{"id":"https://openalex.org/W3204722363","doi":"https://doi.org/10.1002/int.22657","title":"Neutrality aggregation operators based on complex q\u2010rung orthopair fuzzy sets and their applications in multiattribute decision\u2010making problems","display_name":"Neutrality aggregation operators based on complex q\u2010rung orthopair fuzzy sets and their applications in multiattribute decision\u2010making problems","publication_year":2021,"publication_date":"2021-09-24","ids":{"openalex":"https://openalex.org/W3204722363","doi":"https://doi.org/10.1002/int.22657","mag":"3204722363"},"language":"en","primary_location":{"id":"doi:10.1002/int.22657","is_oa":false,"landing_page_url":"https://doi.org/10.1002/int.22657","pdf_url":null,"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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054194585","display_name":"Harish Garg","orcid":"https://orcid.org/0000-0001-9099-8422"},"institutions":[{"id":"https://openalex.org/I162030827","display_name":"Thapar Institute of Engineering & Technology","ror":"https://ror.org/00wdq3744","country_code":"IN","type":"education","lineage":["https://openalex.org/I162030827"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Harish Garg","raw_affiliation_strings":["School of Mathematics, Thapar Institute of Engineering and Technology Deemed University  Patiala Punjab India"],"raw_orcid":"https://orcid.org/0000-0001-9099-8422","affiliations":[{"raw_affiliation_string":"School of Mathematics, Thapar Institute of Engineering and Technology Deemed University  Patiala Punjab India","institution_ids":["https://openalex.org/I162030827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039341855","display_name":"Amir H. Gandomi","orcid":"https://orcid.org/0000-0002-2798-0104"},"institutions":[{"id":"https://openalex.org/I114017466","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041","country_code":"AU","type":"education","lineage":["https://openalex.org/I114017466"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Amir H. Gandomi","raw_affiliation_strings":["Data Science Institute, Faculty of Engineering & Information Technology University of Technology Sydney  Ultimo New South Wales Australia"],"raw_orcid":"https://orcid.org/0000-0002-2798-0104","affiliations":[{"raw_affiliation_string":"Data Science Institute, Faculty of Engineering & Information Technology University of Technology Sydney  Ultimo New South Wales Australia","institution_ids":["https://openalex.org/I114017466"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100740852","display_name":"Zeeshan Ali","orcid":"https://orcid.org/0000-0001-5878-714X"},"institutions":[{"id":"https://openalex.org/I121243025","display_name":"International Islamic University, Islamabad","ror":"https://ror.org/047w75g40","country_code":"PK","type":"education","lineage":["https://openalex.org/I121243025"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Zeeshan Ali","raw_affiliation_strings":["Department of Mathematics and Statistics International Islamic University Islamabad  Islamabad Pakistan"],"raw_orcid":"https://orcid.org/0000-0001-5878-714X","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics International Islamic University Islamabad  Islamabad Pakistan","institution_ids":["https://openalex.org/I121243025"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100646948","display_name":"Tahir Mahmood","orcid":"https://orcid.org/0000-0002-3871-3845"},"institutions":[{"id":"https://openalex.org/I121243025","display_name":"International Islamic University, Islamabad","ror":"https://ror.org/047w75g40","country_code":"PK","type":"education","lineage":["https://openalex.org/I121243025"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Tahir Mahmood","raw_affiliation_strings":["Department of Mathematics and Statistics International Islamic University Islamabad  Islamabad Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-3871-3845","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics International Islamic University Islamabad  Islamabad Pakistan","institution_ids":["https://openalex.org/I121243025"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2500,"currency":"USD","value_usd":2500},"apc_paid":null,"fwci":4.1226,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.93986099,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"37","issue":"1","first_page":"1010","last_page":"1051"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998999834060669,"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":0.9998999834060669,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9945999979972839,"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"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9614999890327454,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/neutrality","display_name":"Neutrality","score":0.7501833438873291},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6374549269676208},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6162504553794861},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.5077899098396301},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4861104488372803},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3908576965332031},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32617878913879395},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.32285720109939575},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3070976138114929},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.28520554304122925},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.061575859785079956},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.04236146807670593}],"concepts":[{"id":"https://openalex.org/C2779581858","wikidata":"https://www.wikidata.org/wiki/Q9049677","display_name":"Neutrality","level":2,"score":0.7501833438873291},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