{"id":"https://openalex.org/W1981428226","doi":"https://doi.org/10.1142/s0218488503001989","title":"Weighted Fuzzy Averages in Fuzzy Environment: Part I. Insufficient Expert Data and Fuzzy Averages","display_name":"Weighted Fuzzy Averages in Fuzzy Environment: Part I. Insufficient Expert Data and Fuzzy Averages","publication_year":2003,"publication_date":"2003-04-01","ids":{"openalex":"https://openalex.org/W1981428226","doi":"https://doi.org/10.1142/s0218488503001989","mag":"1981428226"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488503001989","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488503001989","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based 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/A5081617835","display_name":"Gia Sirbiladze","orcid":"https://orcid.org/0000-0002-5279-7571"},"institutions":[{"id":"https://openalex.org/I102808428","display_name":"Tbilisi State University","ror":"https://ror.org/05fd1hd85","country_code":"GE","type":"education","lineage":["https://openalex.org/I102808428"]}],"countries":["GE"],"is_corresponding":false,"raw_author_name":"G. Sirbiladze","raw_affiliation_strings":["Chair of Random Precesses Theory, Department of Applied Mathematics and Computer Sciences, Tbilisi State University, Georgia, 2, University St., Tbilisi  380043, Georgia","Chair of Random Precesses Theory, Department of Applied Mathematics and Computer Sciences, Tbilisi State University, Georgia, 2, University St., Tbilisi 380043, Georgia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chair of Random Precesses Theory, Department of Applied Mathematics and Computer Sciences, Tbilisi State University, Georgia, 2, University St., Tbilisi  380043, Georgia","institution_ids":["https://openalex.org/I102808428"]},{"raw_affiliation_string":"Chair of Random Precesses Theory, Department of Applied Mathematics and Computer Sciences, Tbilisi State University, Georgia, 2, University St., Tbilisi 380043, Georgia","institution_ids":["https://openalex.org/I102808428"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047059242","display_name":"Anna Sikharulidze","orcid":null},"institutions":[{"id":"https://openalex.org/I102808428","display_name":"Tbilisi State University","ror":"https://ror.org/05fd1hd85","country_code":"GE","type":"education","lineage":["https://openalex.org/I102808428"]}],"countries":["GE"],"is_corresponding":false,"raw_author_name":"A. Sikharulidze","raw_affiliation_strings":["Chair of Software and Information Technologies, Department of Applied Mathematics and Computer Sciences, Tbilisi State University, Georgia, 2, University St., Tbilisi  380043, Georgia","Chair of Software and Information Technologies, Department of Applied Mathematics and Computer Sciences, Tbilisi State University, Georgia, 2, University St., Tbilisi 380043, Georgia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chair of Software and Information Technologies, Department of Applied Mathematics and Computer Sciences, Tbilisi State University, Georgia, 2, University St., Tbilisi  380043, Georgia","institution_ids":["https://openalex.org/I102808428"]},{"raw_affiliation_string":"Chair of Software and Information Technologies, Department of Applied Mathematics and Computer Sciences, Tbilisi State University, Georgia, 2, University St., Tbilisi 380043, Georgia","institution_ids":["https://openalex.org/I102808428"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I102808428"],"apc_list":null,"apc_paid":null,"fwci":3.0657,"has_fulltext":false,"cited_by_count":63,"citation_normalized_percentile":{"value":0.90662094,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"11","issue":"02","first_page":"139","last_page":"157"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9976000189781189,"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":0.9976000189781189,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9958000183105469,"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"}},{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9937999844551086,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7180656790733337},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5993163585662842},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5641158223152161},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5401614308357239},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5314580202102661},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.5149770379066467},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.47760888934135437},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.47754940390586853},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.46448880434036255},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.44304993748664856},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.442994624376297},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.43197867274284363},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.4299367368221283},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.425525963306427},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.41888633370399475},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.38425397872924805},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3363836407661438},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20684805512428284},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20411762595176697},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.2029457986354828},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18196424841880798},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07002285122871399}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7180656790733337},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5993163585662842},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5641158223152161},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5401614308357239},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5314580202102661},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.5149770379066467},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.47760888934135437},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.47754940390586853},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.46448880434036255},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.44304993748664856},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.442994624376297},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.43197867274284363},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.4299367368221283},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.425525963306427},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.41888633370399475},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.38425397872924805},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3363836407661438},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20684805512428284},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20411762595176697},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.2029457986354828},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18196424841880798},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07002285122871399},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","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/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218488503001989","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488503001989","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1970677594","https://openalex.org/W1974607991","https://openalex.org/W1985078508","https://openalex.org/W2042614007","https://openalex.org/W2044770310","https://openalex.org/W2060526160"],"related_works":["https://openalex.org/W1487720066","https://openalex.org/W2781808531","https://openalex.org/W4361984403","https://openalex.org/W1975005191","https://openalex.org/W2674573885","https://openalex.org/W2253053392","https://openalex.org/W2145270521","https://openalex.org/W2791187250","https://openalex.org/W3186561448","https://openalex.org/W2025902904"],"abstract_inverted_index":{"Three":[0],"new":[1,133],"versions":[2],"of":[3,10,27,77,83,148],"the":[4,11,28,48,60,65,78,84,102,110,124,132,137,140,144],"most":[5],"typical":[6],"value":[7,32,113],"(MTV)":[8],"1,2":[9],"population":[12,85],"(generalized":[13],"weighted":[14,29,66],"averages)":[15],"are":[16,63,75],"introduced.":[17],"The":[18,57,118],"first":[19],"version,":[20],"WFEV":[21,49],"g":[22,39,73,95,142],",":[23],"is":[24,55,121,152],"a":[25,41,51,87,97,149],"generalization":[26],"fuzzy":[30,37,67,93,103,111],"expected":[31,68,104,112],"(WFEV)":[33],"3":[34,127],"for":[35,86,91],"any":[36,92],"measure":[38,94],"on":[40,96,123],"finite":[42,98],"set":[43],"and":[44,59,71,90,129,139],"it":[45],"coincides":[46],"with":[47],"when":[50,101,143],"sampling":[52,88],"probability":[53],"distribution":[54,89],"used.":[56,153],"second":[58],"third":[61],"version":[62],"respectively":[64],"intervals":[69],"WFEI":[70,72,138,141],"which":[74],"generalizations":[76],"WFEV,":[79],"namely,":[80],"MTV":[81,134],"s":[82,135],"set,":[99],"respectively,":[100],"interval":[105,146],"(FEI)":[106],"4":[107,115],"exists":[108],"but":[109],"(FEV)":[114],"does":[116],"not.":[117],"construction":[119],"process":[120],"based":[122],"Friedman-Schneider-Kandel":[125],"(FSK)":[126],"principle":[128],"results":[130],"in":[131],"called":[136],"combinatorial":[145],"extension":[147],"function":[150],"5":[151]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":13}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
