Fuzzy arithmetic based on dimension-adaptive sparse grids: A case study of a large-scale finite element model under uncertain parameters

dc.creatorKlimke, A
dc.creatorNunes, RF
dc.creatorWohlmuth, BI
dc.date2006
dc.dateOCT
dc.date2014-11-13T23:46:16Z
dc.date2015-11-26T16:03:04Z
dc.date2014-11-13T23:46:16Z
dc.date2015-11-26T16:03:04Z
dc.date.accessioned2018-03-28T22:52:25Z
dc.date.available2018-03-28T22:52:25Z
dc.identifierInternational Journal Of Uncertainty Fuzziness And Knowledge-based Systems. World Scientific Publ Co Pte Ltd, v. 14, n. 5, n. 561, n. 577, 2006.
dc.identifier0218-4885
dc.identifierWOS:000241502300003
dc.identifier10.1142/S0218488506004199
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/67709
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/67709
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/67709
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1265202
dc.descriptionFuzzy arithmetic provides a powerful tool to introduce uncertainty into mathematical models. With Zadeh's extension principle, one can obtain a fuzzy-valued extension of any real-valued objective function. An efficient and accurate approach to computing expensive multivariate functions of fuzzy numbers is given by fuzzy arithmetic based on sparse grids. In many cases, not all uncertain input parameters carry equal weight, or the objective model exhibits separable structure. These characteristics can be exploited by dimension-adaptive algorithms. As a result, the treatment of even higher-dimensional problems becomes possible. This is demonstrated in this paper by a case study involving two large-scale finite element models in vibration engineering that are subjected to fuzzy-valued input data.
dc.description14
dc.description5
dc.description561
dc.description577
dc.languageen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.publisherSingapore
dc.publisherSingapura
dc.relationInternational Journal Of Uncertainty Fuzziness And Knowledge-based Systems
dc.relationInt. J. Uncertainty Fuzziness Knowl.-Based Syst.
dc.rightsfechado
dc.sourceWeb of Science
dc.subjectfuzzy numbers
dc.subjectextension principle
dc.subjectcomputing fuzzy functions
dc.subjectuncertainty modeling
dc.subjectsparse grids
dc.titleFuzzy arithmetic based on dimension-adaptive sparse grids: A case study of a large-scale finite element model under uncertain parameters
dc.typeArtículos de revistas


Este ítem pertenece a la siguiente institución