{"id":"https://openalex.org/W4311121625","doi":"https://doi.org/10.1080/01969722.2022.2151181","title":"Spherical Fuzzy Choquet Integral-Based VIKOR Method for Multi-Criteria Group Decision-Making Problems","display_name":"Spherical Fuzzy Choquet Integral-Based VIKOR Method for Multi-Criteria Group Decision-Making Problems","publication_year":2022,"publication_date":"2022-12-02","ids":{"openalex":"https://openalex.org/W4311121625","doi":"https://doi.org/10.1080/01969722.2022.2151181"},"language":"en","primary_location":{"id":"doi:10.1080/01969722.2022.2151181","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01969722.2022.2151181","pdf_url":null,"source":{"id":"https://openalex.org/S117436046","display_name":"Cybernetics & Systems","issn_l":"0196-9722","issn":["0196-9722","1087-6553"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cybernetics and 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/A5072705506","display_name":"Laxmi Rajput","orcid":"https://orcid.org/0000-0002-6768-1248"},"institutions":[{"id":"https://openalex.org/I252758333","display_name":"Govind Ballabh Pant University of Agriculture and Technology","ror":"https://ror.org/02msjvh03","country_code":"IN","type":"education","lineage":["https://openalex.org/I252758333"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Laxmi Rajput","raw_affiliation_strings":["Department of Mathematics, Statistics and Computer Science, Govind Ballabh Pant University of Agriculture and Technology, Pantnagar, Uttarakhand, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics and Computer Science, Govind Ballabh Pant University of Agriculture and Technology, Pantnagar, Uttarakhand, India","institution_ids":["https://openalex.org/I252758333"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065670073","display_name":"Sanjay Kumar","orcid":"https://orcid.org/0000-0003-3659-5387"},"institutions":[{"id":"https://openalex.org/I252758333","display_name":"Govind Ballabh Pant University of Agriculture and Technology","ror":"https://ror.org/02msjvh03","country_code":"IN","type":"education","lineage":["https://openalex.org/I252758333"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Sanjay Kumar","raw_affiliation_strings":["Department of Mathematics, Statistics and Computer Science, Govind Ballabh Pant University of Agriculture and Technology, Pantnagar, Uttarakhand, India"],"raw_orcid":"https://orcid.org/0000-0003-3659-5387","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics and Computer Science, Govind Ballabh Pant University of Agriculture and Technology, Pantnagar, Uttarakhand, India","institution_ids":["https://openalex.org/I252758333"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5065670073"],"corresponding_institution_ids":["https://openalex.org/I252758333"],"apc_list":null,"apc_paid":null,"fwci":0.45,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.66110472,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"55","issue":"8","first_page":"2308","last_page":"2328"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998000264167786,"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":0.9998000264167786,"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":0.983299970626831,"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/T11502","display_name":"Facility Location and Emergency Management","score":0.9751999974250793,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/choquet-integral","display_name":"Choquet integral","score":0.9564045667648315},{"id":"https://openalex.org/keywords/vikor-method","display_name":"VIKOR method","score":0.7435020804405212},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6511126756668091},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6178513765335083},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.5674986839294434},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5475550293922424},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.49277737736701965},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.4526134431362152},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4496687650680542},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42542269825935364},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4055602550506592},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.357181191444397},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.246347576379776}],"concepts":[{"id":"https://openalex.org/C112799922","wikidata":"https://www.wikidata.org/wiki/Q5104911","display_name":"Choquet integral","level":3,"score":0.9564045667648315},{"id":"https://openalex.org/C172438850","wikidata":"https://www.wikidata.org/wiki/Q7907019","display_name":"VIKOR method","level":3,"score":0.7435020804405212},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6511126756668091},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6178513765335083},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.5674986839294434},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5475550293922424},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.49277737736701965},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.4526134431362152},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4496687650680542},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42542269825935364},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4055602550506592},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.357181191444397},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.246347576379776},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"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/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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/01969722.2022.2151181","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01969722.2022.2151181","pdf_url":null,"source":{"id":"https://openalex.org/S117436046","display_name":"Cybernetics & Systems","issn_l":"0196-9722","issn":["0196-9722","1087-6553"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cybernetics and Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7599999904632568,"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":60,"referenced_works":["https://openalex.org/W32692342","https://openalex.org/W1422679120","https://openalex.org/W1980564456","https://openalex.org/W1998031161","https://openalex.org/W2013932252","https://openalex.org/W2033810643","https://openalex.org/W2047147035","https://openalex.org/W2057178439","https://openalex.org/W2059354089","https://openalex.org/W2079457935","https://openalex.org/W2089953456","https://openalex.org/W2257780880","https://openalex.org/W2289712525","https://openalex.org/W2298540165","https://openalex.org/W2530680027","https://openalex.org/W2563148980","https://openalex.org/W2564996866","https://openalex.org/W2746791943","https://openalex.org/W2799305415","https://openalex.org/W2804105936","https://openalex.org/W2900337413","https://openalex.org/W2901104715","https://openalex.org/W2903466805","https://openalex.org/W2912238170","https://openalex.org/W2919378363","https://openalex.org/W2933555685","https://openalex.org/W2943285699","https://openalex.org/W2949074561","https://openalex.org/W2954289684","https://openalex.org/W2965957848","https://openalex.org/W2968632614","https://openalex.org/W2970263100","https://openalex.org/W2980905588","https://openalex.org/W2988538826","https://openalex.org/W2990860246","https://openalex.org/W3003123368","https://openalex.org/W3006735787","https://openalex.org/W3011710793","https://openalex.org/W3012451683","https://openalex.org/W3028372551","https://openalex.org/W3038708246","https://openalex.org/W3088775364","https://openalex.org/W3092781914","https://openalex.org/W3109432046","https://openalex.org/W3157456600","https://openalex.org/W3160245528","https://openalex.org/W3160533544","https://openalex.org/W3166601339","https://openalex.org/W3171088026","https://openalex.org/W3176231474","https://openalex.org/W3181872401","https://openalex.org/W3196501469","https://openalex.org/W4205850226","https://openalex.org/W4211007335","https://openalex.org/W4220864109","https://openalex.org/W4230514541","https://openalex.org/W4281611916","https://openalex.org/W4281666453","https://openalex.org/W4293761344","https://openalex.org/W6728217526"],"related_works":["https://openalex.org/W2031391348","https://openalex.org/W2135117476","https://openalex.org/W2352838457","https://openalex.org/W2379272961","https://openalex.org/W2022701698","https://openalex.org/W3205429492","https://openalex.org/W2048944423","https://openalex.org/W2125156511","https://openalex.org/W3033668314","https://openalex.org/W3011710793"],"abstract_inverted_index":{"Inter-dependency":[0],"among":[1,90],"the":[2,9,33,44,47,62,86,91,117,127],"decision":[3,58,94,97],"criteria":[4,98],"and":[5,17,67,96,99,124,151,159,177],"difficulty":[6],"of":[7,13,35,46,56,88,93,111],"handling":[8,57],"information":[10],"in":[11,26,32,61,85],"form":[12,63],"\u201cyes,\u201d":[14,64],"\u201cabstain,\u201d":[15,65],"\u201cno,\u201d":[16,66],"\u201crefusal\u201d":[18,68],"are":[19,179],"two":[20],"important":[21],"issues":[22],"to":[23,53,115,125],"be":[24],"addressed":[25],"multicriteria":[27],"group":[28],"decision-making":[29],"(MCGDM)":[30],"problems":[31,51,176],"environment":[34],"uncertainty.":[36],"Recently,":[37],"spherical":[38,118,135,143,147,152],"fuzzy":[39,73,119,136,144,148,153],"set":[40],"(SFS)":[41],"has":[42,78],"gained":[43],"attention":[45],"researchers":[48],"for":[49,106,134,164],"MCGDM":[50,165,183],"due":[52],"their":[54],"capability":[55],"makers\u2019":[59],"preferences":[60,92],"more":[69],"efficiently":[70],"than":[71],"picture":[72],"set.":[74],"Choquet":[75,103,120,145,149,154],"integral":[76,104,121,155],"operator":[77,84,105,123],"an":[79],"edge":[80],"over":[81],"traditional":[82],"aggregation":[83],"modeling":[87],"interaction":[89],"makers":[95],"therefore,":[100],"we":[101,141],"define":[102,116,142],"SFS.":[107],"The":[108],"main":[109],"objective":[110],"this":[112,139],"study":[113,140],"is":[114,171],"(SFCI)":[122],"extend":[126],"VIsekriterijumska":[128],"optimizacija":[129],"I":[130],"Kmpromisno":[131],"Resenje":[132],"(VIKOR)":[133],"environment.":[137],"In":[138],"average,":[146],"geometric":[150],"distance":[156],"(SFCID)":[157],"operators":[158],"propose":[160],"SFCI-based":[161,168],"VIKOR":[162,169],"method":[163,170],"problems.":[166],"Proposed":[167],"applied":[172],"on":[173],"warehouse":[174],"selection":[175],"results":[178],"compared":[180],"with":[181],"existing":[182],"methods.":[184]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}
