{"id":"https://openalex.org/W1999697669","doi":"https://doi.org/10.1016/s0165-0114(96)00169-8","title":"On the variance of fuzzy random variables","display_name":"On the variance of fuzzy random variables","publication_year":1997,"publication_date":"1997-11-01","ids":{"openalex":"https://openalex.org/W1999697669","doi":"https://doi.org/10.1016/s0165-0114(96)00169-8","mag":"1999697669"},"language":"en","primary_location":{"id":"doi:10.1016/s0165-0114(96)00169-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-0114(96)00169-8","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets 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/A5111705909","display_name":"Ralf K\u00f6rner","orcid":null},"institutions":[{"id":"https://openalex.org/I61893789","display_name":"TU Bergakademie Freiberg","ror":"https://ror.org/031vc2293","country_code":"DE","type":"education","lineage":["https://openalex.org/I61893789"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Ralf K\u00f6rner","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, Freiberg University of Mining and Technology, 09596 Freiberg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Freiberg University of Mining and Technology, 09596 Freiberg, Germany","institution_ids":["https://openalex.org/I61893789"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111705909"],"corresponding_institution_ids":["https://openalex.org/I61893789"],"apc_list":{"value":2600,"currency":"USD","value_usd":2600},"apc_paid":null,"fwci":2.7547,"has_fulltext":false,"cited_by_count":182,"citation_normalized_percentile":{"value":0.9079376,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"92","issue":"1","first_page":"83","last_page":"93"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998999834060669,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9872999787330627,"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":0.9452999830245972,"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":0.8623166084289551},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.6297836899757385},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.5551827549934387},{"id":"https://openalex.org/keywords/sum-of-normally-distributed-random-variables","display_name":"Sum of normally distributed random variables","score":0.5243185758590698},{"id":"https://openalex.org/keywords/law-of-total-variance","display_name":"Law of total variance","score":0.5124238133430481},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4770469069480896},{"id":"https://openalex.org/keywords/algebra-of-random-variables","display_name":"Algebra of random variables","score":0.4518049955368042},{"id":"https://openalex.org/keywords/convergence-of-random-variables","display_name":"Convergence of random variables","score":0.43056726455688477},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4272989332675934},{"id":"https://openalex.org/keywords/variance-based-sensitivity-analysis","display_name":"Variance-based sensitivity analysis","score":0.4172383248806},{"id":"https://openalex.org/keywords/random-element","display_name":"Random element","score":0.413544237613678},{"id":"https://openalex.org/keywords/one-way-analysis-of-variance","display_name":"One-way analysis of variance","score":0.28390392661094666},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.21271714568138123},{"id":"https://openalex.org/keywords/conditional-variance","display_name":"Conditional variance","score":0.16831687092781067},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16424095630645752},{"id":"https://openalex.org/keywords/analysis-of-variance","display_name":"Analysis of variance","score":0.15172943472862244},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0826994776725769}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8623166084289551},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.6297836899757385},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5551827549934387},{"id":"https://openalex.org/C182514268","wikidata":"https://www.wikidata.org/wiki/Q7636889","display_name":"Sum of normally distributed random variables","level":4,"score":0.5243185758590698},{"id":"https://openalex.org/C18934984","wikidata":"https://www.wikidata.org/wiki/Q1055879","display_name":"Law of total variance","level":5,"score":0.5124238133430481},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4770469069480896},{"id":"https://openalex.org/C89231458","wikidata":"https://www.wikidata.org/wiki/Q4723976","display_name":"Algebra of random variables","level":4,"score":0.4518049955368042},{"id":"https://openalex.org/C95763700","wikidata":"https://www.wikidata.org/wiki/Q578985","display_name":"Convergence of random variables","level":3,"score":0.43056726455688477},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4272989332675934},{"id":"https://openalex.org/C108311543","wikidata":"https://www.wikidata.org/wiki/Q7915756","display_name":"Variance-based sensitivity analysis","level":4,"score":0.4172383248806},{"id":"https://openalex.org/C52386014","wikidata":"https://www.wikidata.org/wiki/Q166211","display_name":"Random element","level":3,"score":0.413544237613678},{"id":"https://openalex.org/C152587130","wikidata":"https://www.wikidata.org/wiki/Q7092351","display_name":"One-way analysis of variance","level":3,"score":0.28390392661094666},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.21271714568138123},{"id":"https://openalex.org/C21430997","wikidata":"https://www.wikidata.org/wiki/Q5159279","display_name":"Conditional variance","level":4,"score":0.16831687092781067},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16424095630645752},{"id":"https://openalex.org/C99476002","wikidata":"https://www.wikidata.org/wiki/Q42297","display_name":"Analysis of variance","level":2,"score":0.15172943472862244},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0826994776725769},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C91602232","wikidata":"https://www.wikidata.org/wiki/Q756115","display_name":"Volatility (finance)","level":2,"score":0.0},{"id":"https://openalex.org/C23922673","wikidata":"https://www.wikidata.org/wiki/Q180752","display_name":"Autoregressive conditional heteroskedasticity","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0165-0114(96)00169-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-0114(96)00169-8","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets and Systems","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.46.2006","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.46.2006","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mathe.tu-freiberg.de/Stoch/Koerner/varfuzz6.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1483175286","https://openalex.org/W1571966798","https://openalex.org/W1974720515","https://openalex.org/W2051783828","https://openalex.org/W2059228993","https://openalex.org/W2093827652","https://openalex.org/W2113424739","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4312882737","https://openalex.org/W6849304067"],"related_works":["https://openalex.org/W3195391652","https://openalex.org/W2259932122","https://openalex.org/W66664637","https://openalex.org/W2389966714","https://openalex.org/W3022658128","https://openalex.org/W121312646","https://openalex.org/W2038346114","https://openalex.org/W4378551343","https://openalex.org/W2497941610","https://openalex.org/W4246232962"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":9}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}