{"id":"https://openalex.org/W2886100642","doi":"https://doi.org/10.3233/jifs-17636","title":"Some trapezoidal interval type-2 fuzzy Heronian mean operators and their application in multiple attribute group decision making","display_name":"Some trapezoidal interval type-2 fuzzy Heronian mean operators and their application in multiple attribute group decision making","publication_year":2018,"publication_date":"2018-08-01","ids":{"openalex":"https://openalex.org/W2886100642","doi":"https://doi.org/10.3233/jifs-17636","mag":"2886100642"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-17636","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-17636","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 &amp; 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/A5101526987","display_name":"Honghai Wang","orcid":"https://orcid.org/0000-0003-3176-353X"},"institutions":[{"id":"https://openalex.org/I59483232","display_name":"Shandong University of Finance and Economics","ror":"https://ror.org/02e2nnq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I59483232"]},{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Honghai Wang","raw_affiliation_strings":["School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, China","School of Management and Economics, Beijing Institute of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, China","institution_ids":["https://openalex.org/I59483232"]},{"raw_affiliation_string":"School of Management and Economics, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005899189","display_name":"Yanbing Ju","orcid":"https://orcid.org/0000-0003-4188-4343"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanbing Ju","raw_affiliation_strings":["School of Management and Economics, Beijing Institute of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Management and Economics, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089438496","display_name":"\u041f\u044d\u0439\u0434\u044d \u041b\u044e","orcid":"https://orcid.org/0000-0001-5048-8145"},"institutions":[{"id":"https://openalex.org/I59483232","display_name":"Shandong University of Finance and Economics","ror":"https://ror.org/02e2nnq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I59483232"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peide Liu","raw_affiliation_strings":["School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, China"],"affiliations":[{"raw_affiliation_string":"School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, China","institution_ids":["https://openalex.org/I59483232"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068095650","display_name":"Dawei Ju","orcid":null},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dawei Ju","raw_affiliation_strings":["School of Management and Economics, Beijing Institute of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Management and Economics, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019610396","display_name":"Zhengmin Liu","orcid":"https://orcid.org/0000-0002-8115-6773"},"institutions":[{"id":"https://openalex.org/I59483232","display_name":"Shandong University of Finance and Economics","ror":"https://ror.org/02e2nnq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I59483232"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhengmin Liu","raw_affiliation_strings":["School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, China"],"affiliations":[{"raw_affiliation_string":"School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, China","institution_ids":["https://openalex.org/I59483232"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101526987"],"corresponding_institution_ids":["https://openalex.org/I125839683","https://openalex.org/I59483232"],"apc_list":null,"apc_paid":null,"fwci":1.694,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.85740788,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"35","issue":"2","first_page":"2323","last_page":"2337"},"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9760000109672546,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.972000002861023,"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":0.7123314738273621},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6987770795822144},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6696072816848755},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6518560647964478},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6030475497245789},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.510452151298523},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.509933352470398},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.4633199870586395},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4531727433204651},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33427613973617554},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3283725380897522},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23773419857025146},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08710262179374695}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.7123314738273621},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6987770795822144},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6696072816848755},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6518560647964478},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6030475497245789},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.510452151298523},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.509933352470398},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.4633199870586395},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4531727433204651},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33427613973617554},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3283725380897522},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23773419857025146},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08710262179374695},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-17636","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-17636","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 &amp; Fuzzy 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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W272754050","https://openalex.org/W602086847","https://openalex.org/W1835933424","https://openalex.org/W1905771608","https://openalex.org/W1974562332","https://openalex.org/W1984086474","https://openalex.org/W1984935922","https://openalex.org/W1985317768","https://openalex.org/W1991377734","https://openalex.org/W2016698635","https://openalex.org/W2024315387","https://openalex.org/W2026829949","https://openalex.org/W2032430307","https://openalex.org/W2036575376","https://openalex.org/W2055291147","https://openalex.org/W2074922760","https://openalex.org/W2079612625","https://openalex.org/W2080179900","https://openalex.org/W2093038045","https://openalex.org/W2127143632","https://openalex.org/W2127809688","https://openalex.org/W2128251760","https://openalex.org/W2130902850","https://openalex.org/W2132885717","https://openalex.org/W2136176363","https://openalex.org/W2141178894","https://openalex.org/W2157041604","https://openalex.org/W2266726114","https://openalex.org/W2279353385","https://openalex.org/W2322940646","https://openalex.org/W2329317779","https://openalex.org/W2494085801","https://openalex.org/W2563128797","https://openalex.org/W2592252607","https://openalex.org/W2592542840","https://openalex.org/W2606031165","https://openalex.org/W2788653635","https://openalex.org/W2933482202","https://openalex.org/W4245152641"],"related_works":["https://openalex.org/W2151097448","https://openalex.org/W2796809906","https://openalex.org/W2348660983","https://openalex.org/W2286890209","https://openalex.org/W2913148204","https://openalex.org/W1976254693","https://openalex.org/W2384801745","https://openalex.org/W2369673506","https://openalex.org/W2040240542","https://openalex.org/W1928552208"],"abstract_inverted_index":{"To":[0],"date,":[1],"type-2":[2,54,66,76,126],"fuzzy":[3,25,55,67,77,127],"sets":[4],"have":[5],"attracted":[6],"much":[7],"more":[8,15],"interest":[9],"of":[10,124,144,153],"the":[11,39,95,112,118,122,149,154,163],"researchers,":[12],"which":[13,35,111],"are":[14,115],"capable":[16],"to":[17,51,147],"handle":[18],"uncertain":[19],"and":[20,57,73,91,117,151,157,166],"imprecision":[21],"information":[22],"than":[23],"type-1":[24],"sets.":[26],"Heronian":[27,49,69,80],"mean":[28,32,50,70,81],"is":[29],"a":[30,131,141,159],"classical":[31],"aggregation":[33,60],"operator":[34,72],"can":[36],"effectively":[37],"consider":[38],"interrelationships":[40],"between":[41,162],"various":[42],"arguments.":[43],"In":[44],"this":[45],"paper,":[46],"we":[47,85,129,139],"extend":[48],"trapezoidal":[52,64,74],"interval":[53,65,75,125],"environment":[56],"present":[58],"some":[59],"operators,":[61],"such":[62],"as":[63],"generalized":[68,79],"(TIT2FGHM)":[71],"weighted":[78],"(TIT2FWGHM)":[82],"operator.":[83,137],"Then,":[84],"further":[86],"discuss":[87],"several":[88],"desirable":[89],"properties":[90],"particular":[92],"cases":[93],"when":[94],"parameters":[96],"take":[97,121],"diverse":[98],"values":[99,120],"in":[100,110],"detail.":[101],"Moreover,":[102],"concerning":[103],"multiple":[104],"attribute":[105,119],"group":[106],"decision":[107,113],"making":[108],"problems":[109],"attributes":[114],"interdependent":[116],"forms":[123],"numbers,":[128],"propose":[130],"new":[132],"approach":[133],"based":[134],"on":[135],"TIT2FWGHM":[136],"Finally,":[138],"provide":[140],"numerical":[142],"example":[143],"providers":[145],"selection":[146],"illustrate":[148],"practicality":[150],"effectiveness":[152],"proposed":[155,164],"method":[156,165],"give":[158],"comparison":[160],"analysis":[161],"existing":[167],"methods.":[168]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
