","https://openalex.org/W3094206463","https://openalex.org/W3094584901","https://openalex.org/W3097481673","https://openalex.org/W3120282736","https://openalex.org/W3120856860","https://openalex.org/W3136752003","https://openalex.org/W3156946641","https://openalex.org/W3158900362","https://openalex.org/W3167169082","https://openalex.org/W3217336620","https://openalex.org/W4200167907","https://openalex.org/W4205589720","https://openalex.org/W4212857100","https://openalex.org/W4214761759","https://openalex.org/W4283723322","https://openalex.org/W4312296087"],"related_works":["https://openalex.org/W2253053392","https://openalex.org/W2184441312","https://openalex.org/W2121560876","https://openalex.org/W4206081075","https://openalex.org/W2331106272","https://openalex.org/W2366385051","https://openalex.org/W1470403688","https://openalex.org/W1486684451","https://openalex.org/W4361984403","https://openalex.org/W4361273540"],"abstract_inverted_index":{"Intuitionistic":[0],"cubic":[1,58,74,81,87,94,102],"fuzzy":[2,8,13,17,59,75,82,88,95,103],"sets":[3,14,60],"(ICFSs),":[4],"as":[5],"a":[6],"hybrid":[7],"set":[9],"consisting":[10],"of":[11,24,115,147],"interval\u2010valued":[12],"and":[15,100,113,126,131,141,145],"intuitionistic":[16,57,73,80,86,93,101],"sets,":[18],"can":[19,35],"deal":[20,36],"with":[21,37,160],"the":[22,38,72,79,132,142,148],"uncertainty":[23],"information":[25],"in":[26,42,152],"decision":[27,43,121,134,150],"problems":[28,44],"more":[29,45],"comprehensively.":[30],"Muirhead":[31],"mean":[32],"(MM)":[33],"operators":[34,55,68,128],"correlation":[39],"between":[40],"attributes":[41],"realistically.":[46],"However,":[47],"there":[48],"has":[49],"been":[50],"no":[51],"research":[52],"on":[53,124],"MM":[54,83,90,97,106],"under":[56,71],"so":[61],"far.":[62],"In":[63],"this":[64,153],"study,":[65],"some":[66],"new":[67],"are":[69,117,129,136,155],"proposed":[70,133,149],"set.":[76],"It":[77],"contains":[78],"(ICFMM)":[84],"operator,":[85,92,99],"weighted":[89,105],"(ICFWMM)":[91],"dual":[96,104],"(ICFDMM)":[98],"(ICFDWMM)":[107],"operator.":[108],"Their":[109],"proof":[110,114],"procedure,":[111],"properties,":[112],"properties":[116],"given.":[118],"Two":[119],"MCDM":[120],"models":[122,135],"based":[123],"ICFWMM":[125],"ICFDWMM":[127],"proposed,":[130],"applied":[137],"to":[138],"supplier":[139],"selection,":[140],"better":[143],"reliability":[144],"accuracy":[146],"methods":[151],"study":[154],"verified":[156],"through":[157],"comparative":[158],"analysis":[159],"existing":[161],"methods.":[162]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1}],"updated_date":"2025-12-24T23:09:58.560324","created_date":"2025-10-10T00:00:00"}