{"id":"https://openalex.org/W2802256656","doi":"https://doi.org/10.1109/access.2018.2832206","title":"New Operators for Aggregating Intuitionistic Fuzzy Information With Their Application in Decision Making","display_name":"New Operators for Aggregating Intuitionistic Fuzzy Information With Their Application in Decision Making","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2802256656","doi":"https://doi.org/10.1109/access.2018.2832206","mag":"2802256656"},"language":"en","primary_location":{"id":"doi:10.1109/access.2018.2832206","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2832206","pdf_url":null,"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://doi.org/10.1109/access.2018.2832206","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068826545","display_name":"Chengli Fan","orcid":"https://orcid.org/0000-0002-8286-8414"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cheng-Li Fan","raw_affiliation_strings":["Air Force Engineering University, Xi'an, Shaanxi, CN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Air Force Engineering University, Xi'an, Shaanxi, CN","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100784138","display_name":"Yafei Song","orcid":"https://orcid.org/0000-0003-0962-0671"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yafei Song","raw_affiliation_strings":["Air Force Engineering University, Xi'an, Shaanxi, CN"],"raw_orcid":"https://orcid.org/0000-0003-0962-0671","affiliations":[{"raw_affiliation_string":"Air Force Engineering University, Xi'an, Shaanxi, CN","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032254756","display_name":"Qiang Fu","orcid":"https://orcid.org/0000-0002-1456-4216"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiang Fu","raw_affiliation_strings":["Air Force Engineering University, Xi'an, Shaanxi, CN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Air Force Engineering University, Xi'an, Shaanxi, CN","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100381334","display_name":"Lei Lei","orcid":"https://orcid.org/0000-0001-8415-8611"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Lei","raw_affiliation_strings":["Air Force Engineering University, Xi'an, Shaanxi, CN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Air Force Engineering University, Xi'an, Shaanxi, CN","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100395120","display_name":"Xiaodan Wang","orcid":"https://orcid.org/0000-0003-2785-9539"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaodan Wang","raw_affiliation_strings":["Air Force Engineering University, Xi'an, Shaanxi, CN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Air Force Engineering University, Xi'an, Shaanxi, CN","institution_ids":["https://openalex.org/I4210104252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210104252"],"apc_list":{"value":2075,"currency":"USD","value_usd":2075},"apc_paid":{"value":2075,"currency":"USD","value_usd":2075},"fwci":6.5633,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.96812538,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"6","issue":null,"first_page":"27214","last_page":"27238"},"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":0.9575999975204468,"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":0.9462000131607056,"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/operator","display_name":"Operator (biology)","score":0.6146284937858582},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6101356744766235},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.5533779859542847},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5037335753440857},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.48651331663131714},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.4776928722858429},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.4582591950893402},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4324783682823181},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.4319148063659668},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.4197123050689697},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38892170786857605},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37980422377586365},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35103750228881836},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25812119245529175},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24942082166671753}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6146284937858582},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6101356744766235},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.5533779859542847},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5037335753440857},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.48651331663131714},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.4776928722858429},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.4582591950893402},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4324783682823181},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.4319148063659668},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.4197123050689697},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38892170786857605},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37980422377586365},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35103750228881836},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25812119245529175},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24942082166671753},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2018.2832206","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2832206","pdf_url":null,"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:5adacaac4d90407a98077ce4ac592543","is_oa":true,"landing_page_url":"https://doaj.org/article/5adacaac4d90407a98077ce4ac592543","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"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 