{"id":"https://openalex.org/W2942471330","doi":"https://doi.org/10.1109/access.2019.2912814","title":"Some Interval-Valued q-Rung Dual Hesitant Fuzzy Muirhead Mean Operators With Their Application to Multi-Attribute Decision-Making","display_name":"Some Interval-Valued q-Rung Dual Hesitant Fuzzy Muirhead Mean Operators With Their Application to Multi-Attribute Decision-Making","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2942471330","doi":"https://doi.org/10.1109/access.2019.2912814","mag":"2942471330"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2912814","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2912814","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08695819.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08695819.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100378207","display_name":"Yuan Xu","orcid":"https://orcid.org/0000-0001-9589-6046"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuan Xu","raw_affiliation_strings":["School of Economics and Management, Beijing Jiaotong University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071376543","display_name":"Xiaopu Shang","orcid":"https://orcid.org/0000-0002-7872-5744"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaopu Shang","raw_affiliation_strings":["School of Economics and Management, Beijing Jiaotong University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100384904","display_name":"Jun Wang","orcid":"https://orcid.org/0000-0003-2695-3021"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Wang","raw_affiliation_strings":["School of Economics and Management, Beijing Jiaotong University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101472952","display_name":"Hongmei Zhao","orcid":"https://orcid.org/0000-0002-5142-2516"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongmei Zhao","raw_affiliation_strings":["School of Economics and Management, Beijing Jiaotong University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008891083","display_name":"Runtong Zhang","orcid":"https://orcid.org/0000-0003-0246-5058"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Runtong Zhang","raw_affiliation_strings":["School of Economics and Management, Beijing Jiaotong University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091453895","display_name":"Kaiyuan Bai","orcid":"https://orcid.org/0000-0002-2344-3627"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kaiyuan Bai","raw_affiliation_strings":["School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100378207"],"corresponding_institution_ids":["https://openalex.org/I21193070"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":6.7858,"has_fulltext":true,"cited_by_count":38,"citation_normalized_percentile":{"value":0.96819995,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"7","issue":null,"first_page":"54724","last_page":"54745"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9936000108718872,"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":0.9894999861717224,"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/dual","display_name":"Dual (grammatical number)","score":0.7153418660163879},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6348475813865662},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5471094250679016},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5251265168190002},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.48041343688964844},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.41519057750701904},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30016109347343445},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2966548502445221},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10391205549240112}],"concepts":[{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.7153418660163879},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6348475813865662},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5471094250679016},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5251265168190002},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.48041343688964844},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.41519057750701904},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30016109347343445},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2966548502445221},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10391205549240112},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","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":2,"locations":[{"id":"doi:10.1109/access.2019.2912814","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2912814","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08695819.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:f7a66eb1d7b742e9815a0607014da95b","is_oa":true,"landing_page_url":"https://doaj.org/article/f7a66eb1d7b742e9815a0607014da95b","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 7, Pp 54724-54745 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2912814","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2912814","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08695819.