{"id":"https://openalex.org/W4313449031","doi":"https://doi.org/10.3233/jifs-221859","title":"Additive consistency of q-rung orthopair fuzzy preference relations with application to risk analysis","display_name":"Additive consistency of q-rung orthopair fuzzy preference relations with application to risk analysis","publication_year":2022,"publication_date":"2022-12-20","ids":{"openalex":"https://openalex.org/W4313449031","doi":"https://doi.org/10.3233/jifs-221859"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-221859","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-221859","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100389530","display_name":"Zhenyu Zhang","orcid":"https://orcid.org/0000-0002-4888-4023"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenyu Zhang","raw_affiliation_strings":["School of Automation, Nanjing University of Science and Technology, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061772046","display_name":"Jian Guo","orcid":"https://orcid.org/0000-0002-9016-9912"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jian Guo","raw_affiliation_strings":["School of Automation, Nanjing University of Science and Technology, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101669483","display_name":"Huirong Zhang","orcid":"https://orcid.org/0000-0002-7363-7278"},"institutions":[{"id":"https://openalex.org/I4210097214","display_name":"Shandong Management University","ror":"https://ror.org/00vzprm14","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210097214"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huirong Zhang","raw_affiliation_strings":["School of Labor Relationship, Shandong Management University, Jinan, China"],"affiliations":[{"raw_affiliation_string":"School of Labor Relationship, Shandong Management University, Jinan, China","institution_ids":["https://openalex.org/I4210097214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088716214","display_name":"Yong Qin","orcid":"https://orcid.org/0000-0002-6519-8316"},"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":"Yong Qin","raw_affiliation_strings":["State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5061772046"],"corresponding_institution_ids":["https://openalex.org/I36399199"],"apc_list":null,"apc_paid":null,"fwci":0.6546,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.72958995,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"44","issue":"4","first_page":"6939","last_page":"6955"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9994999766349792,"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":0.9994999766349792,"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/T14368","display_name":"Evaluation and Optimization Models","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9818000197410583,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.7116595506668091},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6361942291259766},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5806063413619995},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.5480818152427673},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.49223747849464417},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.4525142014026642},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38272300362586975},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27033478021621704},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2264956533908844},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1740720570087433},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08035758137702942},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07780253887176514}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.7116595506668091},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6361942291259766},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5806063413619995},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.5480818152427673},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.49223747849464417},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.4525142014026642},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38272300362586975},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27033478021621704},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2264956533908844},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1740720570087433},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08035758137702942},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07780253887176514},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-221859","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-221859","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8100000023841858}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W45798882","https://openalex.org/W1981107087","https://openalex.org/W1982675899","https://openalex.org/W1988242538","https://openalex.org/W1993810822","https://openalex.org/W2041280856","https://openalex.org/W2045376424","https://openalex.org/W2056059065","https://openalex.org/W2060706257","https://openalex.org/W2489736099","https://openalex.org/W2514754342","https://openalex.org/W2617807095","https://openalex.org/W2746747652","https://openalex.org/W2808872784","https://openalex.org/W2884525233","https://openalex.org/W2898546608","https://openalex.org/W2913993690","https://openalex.org/W2947483450","https://openalex.org/W2948014788","https://openalex.org/W2951063129","https://openalex.org/W2969947121","https://openalex.org/W2970676126","https://openalex.org/W2981732376","https://openalex.org/W3009821779","https://openalex.org/W3009876158","https://openalex.org/W3033055547","https://openalex.org/W3037846358","https://openalex.org/W3093340108","https://openalex.org/W3094501972","https://openalex.org/W3097542744","https://openalex.org/W3126924623","https://openalex.org/W3127542994","https://openalex.org/W3138681809","https://openalex.org/W3157552507","https://openalex.org/W3195556921","https://openalex.org/W3199109559","https://openalex.org/W3200750849","https://openalex.org/W4200081742","https://openalex.org/W4200573865","https://openalex.org/W4210801031","https://openalex.org/W4211007335","https://openalex.org/W4285735663","https://openalex.org/W4293193027","https://openalex.org/W4297860879","https://openalex.org/W6738764583","https://openalex.org/W6763845620","https://openalex.org/W6784824773","https://openalex.org/W6807496767"],"related_works":["https://openalex.org/W4315701745","https://openalex.org/W1990290471","https://openalex.org/W4380682190","https://openalex.org/W2102386043","https://openalex.org/W2945307361","https://openalex.org/W2116636209","https://openalex.org/W2053698688","https://openalex.org/W1997631083","https://openalex.org/W4220842692","https://openalex.org/W3108276097"],"abstract_inverted_index":{"Preference":[0],"relations":[1,16],"have":[2],"been":[3],"extended":[4],"to":[5,60,85],"q-rung":[6,12,28,76],"orthopair":[7,13,29,77],"fuzzy":[8,14,30,78],"environment,":[9],"and":[10,36,93,113,121],"the":[11,24,37,50,62,65,68,97,110,114,119,124],"preference":[15],"(q-ROFPRs)":[17],"with":[18,43],"additive":[19,44,70],"consistency":[20,45],"are":[21,128],"defined.":[22],"Then,":[23],"concept":[25],"of":[26,40,53,64,123,133],"normalized":[27],"weight":[31,51],"vector":[32,52],"(q-ROFWV)":[33],"is":[34,46,73,83,106],"proposed,":[35],"transformation":[38],"method":[39,105,127],"constructing":[41],"q-ROFPR":[42],"given.":[47],"To":[48],"obtain":[49],"any":[54],"q-ROFPRs,":[55,88],"a":[56,101],"goal":[57,115],"programming":[58,116],"model":[59],"minimize":[61],"deviation":[63],"q-ROFPRs":[66,72],"from":[67],"constructed":[69],"consistent":[71],"established.":[74],"The":[75],"weighted":[79],"quadratic":[80],"(q-ROFWQ)":[81],"operator":[82,112],"selected":[84],"aggregate":[86],"multiple":[87],"efficiently":[89],"handling":[90],"extreme":[91],"values":[92],"satisfying":[94],"monotonicity":[95],"about":[96],"order":[98],"relation.":[99],"Further,":[100],"group":[102],"decision-making":[103],"(GDM)":[104],"developed":[107,125],"by":[108,130],"combining":[109],"q-ROFWQ":[111],"model.":[117],"Finally,":[118],"practicality":[120],"feasibility":[122],"GDM":[126],"demonstrated":[129],"an":[131],"example":[132],"rail":[134],"bogie":[135],"crucial":[136],"component":[137],"identification.":[138]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}