{"id":"https://openalex.org/W2826020435","doi":"https://doi.org/10.3233/jifs-18125","title":"Some geometric operators with triangular cubic linguistic hesitant fuzzy number and their application in group decision-making","display_name":"Some geometric operators with triangular cubic linguistic hesitant fuzzy number and their application in group decision-making","publication_year":2018,"publication_date":"2018-07-06","ids":{"openalex":"https://openalex.org/W2826020435","doi":"https://doi.org/10.3233/jifs-18125","mag":"2826020435"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-18125","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-18125","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/A5101840630","display_name":"Aliya Fahmi","orcid":"https://orcid.org/0000-0003-1049-430X"},"institutions":[{"id":"https://openalex.org/I263208278","display_name":"Hazara University","ror":"https://ror.org/018y22094","country_code":"PK","type":"education","lineage":["https://openalex.org/I263208278"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"A. Fahmi","raw_affiliation_strings":["Department of Mathematics, Hazara University Mansehra, KPK, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hazara University Mansehra, KPK, Pakistan","institution_ids":["https://openalex.org/I263208278"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077817609","display_name":"Saleem Abdullah","orcid":"https://orcid.org/0000-0002-7474-5115"},"institutions":[{"id":"https://openalex.org/I181063083","display_name":"Abdul Wali Khan University Mardan","ror":"https://ror.org/03b9y4e65","country_code":"PK","type":"education","lineage":["https://openalex.org/I181063083"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"S. Abdullah","raw_affiliation_strings":["Department of Mathematics, Abdul Wali Khan University Mardan, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Abdul Wali Khan University Mardan, Pakistan","institution_ids":["https://openalex.org/I181063083"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020344801","display_name":"Fazli Amin","orcid":"https://orcid.org/0000-0001-7211-9324"},"institutions":[{"id":"https://openalex.org/I263208278","display_name":"Hazara University","ror":"https://ror.org/018y22094","country_code":"PK","type":"education","lineage":["https://openalex.org/I263208278"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"F. Amin","raw_affiliation_strings":["Department of Mathematics, Hazara University Mansehra, KPK, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hazara University Mansehra, KPK, Pakistan","institution_ids":["https://openalex.org/I263208278"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101991417","display_name":"Asad Ali","orcid":"https://orcid.org/0000-0001-9784-3378"},"institutions":[{"id":"https://openalex.org/I263208278","display_name":"Hazara University","ror":"https://ror.org/018y22094","country_code":"PK","type":"education","lineage":["https://openalex.org/I263208278"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Asad Ali","raw_affiliation_strings":["Department of Mathematics, Hazara University Mansehra, KPK, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hazara University Mansehra, KPK, Pakistan","institution_ids":["https://openalex.org/I263208278"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103679361","display_name":"Waqar Ahmad Khan","orcid":null},"institutions":[{"id":"https://openalex.org/I4210150237","display_name":"Dhofar University","ror":"https://ror.org/05d5f5m07","country_code":"OM","type":"education","lineage":["https://openalex.org/I4210150237"]}],"countries":["OM"],"is_corresponding":false,"raw_author_name":"W. Ahmad Khan","raw_affiliation_strings":["Mathematics Unit, Foundation Program, Dhofar University, Salalah, Sultanate of Oman"],"affiliations":[{"raw_affiliation_string":"Mathematics Unit, Foundation Program, Dhofar University, Salalah, Sultanate of Oman","institution_ids":["https://openalex.org/I4210150237"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101840630"],"corresponding_institution_ids":["https://openalex.org/I263208278"],"apc_list":null,"apc_paid":null,"fwci":14.1873,"has_fulltext":false,"cited_by_count":79,"citation_normalized_percentile":{"value":0.9904043,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"35","issue":"2","first_page":"2485","last_page":"2499"},"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9710999727249146,"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/operator","display_name":"Operator (biology)","score":0.7236944437026978},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6608594655990601},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.6270442008972168},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6231948137283325},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.43150418996810913},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.3799235224723816},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3403457999229431},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3314698338508606},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3121635615825653},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22310420870780945},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.06186389923095703},{"id":"https://openalex.org/keywords/social-psychology","display_name":"Social psychology","score":0.05379036068916321}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.7236944437026978},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6608594655990601},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.6270442008972168},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6231948137283325},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.43150418996810913},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.3799235224723816},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3403457999229431},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3314698338508606},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3121635615825653},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22310420870780945},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.06186389923095703},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.05379036068916321},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/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-18125","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-18125","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":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.49000000953674316}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1521494213","https://openalex.org/W1528458083","https://openalex.org/W1529762651","https://openalex.org/W1571795992","https://openalex.org/W1811544280","https://openalex.org/W1971403896","https://openalex.org/W1980564456","https://openalex.org/W1995972849","https://openalex.org/W2046414928","https://openalex.org/W2057636328","https://openalex.org/W2085388609","https://openalex.org/W2092606478","https://openalex.org/W2116365436","https://openalex.org/W2117317223","https://openalex.org/W2156733681","https://openalex.org/W2157041604","https://openalex.org/W2327408831","https://openalex.org/W2346604114","https://openalex.org/W2404062815","https://openalex.org/W2414078667","https://openalex.org/W2472478905","https://openalex.org/W2593514577","https://openalex.org/W2595118259","https://openalex.org/W2609291468","https://openalex.org/W2610473867","https://openalex.org/W3167585610","https://openalex.org/W4211007335","https://openalex.org/W4245152641","https://openalex.org/W4292295629","https://openalex.org/W6679780668"],"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":{"In":[0],"this":[1],"paper,":[2],"we":[3,53],"define":[4],"aggregation":[5,56],"operators":[6,57],"for":[7],"triangular":[8,16,23,32,43,66],"cubic":[9,17,24,33,44,67],"linguistic":[10,18,25,34,45,68],"hesitant":[11,19,26,35,46,69],"fuzzy":[12,20,27,36,47,70],"sets":[13],"which":[14],"include":[15],"(geometric)":[21],"operator,":[22,31],"weighted":[28,38],"geometric":[29,39,49],"(TCLHFWG)":[30],"ordered":[37],"(TCHFOWG)":[40],"operator":[41],"and":[42],"hybrid":[48],"(TCLHFHG)":[50],"operator.":[51],"Furthermore,":[52],"relate":[54],"these":[55],"to":[58,62,78],"develop":[59],"an":[60],"approach":[61],"multi-attribute":[63],"decision-making":[64],"with":[65],"information.":[71],"Finally,":[72],"a":[73],"numerical":[74],"example":[75],"is":[76],"providing":[77],"demonstrate":[79],"the":[80,83],"submission":[81],"of":[82],"established":[84],"approach.":[85]},"counts_by_year":[{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":27},{"year":2018,"cited_by_count":12}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}