6374549269676208},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6162504553794861},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.5077899098396301},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4861104488372803},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3908576965332031},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32617878913879395},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.32285720109939575},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3070976138114929},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28520554304122925},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.061575859785079956},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.04236146807670593}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/int.22657","is_oa":false,"landing_page_url":"https://doi.org/10.1002/int.22657","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Intelligent Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8199999928474426,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W1969882757","https://openalex.org/W1971875039","https://openalex.org/W1980564456","https://openalex.org/W2012575173","https://openalex.org/W2038073747","https://openalex.org/W2040691850","https://openalex.org/W2054416947","https://openalex.org/W2063610441","https://openalex.org/W2079457935","https://openalex.org/W2097403045","https://openalex.org/W2117827905","https://openalex.org/W2125268144","https://openalex.org/W2152743610","https://openalex.org/W2153478942","https://openalex.org/W2159489157","https://openalex.org/W2292359941","https://openalex.org/W2514754342","https://openalex.org/W2754849094","https://openalex.org/W2789682920","https://openalex.org/W2808872784","https://openalex.org/W2945404912","https://openalex.org/W2964782749","https://openalex.org/W2966723651","https://openalex.org/W2966856803","https://openalex.org/W2969691330","https://openalex.org/W2973030773","https://openalex.org/W2977960681","https://openalex.org/W2979734128","https://openalex.org/W2980545851","https://openalex.org/W2990072742","https://openalex.org/W2992529063","https://openalex.org/W2995542036","https://openalex.org/W2997256272","https://openalex.org/W3006309211","https://openalex.org/W3007494047","https://openalex.org/W3014153285","https://openalex.org/W3014515861","https://openalex.org/W3020996816","https://openalex.org/W3033446327","https://openalex.org/W3041484731","https://openalex.org/W3047863732","https://openalex.org/W3083248186","https://openalex.org/W3088891005","https://openalex.org/W3100717670","https://openalex.org/W3108658853","https://openalex.org/W3109027642","https://openalex.org/W3122530426","https://openalex.org/W3126924623","https://openalex.org/W3138681809","https://openalex.org/W3149771802","https://openalex.org/W3158118712","https://openalex.org/W3163975593","https://openalex.org/W3195155516","https://openalex.org/W3207182758","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W4211168656","https://openalex.org/W2572059069","https://openalex.org/W2547660074","https://openalex.org/W2472237388","https://openalex.org/W4241049928","https://openalex.org/W1991323803","https://openalex.org/W2575291552","https://openalex.org/W2336273751","https://openalex.org/W2146564110","https://openalex.org/W2588703081"],"abstract_inverted_index":{"Complex":[0],"q-rung":[1],"orthopair":[2],"fuzzy":[3,59,65],"sets":[4,60,66],"(CQROFSs)":[5],"are":[6,72],"proposed":[7,170],"to":[8,91,136,175,193],"convey":[9],"vague":[10],"material":[11],"in":[12,95,162],"decision-making":[13,147],"problems.":[14],"The":[15],"CQROFSs":[16],"can":[17,76],"enthusiastically":[18],"modify":[19],"the":[20,26,38,52,84,88,105,108,115,119,138,152,160,169,183,195,200],"region":[21],"of":[22,83,107,164,168,182,199],"proof":[23],"by":[24,103,150],"altering":[25],"factor":[27,110],"q":[28],"\u2265":[29],"1":[30],"for":[31,121],"real":[32],"and":[33,62,112,166,186,197],"imaginary":[34],"parts":[35],"based":[36,155],"on":[37,124,156],"variation":[39],"degree":[40],"and,":[41],"therefore,":[42],"favor":[43],"further":[44],"uncountable":[45],"options.":[46],"Consequently,":[47],"this":[48,96],"set":[49],"reverses":[50],"over":[51],"existing":[53,188],"theories,":[54],"such":[55,93],"as":[56],"complex":[57,63],"intuitionistic":[58],"(CIFSs)":[61],"Pythagorean":[64],"(CPFS).":[67],"In":[68],"everyday":[69],"life,":[70],"there":[71],"repeated":[73],"situations":[74],"that":[75],"occur,":[77],"which":[78],"involve":[79],"an":[80,144],"impartial":[81],"assertiveness":[82],"decision-makers.":[85],"To":[86,158],"determine":[87],"best":[89],"decision":[90],"handle":[92],"situations,":[94],"study,":[97],"we":[98,127,142],"propose":[99],"modern":[100],"operational":[101],"laws":[102],"joining":[104],"characteristics":[106],"truth":[109,116],"sum":[111],"collaboration":[113],"between":[114],"degrees":[117],"into":[118],"analysis":[120,181],"CQROFSs.":[122],"Based":[123],"these":[125],"principles,":[126],"determined":[128],"several":[129],"weighted":[130],"averaging":[131],"neutral":[132],"aggregation":[133],"operators":[134,185,189],"(AOs)":[135],"collect":[137],"CQROF":[139],"knowledge.":[140],"Subsequently,":[141],"established":[143],"original":[145],"multiattribute":[146],"(MADM)":[148],"procedure":[149],"using":[151],"demonstrated":[153],"AOs":[154],"CQROFS.":[157],"evaluate":[159],"effectiveness,":[161],"terms":[163],"reliability":[165],"consistency,":[167],"operators,":[171],"they":[172],"were":[173],"applied":[174],"some":[176],"numerical":[177],"examples.":[178],"A":[179],"comparative":[180],"investigated":[184],"other":[187],"was":[190],"also":[191],"performed":[192],"find":[194],"dominance":[196],"validity":[198],"introduced":[201],"MADM":[202],"method.":[203]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":7}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}