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.8299999833106995,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G205675789","display_name":null,"funder_award_id":"7192107","funder_id":"https://openalex.org/F4320322919","funder_display_name":"Natural Science Foundation of Beijing Municipality"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2702356746","display_name":null,"funder_award_id":"61702","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3376678438","display_name":null,"funder_award_id":"71532002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3744313044","display_name":null,"funder_award_id":"Social","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6141069227","display_name":null,"funder_award_id":"61702023","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"},{"id":"https://openalex.org/F4320321106","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934"},{"id":"https://openalex.org/F4320322919","display_name":"Natural Science Foundation of Beijing Municipality","ror":null},{"id":"https://openalex.org/F4320336751","display_name":"Science Foundation of Ministry of Education of China","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2942471330.pdf","grobid_xml":"https://content.openalex.org/works/W2942471330.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W1541340729","https://openalex.org/W2013932252","https://openalex.org/W2068069653","https://openalex.org/W2068843436","https://openalex.org/W2136776648","https://openalex.org/W2172235953","https://openalex.org/W2391648306","https://openalex.org/W2514754342","https://openalex.org/W2579304191","https://openalex.org/W2638395597","https://openalex.org/W2731349674","https://openalex.org/W2739534728","https://openalex.org/W2746747652","https://openalex.org/W2756292711","https://openalex.org/W2761016817","https://openalex.org/W2788986380","https://openalex.org/W2789682920","https://openalex.org/W2801101481","https://openalex.org/W2803479614","https://openalex.org/W2810583685","https://openalex.org/W2810614033","https://openalex.org/W2872158697","https://openalex.org/W2876035269","https://openalex.org/W2883551739","https://openalex.org/W2883904673","https://openalex.org/W2884025808","https://openalex.org/W2886908423","https://openalex.org/W2892091533","https://openalex.org/W2897422271","https://openalex.org/W2898190680","https://openalex.org/W2899304489","https://openalex.org/W2900419240","https://openalex.org/W2900501367","https://openalex.org/W2904219061","https://openalex.org/W2904468863","https://openalex.org/W2907549042","https://openalex.org/W2908064120","https://openalex.org/W2908383203","https://openalex.org/W2913148204","https://openalex.org/W2960141790","https://openalex.org/W4239165868","https://openalex.org/W4292333025","https://openalex.org/W6669612585","https://openalex.org/W6765686370"],"related_works":["https://openalex.org/W2317351040","https://openalex.org/W4285447065","https://openalex.org/W1988622314","https://openalex.org/W3086618278","https://openalex.org/W2393949104","https://openalex.org/W3046201198","https://openalex.org/W4293061921","https://openalex.org/W2952466936","https://openalex.org/W2807441102","https://openalex.org/W2944773591"],"abstract_inverted_index":{"Considering":[0],"decision":[1],"makers":[2],"(DMs)":[3],"maybe":[4],"hesitant":[5,27,62,75,92,116,126,137,149],"among":[6],"a":[7,19,103,158],"set":[8,104],"of":[9,41,71,82,88,105,182],"values":[10,49],"when":[11],"determining":[12],"the":[13,24,52,59,69,80,112,122,133,145,166,171,183],"membership":[14,53],"and":[15,54,85,144,180],"non-membership":[16,55],"degrees":[17],"in":[18,34],"q-rung":[20,25,73,90,114,124,135,147],"orthopair":[21],"fuzzy":[22,28,63,76,93,117,127,138,150],"environment,":[23],"dual":[26,61,74,91,115,125,136,139,148,151],"sets":[29,64,77],"(q-RDHFS)":[30],"were":[31],"proposed.":[32],"However,":[33],"practical":[35],"multi-attribute":[36],"decision-making":[37],"(MADM)":[38],"problems,":[39],"instated":[40],"crisp":[42],"numbers,":[43],"DMs":[44],"prefer":[45],"to":[46,50,99],"use":[47],"interval":[48],"represent":[51],"degrees.":[56],"Motivated":[57],"by":[58],"interval-valued":[60,72,89,113,123,134,146],"(IVDHFS),":[65],"this":[66],"paper":[67],"proposes":[68],"concept":[70],"(IVq-RDHFSs).":[78],"First,":[79],"definition":[81],"IVq-RDHFS,":[83],"operations":[84],"comparison":[86],"method":[87,173,185],"elements":[94],"(IVq-RDHFEs)":[95],"are":[96,109,186],"presented.":[97],"Second,":[98],"effectively":[100],"aggregate":[101],"IVq-RDHFEs,":[102],"new":[106,159,172],"aggregation":[107],"operators":[108],"proposed,":[110],"namely,":[111],"Muirhead":[118,129,140,153],"mean":[119,130,141,154],"(IVq-RDHFMM)":[120],"operator,":[121,132],"weighted":[128,152],"(IVq-RDHFWMM)":[131],"(IVq-RDHFDMM)":[142],"operator":[143],"(IVq-RDHFDWMM)":[155],"operator.":[156],"Third,":[157],"MADM":[160],"approach":[161],"is":[162],"proposed":[163,167,184],"based":[164],"on":[165],"operators.":[168],"We":[169],"verify":[170],"through":[174],"an":[175],"illustrative":[176],"example.":[177],"The":[178],"superiority":[179],"advantages":[181],"also":[187],"discussed.":[188]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":2}],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2025-10-10T00:00:00"}
