{"id":"https://openalex.org/W2897422271","doi":"https://doi.org/10.3390/sym10100472","title":"Some q-Rung Dual Hesitant Fuzzy Heronian Mean Operators with Their Application to Multiple Attribute Group Decision-Making","display_name":"Some q-Rung Dual Hesitant Fuzzy Heronian Mean Operators with Their Application to Multiple Attribute Group Decision-Making","publication_year":2018,"publication_date":"2018-10-10","ids":{"openalex":"https://openalex.org/W2897422271","doi":"https://doi.org/10.3390/sym10100472","mag":"2897422271"},"language":"en","primary_location":{"id":"doi:10.3390/sym10100472","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10100472","pdf_url":"https://www.mdpi.com/2073-8994/10/10/472/pdf?version=1539167517","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/2073-8994/10/10/472/pdf?version=1539167517","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":false,"raw_author_name":"Yuan Xu","raw_affiliation_strings":["School of Economics and Management, Beijing Jiaotong University, Beijing 100044, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Beijing Jiaotong University, Beijing 100044, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071376543","display_name":"Xiaopu Shang","orcid":null},"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":"Xiaopu Shang","raw_affiliation_strings":["School of Economics and Management, Beijing Jiaotong University, Beijing 100044, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Beijing Jiaotong University, Beijing 100044, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100384616","display_name":"Jun Wang","orcid":"https://orcid.org/0000-0001-7522-8593"},"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 100044, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Beijing Jiaotong University, Beijing 100044, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100953245","display_name":"Wu Wen","orcid":null},"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":"Wen Wu","raw_affiliation_strings":["School of Economics and Management, Beijing Jiaotong University, Beijing 100044, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Beijing Jiaotong University, Beijing 100044, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089956362","display_name":"Huiqun Huang","orcid":"https://orcid.org/0009-0007-5262-472X"},"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":"Huiqun Huang","raw_affiliation_strings":["School of Software Engineering, Beijing Jiaotong University, Beijing 100044, China"],"affiliations":[{"raw_affiliation_string":"School of Software Engineering, Beijing Jiaotong University, Beijing 100044, China","institution_ids":["https://openalex.org/I21193070"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5071376543"],"corresponding_institution_ids":["https://openalex.org/I21193070"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":12.3553,"has_fulltext":true,"cited_by_count":98,"citation_normalized_percentile":{"value":0.98750455,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"10","issue":"10","first_page":"472","last_page":"472"},"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/T12120","display_name":"Air Quality Monitoring and Forecasting","score":0.9157999753952026,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9017000198364258,"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":0.7885212898254395},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.680810809135437},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6519997119903564},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6371760964393616},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.49912428855895996},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4787991940975189},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.45928478240966797},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.383122980594635},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35233694314956665},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28481683135032654}],"concepts":[{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.7885212898254395},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.680810809135437},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6519997119903564},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6371760964393616},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.49912428855895996},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4787991940975189},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.45928478240966797},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.383122980594635},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35233694314956665},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28481683135032654},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"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/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"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":3,"locations":[{"id":"doi:10.3390/sym10100472","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10100472","pdf_url":"https://www.mdpi.com/2073-8994/10/10/472/pdf?version=1539167517","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:78d8f764864445f288d6e4ef4bbf31df","is_oa":true,"landing_page_url":"https://doaj.org/article/78d8f764864445f288d6e4ef4bbf31df","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":"Symmetry, Vol 