6, Pp 27214-27238 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2018.2832206","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2832206","pdf_url":null,"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":0.8199999928474426,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G3006619586","display_name":null,"funder_award_id":"61703426","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5092255126","display_name":null,"funder_award_id":"61503407","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5204689012","display_name":null,"funder_award_id":"61273275","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7544001796","display_name":null,"funder_award_id":"60975026","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7736949626","display_name":null,"funder_award_id":"61573375","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W217726381","https://openalex.org/W1965777053","https://openalex.org/W1969921454","https://openalex.org/W1970781361","https://openalex.org/W1971750628","https://openalex.org/W1971875039","https://openalex.org/W1974484792","https://openalex.org/W1978336073","https://openalex.org/W1978889792","https://openalex.org/W1980564456","https://openalex.org/W1981107087","https://openalex.org/W1982675899","https://openalex.org/W1988053196","https://openalex.org/W1988242538","https://openalex.org/W1991446918","https://openalex.org/W1995972849","https://openalex.org/W2008103229","https://openalex.org/W2010123060","https://openalex.org/W2012288218","https://openalex.org/W2013908206","https://openalex.org/W2014417436","https://openalex.org/W2015282411","https://openalex.org/W2017977229","https://openalex.org/W2021470000","https://openalex.org/W2022771805","https://openalex.org/W2023946257","https://openalex.org/W2026951642","https://openalex.org/W2029377923","https://openalex.org/W2031241748","https://openalex.org/W2031523830","https://openalex.org/W2031868409","https://openalex.org/W2036378460","https://openalex.org/W2040920346","https://openalex.org/W2049898494","https://openalex.org/W2067217421","https://openalex.org/W2067253988","https://openalex.org/W2070417014","https://openalex.org/W2078423530","https://openalex.org/W2081037298","https://openalex.org/W2084063803","https://openalex.org/W2087991154","https://openalex.org/W2089953456","https://openalex.org/W2092165551","https://openalex.org/W2094298237","https://openalex.org/W2130626816","https://openalex.org/W2131233583","https://openalex.org/W2165024836","https://openalex.org/W2343818608","https://openalex.org/W2344702009","https://openalex.org/W2418398260","https://openalex.org/W2461507070","https://openalex.org/W2480924053","https://openalex.org/W2493976044","https://openalex.org/W2506143708","https://openalex.org/W2512019570","https://openalex.org/W2590846539","https://openalex.org/W2606031165","https://openalex.org/W2606422429","https://openalex.org/W2609326230","https://openalex.org/W2613185130","https://openalex.org/W2623978803","https://openalex.org/W2709480298","https://openalex.org/W2753546593","https://openalex.org/W2765227114","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4230733346","https://openalex.org/W4244801356"],"related_works":["https://openalex.org/W2674573885","https://openalex.org/W2253053392","https://openalex.org/W2614887008","https://openalex.org/W4206081075","https://openalex.org/W2121560876","https://openalex.org/W2211233","https://openalex.org/W2331106272","https://openalex.org/W2184441312","https://openalex.org/W1485268022","https://openalex.org/W1975005191"],"abstract_inverted_index":{"Aggregation":[0],"of":[1,30,86,140,176,188],"intuitionistic":[2,11,42,52,64,71,79,97,104,111,120,165],"fuzzy":[3,12,43,53,65,72,80,98,105,112,121,166],"information":[4],"is":[5,129],"a":[6,28],"hot":[7],"topic":[8],"in":[9,22],"Atanassov\u2019s":[10],"set":[13],"theory,":[14],"which":[15],"has":[16],"attracted":[17],"much":[18],"interest":[19],"from":[20],"researchers":[21],"recent":[23],"years.":[24],"In":[25],"this":[26],"paper,":[27],"series":[29],"new":[31,149],"aggregation":[32],"operators":[33,37,136],"and":[34,70,90,119,144,154,186],"weighted":[35,66,73,88,92,100,107,114,123,134],"averaging":[36,68,75,89,102,109,116,125,135],"are":[38,55,170],"proposed":[39,133,178],"for":[40,49],"aggregating":[41],"information.":[44,81],"First,":[45],"some":[46],"basic":[47],"laws":[48],"operations":[50],"on":[51,152],"values":[54],"presented":[56],"together":[57],"with":[58,194],"their":[59],"properties.":[60],"Then,":[61],"we":[62,94,147],"propose":[63,148],"arithmetic":[67,101,115],"operator":[69,76],"geometric":[74,108,124],"to":[77,158,172],"aggregate":[78],"Inspired":[82],"by":[83,192],"the":[84,138,174,177,184,189,195],"idea":[85],"ordered":[87,99,106],"hybrid":[91,113,122],"averaging,":[93],"further":[95],"develop":[96],"operator,":[103,110,118],"(IFHWAA)":[117],"(IFHWGA)":[126],"operator.":[127],"It":[128],"proved":[130],"that":[131],"all":[132],"have":[137],"properties":[139],"idempotency,":[141],"boundary,":[142],"monotonicity,":[143],"commutativity.":[145],"Finally,":[146],"methods":[150],"based":[151],"IFHWAA":[153],"IFHWGA":[155],"operators,":[156],"respectively,":[157],"solve":[159],"multi-attribute":[160],"group":[161],"decision":[162],"making":[163],"under":[164],"environment.":[167],"Some":[168],"examples":[169],"applied":[171],"illustrate":[173],"performance":[175],"methods.":[179,197],"The":[180],"experimental":[181],"results":[182],"show":[183],"effectiveness":[185],"advantages":[187],"developed":[190],"method":[191],"comparing":[193],"other":[196]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":7}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