10, Iss 10, p 472 (2018)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/10/10/472/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym10100472","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym10100472","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10100472","pdf_url":"https://www.mdpi.com/2073-8994/10/10/472/pdf?version=1539167517","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":[{"score":0.8199999928474426,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"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/G2376276132","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"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"},{"id":"https://openalex.org/G8951484681","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"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/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2897422271.pdf","grobid_xml":"https://content.openalex.org/works/W2897422271.grobid-xml"},"referenced_works_count":47,"referenced_works":["https://openalex.org/W1594086218","https://openalex.org/W1829951598","https://openalex.org/W1980564456","https://openalex.org/W2013932252","https://openalex.org/W2016698635","https://openalex.org/W2045326273","https://openalex.org/W2051315111","https://openalex.org/W2068843436","https://openalex.org/W2116215123","https://openalex.org/W2136176363","https://openalex.org/W2144086263","https://openalex.org/W2273432898","https://openalex.org/W2292359941","https://openalex.org/W2396040005","https://openalex.org/W2514754342","https://openalex.org/W2518370463","https://openalex.org/W2589088469","https://openalex.org/W2589415252","https://openalex.org/W2593418740","https://openalex.org/W2604920622","https://openalex.org/W2653372477","https://openalex.org/W2722833530","https://openalex.org/W2732135403","https://openalex.org/W2734467534","https://openalex.org/W2739534728","https://openalex.org/W2746747652","https://openalex.org/W2746791943","https://openalex.org/W2756292711","https://openalex.org/W2761016817","https://openalex.org/W2766716840","https://openalex.org/W2767639873","https://openalex.org/W2773588687","https://openalex.org/W2774945494","https://openalex.org/W2784809004","https://openalex.org/W2792671092","https://openalex.org/W2801101481","https://openalex.org/W2803001434","https://openalex.org/W2803288599","https://openalex.org/W2803479614","https://openalex.org/W2810583685","https://openalex.org/W2872158697","https://openalex.org/W2876035269","https://openalex.org/W2885459375","https://openalex.org/W2892091533","https://openalex.org/W2942422378","https://openalex.org/W4211007335","https://openalex.org/W6679780668"],"related_works":["https://openalex.org/W2317351040","https://openalex.org/W2952466936","https://openalex.org/W1988622314","https://openalex.org/W2393949104","https://openalex.org/W4236344264","https://openalex.org/W3046201198","https://openalex.org/W4293061921","https://openalex.org/W2014786470","https://openalex.org/W2077860847","https://openalex.org/W2944773591"],"abstract_inverted_index":{"The":[0,19,132,148],"q-rung":[1,25,78,90],"orthopair":[2,26],"fuzzy":[3,27,63,81,93],"sets":[4,64,82],"(q-ROFSs),":[5],"originated":[6],"by":[7,33],"Yager,":[8],"are":[9,24,31,105,140],"good":[10],"tools":[11],"to":[12,73,118,126],"describe":[13],"fuzziness":[14],"in":[15,107],"human":[16],"cognitive":[17],"processes.":[18],"basic":[20],"elements":[21],"of":[22,89,136,151],"q-ROFSs":[23],"numbers":[28],"(q-ROFNs),":[29],"which":[30],"constructed":[32],"membership":[34,55],"and":[35,56,130,134],"nonmembership":[36,57],"degrees.":[37,58],"As":[38],"realistic":[39],"decision-making":[40,111],"is":[41,154,161],"very":[42],"complicated,":[43],"decision":[44],"makers":[45],"(DMs)":[46],"may":[47],"be":[48],"hesitant":[49,62,80,92],"among":[50],"several":[51],"values":[52],"when":[53],"determining":[54],"By":[59],"incorporating":[60],"dual":[61,79,91],"(DHFSs)":[65],"into":[66],"q-ROFSs,":[67],"we":[68,85],"propose":[69,86],"a":[70,87,120,156],"new":[71,157],"technique":[72],"deal":[74],"with":[75,144],"uncertainty,":[76],"called":[77],"(q-RDHFSs).":[83],"Subsequently,":[84],"family":[88],"Heronian":[94],"mean":[95],"operators":[96,104],"for":[97,159],"q-RDHFSs.":[98],"Further,":[99],"the":[100,115,137],"newly":[101],"developed":[102],"aggregation":[103],"utilized":[106],"multiple":[108],"attribute":[109],"group":[110],"(MAGDM).":[112],"We":[113],"used":[114],"proposed":[116,138],"method":[117,139,158],"solve":[119],"most":[121],"suitable":[122],"supplier":[123],"selection":[124],"problem":[125],"demonstrate":[127],"its":[128],"effectiveness":[129],"usefulness.":[131],"merits":[133],"advantages":[135],"highlighted":[141],"via":[142],"comparison":[143],"existing":[145],"MAGDM":[146,160],"methods.":[147],"main":[149],"contribution":[150],"this":[152],"paper":[153],"that":[155],"proposed.":[162]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":16},{"year":2022,"cited_by_count":16},{"year":2021,"cited_by_count":16},{"year":2020,"cited_by_count":19},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":3}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}
